test the hypothesis using the p-value approach. be sure to verify the requirements of the test. h0: p
Answers
To test a hypothesis using the p-value approach, you need to follow these steps:
1. Formulate the null and alternative hypotheses:
- The null hypothesis, denoted as H0, states that there is no significant difference or relationship between the variables being studied.
- The alternative hypothesis, denoted as Ha or H1, states that there is a significant difference or relationship between the variables.
2. Verify the requirements of the test:
- Before performing the hypothesis test, you need to ensure that the assumptions and requirements of the test are met. These requirements may vary depending on the type of test and data you have. Common requirements include independence, random sampling, normality, and equal variances.
3. Choose an appropriate significance level (α):
- The significance level, denoted as α, is the predetermined threshold below which we reject the null hypothesis. Commonly used significance levels are 0.05 (5%) and 0.01 (1%).
4. Calculate the test statistic:
- The test statistic is a numerical value that summarizes the evidence against the null hypothesis. The specific test statistic depends on the type of hypothesis test being conducted. For example, if you're testing the difference between two population means, you might use the t-test or z-test.
5. Calculate the p-value:
- The p-value is the probability of obtaining a test statistic as extreme as the one observed, assuming that the null hypothesis is true. It measures the strength of the evidence against the null hypothesis. A small p-value suggests strong evidence against the null hypothesis, while a large p-value suggests weak evidence.
6. Make a decision:
- Compare the p-value to the significance level (α) you chose in step 3. If the p-value is less than or equal to α, reject the null hypothesis. If the p-value is greater than α, fail to reject the null hypothesis.
Remember that failing to reject the null hypothesis doesn't necessarily prove it to be true. It simply means that there is not enough evidence to support the alternative hypothesis.
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Related Questions
The function W(h, A) represents the weight (in kg) of a bull elephant as a function of its height (h, in meters) and age (A, in years). (a) Give a real-life interpretation for the expression W(2.5, 38) = 4, 500, including proper units. = W(2.6,38)-W(2.5,38) (b) Give a real-life interpretation for the expression 60, including proper units. 2.6-2.5 (c) Give a real-life interpretation for the equation W(h, 45) = 4,800; what would a solution to this equation tell us?
Answers
(a) The weight of a bull elephant that is 2.5 meters tall and 38 years old is 4,500 kg.
(b) The difference in height between two bull elephants is 0.1 meters or 10 centimeters.
(c) A solution to the equation W(h, 45) = 4,800 would tell us the height of a 45-year-old bull elephant whose weight is 4,800 kg.
(a) The weight of a bull elephant depends on its height and age. In this case, when the elephant is 2.5 meters tall and 38 years old, its weight is determined to be 4,500 kg. This indicates that for an elephant with these specific characteristics, its weight is 4,500 kg.
(b): The expression 60 represents the difference in height between two bull elephants. It specifically denotes the height of a bull elephant that is 2.6 meters minus the height of a bull elephant that is 2.5 meters. This calculation gives us the precise height difference between the two elephants, which in this case is 0.1 meters or 10 centimeters.
(c) The equation W(h, 45) = 4,800 describes the relationship between the height and weight of a bull elephant at the age of 45. By solving this equation, we can determine the height of a 45-year-old bull elephant whose weight is 4,800 kg. It provides a specific value for the height of an elephant of a particular age and weight, allowing us to make accurate measurements and predictions about these characteristics.
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Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What's
the solution set of this problem?
0 (-2,-21)
0 (-2,-21
O [-21,42)
(21,42)
Answers
Answer:
\(x \leqslant - 21\)
Step-by-step explanation:
\(5(x + 27) \geqslant 6(x + 26)\)\(5x + 135 \geqslant 6x + 156\)
\( - 21 \geqslant x\)
\(x \leqslant - 21\)
Salary paid ra10,000 and still due rs2000
Answers
Answer:
20bdnxjxkdjdnddwwuwuwjwjjw
A fair spinner has four colors:red,blue,yellow, and green. What is the probability of spinning blue,Then Red?
Answers
Answer:
1/4 for blue then 1/4 for red
Step-by-step explanation:
All colors have a 1/4 chance of landing on them since there are only 4 colors.
There is an equilateral triangle, ABC, inscribed in a circle with center D. What is the smallest angle you can rotate triangle ABC around D so that the image of A is B?
Answers
Answer:
correct answer is "B"...
Two cars stat from Chaboya to travel to Milpitas. The first car takes off two minutes before the second car. If the first car is going 45 mph and the second car is going 70 mph, how many miles before both cars are even with each other? You can answer this question with just the number. In other words, do not label your answer and don't use x
Answers
Let's denote the time it takes for the second car to catch up to the first car as "t" (in hours). Since the first car has a head start of 2 minutes, it travels for (t + 2/60) hours, as there are 60 minutes in an hour.
The distance each car travels can be represented by the formula: Distance = Speed × Time.
For the first car: Distance₁ = 45 × (t + 2/60)
For the second car: Distance₂ = 70 × t
Since both cars are even with each other when they have traveled the same distance, we can set the distances equal to each other:
45 × (t + 2/60) = 70 × t
Now, we can solve for t:
45t + 45 × 2/60 = 70t
45t + 1.5 = 70t
1.5 = 25t
t = 1.5/25 = 0.06 hours
Now, we can use the value of t to find the distance traveled by either car:
Distance = Speed × Time
Distance = 70 × 0.06
Distance = 4.2 miles
So, both cars are even with each other after they have traveled 4.2 miles.
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Solve the following system of equations algebraically:
y = x^2 – 10x + 15
y = 2x – 5
Answers
Answer:
(2, -1)
(10, 15)
Step-by-step explanation:
Subtract the second equation from the first
y = x² – 10x + 15
- (y = 2x – 5)
————————————
0 = x² - 12x + 20
Factor
(x - 2)(x - 10) = 0
x = {2, 10}
-------------------
For x = 2
y = 2(2) - 5
y = -1
Solution 1
(2, -1)
----------------------
For x = 10
y = 2(10) - 5
y = 15
Solution 2
(10, 15)
the roof of a gazebo is a regular octagonal pyramid. if the base of the pyramid has sides of 0.5 meter and the slant height of the roof is 1.9 meters, find the area of the roof
Answers
The area of the roof of the gazebo is approximately 3.7424 square meters.
What is surface area?
The space occupied by a two-dimensional flat surface is called the area. It is measured in square units. The area occupied by a three-dimensional object by its outer surface is called the surface area.
The area of the roof of a regular octagonal pyramid can be found by summing the areas of the eight triangular faces.
Each triangular face is an isosceles triangle, with two sides of length 0.5 meters (the sides of the octagon at the base) and one side of length 1.9 meters (the slant height of the pyramid). We can use the Pythagorean theorem to find the height of each triangular face:
h² = (1.9)² - (0.5/2)²
h² = 3.5025
h = 1.871 meters (rounded to three decimal places)
The area of each triangular face is then:
A = (1/2) * b * h
A = (1/2) * 0.5 * 1.871
A = 0.4678 square meters (rounded to four decimal places)
The total area of the roof is the sum of the areas of the eight triangular faces:
A_total = 8 * A
A_total = 8 * 0.4678
A_total = 3.7424 square meters (rounded to four decimal places)
Therefore, the area of the roof of the gazebo is approximately 3.7424 square meters.
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The number $f$ of miles a ship is from its destination $x$ hours after starting a voyage is given by $f\left(x\right)=420-30x.$ The number $f$ of miles a submarine is from its destination $x$ hours after leaving port is shown in the graph below. State the distance and length of time of each voyage.
Answers
Consider quadrilateral ABCD and it's image. Which statement describes the transformation.
~a.) Rotation of 180° counterclockwise about (0,2)
~b.) Reflection in the line x=2
~c.) Translation along the vector ⟨0,-4⟩
~d.) Reflection in the line y=2
Answers
The quadrilateral ABCD has been reflected across the line x=2 to form its image, as can be seen in the provided figure.
what is quadrilateral ?A quadrilateral is a closed object with four successive sides that is referred to as a four-sided polygon in geometry. A quadrilateral's internal angles are always added up to 360 degrees. There are numerous varieties of quadrilaterals, such as: A hexagon with two sets of parallel sides is called a parallelogram. A trapezoid with four sharp angles is a rectangle. a rectangles with four equal sides is referred to as square. A parallelogram with one of the parallel sides is called a trapezium (or a trapezoid in American English). A trapezoid with two adjacent sets of equal-length sides is referred to as a kite.
given
The quadrilateral ABCD has been reflected across the line x=2 to form its image, as can be seen in the provided figure.
Thus, the appropriate answer is: Refraction along the line x=2
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A cylindrical tank has a radius of 4 ft and holds 100 cu ft of water. What is the height of the tank?
Please help!!
Answers
Answer:
400 ft.
Step-by-step explanation:
4×100=400
This shows that when you multiply the radius of 4 by 100 ft. you gett a height of 400 which means the the height of the tank is 400 ft.
HELP it says Beth and Brianne had a yard sale to raise money. They donated 2 of their profits to their 10
school sports teams, 3 to the animal shelter, and 1 to the hospital. Which model can be 10 10
used to find the total fraction of their profits that they donated? Explain your thinking. PLEASE HELP ME
Answers
Based on the part-to-whole paradigm, we discover that they gave away 3/5 of their earnings.
The part-to-whole paradigm is more relevant here because they gave away a percentage of their earnings to several charities.
We may think of the overall revenues as the whole and the various gifts as the parts by applying the part-to-whole paradigm.
They gave up two portions to the school's athletic teams, three to an animal shelter, and one to a hospital.
They made 10 parts of donations in total: 2 parts, 3 parts, and 1 part.
As a result, they gave a total of 6/10 of their earnings, which may be expressed as 3/5.
Consequently, based on the part-to-whole paradigm, we discover that they gave away 3/5 of their earnings.
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Select all of the options which are examples of expenditure.
Answers
Giving money to charity
Buying food at a supermarket
Lending money to a friend
Which uses the GCF to generate an expression equivalent to 24v-84?
O3(8V-28)
O 6(4v-14)
O 12(2v-7)
O 24(V-60)
Answers
Answer:
(c) 12(2v-7)
Step-by-step explanation:
You want the expression resulting from factoring out the greatest common factor from the sum 24v -84.
GCFThe greatest common factor here is the GCF of 24 and 84. We note that ...
24 = 12·2
84 = 12·7
and 2 and 7 have no common factors. Then the GCF of 24 and 84 is 12.
The factored expression is ...
24v -84 = 12(2v -7)
__
Additional comment
The GCF can also be found by considering the remainder from dividing 84 by 24. That remainder is 12, which divides both numbers with a remainder of 0. Hence 12 is the GCF.
If the remainder did not divide both numbers with a remainder of 0, then the process is repeated to find the GCF of the smaller number (24) and the remainder. (This is a description of Euclid's algorithm for finding the GCF.)
steve is standing on a porch of a shore house in malibu. the elevatioin of the porch is about 138 feet steve's eye level is 5 feet above the porch floor. if steve can see a band of surfers on the water at an angle of depression approximately 29 degrees how far are the surfers from his eyes?
geometry trig unit.
Answers
The distance is 295 feet from the surfers from his eyes.
What is geometry?Geometry is the description of figures in a space with a specific number of dimensions and types. Plane geometry is the most prevalent sort of geometry (dealing with objects like the point, lines, circles, triangles, and polygons),
According to the given question, we have attached a figure which represents the given situation.
Let the distance would be x from the surfers from his eyes
As per the figure, using the sine ratio to find x:
sin 29° = perpendicular/hypotenuse
Substitute the known values and solve for x:
sin 29° = 143/x
0.4848 = 143/x
x = 294.96
x ≈ 295 feet
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In ΔUVW, w = 690 inches, m m∠W=79° and m m∠U=82°. Find the length of v, to the nearest 10th of an inch.
Answers
The measure of the length of side v is 228.8 inches
How to determine the measure of the length of side vFrom the question, we have the following parameters that can be used in our computation:
A triangle
The readings from the triangle are given as
Angle U = 82 degrees
Angle W = 79 degrees
Side w = 690 inches
Start by calculating the measure of angle V using the following equation
Angle V = 180 - Angle U - Angle W
Substitute the known values in the above equation, so, we have the following representation
Angle V = 180 - 82 - 79
Evaluate the difference
Angle V = 19
The length of V is then calculated by making use of the following sine law
v/sin(V) = w/sin(W)
Substitute the known values in the above equation, so, we have the following representation
v/sin(19) = 690/ sin(79)
This gives
v =/sin(19) * 690/ sin(79)
Evaluate the expression
v = 228.8
Hence, the length is 228.8 inches
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|-13\ = -(-13)
True False?
Answers
Answer:
This statement is true.
Step-by-step explanation:
The absolute value is how far the number is from zero, so how many steps will it take on a number line to get from that particular number to zero?
Since you can't have negative steps, The -13 in absolute value would be 13.
The -(-13) is the same thing as saying -1 ( -13 ). Since negative times a negative is a positive, 13=13 is a true statement.
Write the Standard Form of the line with x-intercept of 3 and y-intercept of 4.
Answers
Answer:
Use a model to find the sum of two fractions with the same denominator
Add fractions with a common denominator without a model
Add fractions with a common denominator that contain a variable h
Step-by-step explanation:
h
The level of significance, in hypothesis testing, is the probability of _____ null hypothesis. accepting a true rejecting a true rejecting a false accepting a false
Answers
The level of significance, in hypothesis testing, is the probability of rejecting a null hypothesis when it is actually true.
This is why it is important to set a proper level of significance before conducting the hypothesis testing to minimize the risk of making a type I error (incorrectly rejecting a true null hypothesis). This criterion is known as (alpha) and is usually always set to in null hypothesis testing. 0.05, and 0.01 are typical values. The level of significance is typically set at 0.05 or 0.01, meaning that there is a 5% or 1% chance of rejecting the null hypothesis when it is actually true.
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The level of significance, in hypothesis testing, is the probability of rejecting null hypothesis. accepting a true rejecting a true rejecting a false accepting a false
In hypothesis testing, the level of significance (often denoted as α) is a predetermined threshold used to make a decision about the null hypothesis. It represents the maximum probability of making a Type I error, which is rejecting a true null hypothesis.
The null hypothesis (H0) is a statement or assumption that suggests there is no significant difference or relationship between variables in a population. The alternative hypothesis (Ha) is the statement that contradicts or opposes the null hypothesis, suggesting that there is a significant difference or relationship.
To perform a hypothesis test, we collect sample data and calculate a test statistic. Then, we compare the test statistic to a critical value determined by the level of significance.
If the test statistic falls in the rejection region (beyond the critical value), we reject the null hypothesis. If the test statistic falls within the acceptance region (below the critical value), we fail to reject the null hypothesis.
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paul got 72 marks in a maths test. 72 marks is 60% of the total number of marks. work out the total number of marks in the test
Answers
Answer:
115.2 total marks.
Step-by-step explanation:
If 72 is only 60% of the total marks, then to find the total number of marks we will need to multiply 72 by 60% to find the remaining marks, then add that back to 72.
72 × 0.6 = 43.2 remaining marks.
72 + 43.2 = 115.2 total marks.
The total number of marks in the test is 115.2 total marks.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that paul got 72 marks in a maths test. 72 marks is 60% of the total number of marks.
When 72 is only 60% of the total marks, then to find the total number of marks.
We will need to multiply 72 by 60% to find the remaining marks, then add that back to 72.
Then, 72 × 0.6 = 43.2 remaining marks.
72 + 43.2 = 115.2 total marks.
Hence, The total number of marks in the test is 115.2 total marks.
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how many roots does y=x^2-2x+1 have
Answers
SOLUTION
y = x^2 - 2x + 1 is a Quadratic equation. And a quadratic equation has two roots.
The arenas pay for two cars every month they pay $250 for Miss Herrera's car and 375 for Mr. editor struck what kind of expense is a car payment made each month
Answers
You are investing $6500 in an account that compound semi annually at a rate of 8.2%. How long will it take to make $13,000?(round your answers to the nearest whole number)
Answers
Answer:
~13 years
Step-by-step explanation:
18500 = 6500(1 + [0.082/2])^(2t)
2.84 = (1.041)^2t
t ≈ 12.988 ≈ 13
find the lenght of a rectangle where the length is 5 units more than the width. the premiter is 9 times the width
Answers
Answer:
45
Step-by-step explanation:
$Ub to Bobby Vlonswieger on Help me
Answers
Answer: OK?
Step-by-step explanation:
13 points !!!!!! length and width of a traingle!
Answers
Answer:
just look it up or multiply 35 by 55 then divide it by 2 lol
Answer:
To find the area of a triangle, we multiply the length times the width and divide it by two. We often refer to the 'length' and 'width' by the terms 'base' and 'height' when talking about triangles. So, in this case, we would multiply 35 by 55, then divide it by 2. :)
Step-by-step explanation:
A right triangle has one angle equal to 7 degree. Find the measures of the other angles.
Answers
Out of the remaining two angles, one measures 90° and other measures 83°.
The sum of all the angles of triangle is 180°. Right triangle indicates presence of 90° angle in the triangle. Assuming the remaining angle in right triangle be x. Forming the equation now -
x + 7 + 90 = 180
Performing addition on Left Hand Side of the equation to find the value of x
x + 97 = 180
x = 180 - 97
Performing subtraction on Right Hand Side of the equation to find the value of x
x = 83
Thus, the measure of other angles is 83° and 90°.
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the perimeter of the given equilateral triangle is 42 cm find s if it's side length is (3s+2) cm
Answers
Answer:
14cm
Step-by-step explanation:
Given parameters:
perimeter of the triangle = 42cm
length of side = (3s + 2)cm
Unknown:
Find the length of each side = ?
Solution:
The perimeter of a body is the sum of all its sides.
In this problem, we have been given an equilateral triangle. For such a triangle, all the sides are equal. So the perimeter is the sum of all the three sides;
(3s + 2) + (3s + 2) + (3s + 2) = 42
9s + 6 = 42
9s = 42 - 6
9s = 36
s = 4;
The length of its sides = 3s + 2
= 3(4) + 2
= 12 + 2
= 14cm
If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is?
Answers
If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.
What is probability?
Probability can be regarded as a measure of the likelihood of an event that can take place.
It should be noted that Many events cannot be predicted with total certainty, hence , If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.
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Debra's rectangular vegetable garden measures 9(1)/(3) yards by 12 yards. A bottle of garden fertilizer costs $14.79. If Debra needs to mix (1)/(8) cup of fertilizer with water for each square yard of her garden, how many cups of fertilizer does she need?
Answers
Answer:
Debra needs 14 cups of fertilizer.
Step-by-step explanation:
Step 1: Find the area of Debra's rectangular vegetable garden:
Before we can determine how many cups of fertilizer she needs, we'll need to know the area of Debra's garden. This will tell us how many square yards her garden covers. The formula for the area of a rectangle is given by:
A = lw, where
A is the area in square units,l is the length,and w is the width:Thus, we can plug in 9(1)/(3) for l and 12 for w in the rectangle area formula to find A, the area of Debra's garden in square yards:
A = 9(1)/(3) * 12
A = 112
Thus, the area of Debra's garden is 112 square yards.
Step 2: Create a proportion to find x, the number of cups of fertilizers she needs:
We're told that cups of fertilizer with water are proportional to the square yards of Debra's garden. Thus, we can create a proportion to find x, the number of cups of fertilizer she needs:
(1)/(8) cups / 1 square yard = x cups / 112 square yards
1/8 = x/112
14 = x
Thus, Debra needs 14 cups of fertilizer since her garden covers 112 square yards.