A clinical trial was conducted using a new method designed to increase the probability of conceiving a girl. As of this​ writing, 963 babies were born to parents using the new​ method, and 873 of them were girls. Use a 0. 01 significance level to test the claim that the new method is effective in increasing the likelihood that a baby will be a girl. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ P-value method and the normal distribution as an approximation to the binomial distribution. Statcrunch

Answers

Answer 1

The P-value for this test is the probability of observing a z-score as extreme or more extreme than 22.75, assuming the null hypothesis is true.

To conduct this hypothesis test, we can use the normal distribution as an approximation to the binomial distribution. Since the sample size is large (963 babies), we can assume that the sampling distribution of the sample proportion of girls is approximately normal. The sample proportion of girls is 873/963=0.906, which is the point estimate of the population proportion of girls born to parents using the new method.

To calculate the test statistic, we need to determine the standard error of the sample proportion.

Where p is the hypothesized population proportion (0.5 for boys and 0.5 for girls), and n is the sample size (963).

Using this formula, we get SEp=√[(0. 5x (1-0.5))/963]=0.016.

The z-score can be calculated as:

z=(p-p)/SEp

where p is the sample proportion and p is the hypothesized population proportion (0.5).

Using the values from the sample, we get z=(0.906-0.5)/0.016=22.75.

This can be calculated using a standard normal distribution table or a statistical software such as Statcrunch. The P-value turns out to be very small, much less than the chosen significance level of 0.01.

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Related Questions

a music CD costs $18. What is the total cost of the CD if there is a 6.25%sales tax?

Answers

Answer:

$19.13

Step-by-step explanation:

18 + 6.25 is 19.125 and you would round that to 19.13 as your total

If A = 5 and B = 3, what will be displayed when code corresponding to the following pseudocode is run? (In the answer options, new lines are separated by commas.)
Do
Write A^2
Set A = A - 1
While A >= B

Answers

The output when the given pseudocode is executed with A = 5 and B = 3 will be "25, 16, 9, 4, 1".

The given pseudocode includes a loop that iterates as long as A is greater than or equal to B. In each iteration, the square of A is displayed, and A is decremented by 1. We are asked to determine the output when A is initially 5 and B is 3.

Step 1: Initialization

A is set to 5 and B is set to 3.

Step 2: Iteration 1

Since A (5) is greater than or equal to B (3), the loop executes.

The square of A (5²) is displayed, resulting in the output "25".

A is decremented by 1, so A becomes 4.

Step 3: Iteration 2

A (4) is still greater than or equal to B (3).

The square of A (4²) is displayed, resulting in the output "16".

A is decremented by 1, so A becomes 3.

Step 4: Iteration 3

A (3) is still greater than or equal to B (3).

The square of A (3²) is displayed, resulting in the output "9".

A is decremented by 1, so A becomes 2.

Step 5: Iteration 4

A (2) is still greater than or equal to B (3).

The square of A (2²) is displayed, resulting in the output "4".

A is decremented by 1, so A becomes 1.

Step 6: Iteration 5

A (1) is still greater than or equal to B (3).

The square of A (1²) is displayed, resulting in the output "1".

A is decremented by 1, so A becomes 0.

Step 7: Loop termination

Since A (0) is no longer greater than or equal to B (3), the loop terminates.

Therefore, The output generated by the code execution will be "25, 16, 9, 4, 1" as the squares of A (starting from 5 and decreasing by 1) are displayed in each iteration of the loop.

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Write an equation
in SIF from the table.
X
3
-4
2
6
9
8

Answers

Answer:

the question is only this much or there are the another question too

when changing a percent to a fraction, what will the denominator be for 37.5% once the decimal point has been removed and before you simplify the fraction?

Answers

The percentage of 37.5% when converted to fraction, the denominator will be 1000.

The percentage is 37.5% , to convert it to fraction we have to divide the number that is in percentage by 100.

Hence, 37.5% = 37.5 / 100

Again When we remove the decimal we get that we will divide the number again by 10.

Hence the number becomes 375 / 1000.

Therefore we have to divide it by 1000 .

By employing an unlimited series of digits following the decimal separator, the decimal system has been expanded to represent any real number in an infinite number of decimals (see decimal representation).

The decimal numerals in this context are frequently referred to as terminating decimals since they have a limited amount of non-zero digits after the decimal separator. A repeating decimal is an infinite decimal that, after a certain point, repeats the same set of digits indefinitely.

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. Makayla walks for exercise. She wants to walk a total of 6 miles. On Monday, she walked 2 ⅚ miles. On Tuesday, she walked 1 ⅓ miles. How many more miles does Makayla need to walk to reach her goal?

Answers

Answer:

1 ⅚ miles.

Step-by-step explanation:

Makayla wants to walk 6 miles. Since she has walked 4 1/6 miles (2 5/6 miles + 1 1/3 miles), you subtract this from 6 and you will get your answer.

Can someone help me on this algebra question

Can someone help me on this algebra question

Answers

Answer:

It is the last one

Step-by-step explanation:

Jessicawants to buy a ring for her friend Sarah. She knows Sarah's finger has a diameter of 15mm. The jewelry store sizes their rings by radius. What size ring shouldJessica purchase?​

Answers

14.5 would be the radius

Answer:

14.5

Step-by-step explanation:

.................................

4\(4x^{2} -24x+40\\\) in form of \(a(x-b)^{2}\)

Answers

The a(x-b)^2 form of 4x^2-24x+40 is 4[(x-3)^2 + 1].

We are given that;

The equation 4x^2-24x+40.

Form=  a(x-b)^2.

Now,

4x^2-24x+40 can be written in the form of a(x-b)^2 as follows:

4x^2-24x+40 = 4(x^2-6x+10) = 4[(x-3)^2 + 1]

Therefore, by the given equation the answer will be 4[(x-3)^2 + 1].

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Please help.
Algebra.

Please help.Algebra.

Answers

Answer:

(6, -3)

Step-by-step explanation:

sorry, i don't know what you have to write in the blanks.

7. Identify a transformation of the function f(x) = x by observing the equation of the function g(x) = m x, with m > 1.

Answers

The transformation from f(x) to g(x) is a vertical stretch by a factor of m

How to determine the transformation?

The functions are given as:

f(x) = x

g(x) = mx

Substitute f(x) = x in g(x) = mx

g(x) = mf(x)

From the question, we understand that:

m > 1

This means that;

The transformation from f(x) to g(x) is a vertical stretch by a factor of m

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4(x + 5) = 3(x - 2) – 2(x + 2)

Answers

Answer: x= -10

Step-by-step explanation:

Distribute

Subtract the numbers

Combine like terms

Multiply by 1

4 open paren x plus 5 close paren equals 3 open paren x minus 2 close paren minus 2 open paren x plus 2 close paren

4 x plus 20 equals x minus 10

2

Subtract

20

from both sides

3

Simplify the expression

.In a multiple regression model, the variance of the error term `eâ is assumed to be the same for all values of the dependent variable.
A)the same for all values of the independent variable
B)zero.
C)the same for all values of the independent variable.
D)one.

Answers

In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.

In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.

The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.

The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.

This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).

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Classify the numbers as rational or irrational.
6
√2.6
√2+6

Classify the numbers as rational or irrational.62.62+6

Answers

Step-by-step explanation:

\( \sqrt 2, \: \sqrt 2. 6 \: \& \: \sqrt 2 + 6\) are irrational and 6 is the only rational number.

I need help with this

I need help with this

Answers

Answer:

? = 4 units

Step-by-step explanation:

'2'  is to  ' 7+2 '     as  ?   is to   '14 + ? '

2/ 9 = ? / (14 + ?)      cross mutiply

28 + 2? = 9?

28 = 7?

? = 4

A water pail in your backyard has a small hole in it. You notice that it has drained a total of 2.5 liters in 4 days. What is the average change in water volume each day?



The average change in water volume is (answer here)iter(s) per day.

Answers

The average change in the volume of water per day is obtained as 0.625  litres.

What is the rate change of volume?

The rate change of volume is the change of volume with respect to time.

For instantaneous change the derivative of the expression of volume can be taken.

The average change in the volume of water can be obtained as follows,

Average change = Volume of water ÷ Number of days

                            = 2.5 ÷ 4 = 0.625

Hence, the average change in water volume is given as  0.625 liters per day.

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this is worth 40 points so pls help! I need this ASAP.

I also need COMPLETE solution

this is worth 40 points so pls help! I need this ASAP.I also need COMPLETE solution
this is worth 40 points so pls help! I need this ASAP.I also need COMPLETE solution

Answers

Answer:

Shown below.

Step-by-step explanation:

Test Marks          Tally          Frequency          Percentage

1                                                    8                   8/60 = 0.133

2                                                   6                   6/60 = 0.100

3                                                   5                   5/60 = 0.083

4                                                   5                   5/60 = 0.083

5                                                   5                   5/60 = 0.083

6                                                   8                   8/60 = 0.133

7                                                   6                   6/60 = 0.100

8                                                   7                   7/60 = 0.116

9                                                   4                   4/60 = 0.066

10                                                 5                   5/60 = 0.083

Total                                            59                 59/60 = 0.983

For the Tally section, I believe you just fill in tally marks corresponding to the frequency. One of the observations in the table is 0, which is not a column in the frequency table.

I don't know factor out, please slove this questuon.​

I don't know factor out, please slove this questuon.

Answers

Answer:

\(\displaystyle \frac{1}{10}(x+9)\)

Step-by-step explanation:

\(\displaystyle \frac{1}{10}x+\frac{9}{10}=\frac{1}{10}(x+9)\) because \(\displaystyle \frac{1}{10}(x+9)=\frac{1}{10}(x)+\frac{1}{10}(9)\) by the Distributive Property

Brian has reduced his cholesterol level by 6% by following a strict diet and regular exercise. If his original level was 280, what is his approximate cholesterol level now?A. 297B. 17C. 278D. 263

Answers

SOLUTION:

Step 1:

In this question, we are given the following:

Brian has reduced his cholesterol level by 6% by following a strict diet and regular exercise.

This means that the remaining level will be ( 100 - 6 ) % = 94%

Step 2:

If his original level was 280,

Then, the approximate cholesterol level now will be:

\(\begin{gathered} 94\text{ \% of 280} \\ =\frac{94}{100}\text{ X 280} \\ =\text{ }\frac{26,320}{100} \\ =\text{ 263.2} \\ \approx\text{ 263 } \end{gathered}\)

CONCLUSION:

The final answer is:

\(263\text{ -- OPTION D}\)

_____ suggests that the threat of a loss has a greater impact on a decision than the possibility of an equivalent gain.
a. The Carnegie model
b. Prospect theory
c. The bounded rationality perspective
d. McGregor's Theory X

Answers

The term that suggests that the threat of loss has a greater impact on a decision than the possibility of an equivalent gain is prospect theory.

Prospect theory is a theory that describes how individuals make decisions under uncertainty. The theory suggests that people think about gains and losses differently and that the value they assign to a particular change in their situation depends on their current situation. The theory is based on the observation that people often violate the principle of expected utility. They make decisions that do not maximize their expected utility. The theory suggests that people evaluate outcomes based on changes from a reference point, rather than in absolute terms. This means that people are more sensitive to changes in their situation than to the situation itself.

For example, a loss of $100 is more painful than the pleasure of gaining $100, and the pleasure of gaining $100 is less than the pain of losing $100.

In summary, Prospect theory suggests that the threat of a loss has a greater impact on a decision than the possibility of an equivalent gain.

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Simplifying Polynomial Expressions

17p + 8p^3 - 4 - 5(p^3 -2)

Answers

Answer:

=3p 3+17p+6

Step-by-step explanation:

area of ATA. is 36 cm?. A second triangle, JOE, is formed by connecting the midpoints of each side Of ALAD. What is the area of JOE, in square centimeters?

Answers

The  need more information, such as the lengths of the sides of triangle ALAD or any other pertinent measurements, to calculate the area of triangle JOE, which is produced by joining the midpoints of each side of triangle ALAD.

Without this knowledge, we are unable to determine the area of triangle JOE.It is important to note that the area of triangle JOE would be one-fourth of the area of triangle ALAD if triangle JOE were to be constructed by joining the midpoints of its sides. The Midpoint Triangle Theorem refers to this. Triangle JOE's area would be 1/4 * 36 cm2, or 9 cm2, if the area of triangle ALAD is 36 cm2.

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Jude has a deck of playing cards. He is asked to remove one card at random, then a second card. What could Jude do between the events to ensure they are dependent?

Answers

Answer:

He could put the first card he removed into his pocket

Step-by-step explanation:

With regards to the above, he could put the first card he removed into his pocket so that the amount of card he has to draw the second time will be affected hence make it dependent.

Take for instance, there are 52 cards in total, if he picks the first card and did not replace it, then the probability of taking second card will be 50/51 since the total cards left in the deck is now 51.

Keeping the card out of the deck can be done to ensure that the events are dependent.

What is Probability ?

Probability is a measure of the likeliness of an event to occur and it is measured between 0 to 1 , where 0 represents unlikeliness of the event and 1 represents certainty.

It is given in the question that he would have to keep the first card out of the deck before removing the second card.

Two events are dependent if the probability of one event changes based on the result of the other.

To be clear, an action on its own (like drawing a card) is not an event. An event is a possible outcome (or set of outcomes) we could observe.

Since we assume all 52 cards have an equal chance of being drawn on the first pick (that being 152), the only way to change this probability for the second pick is to keep the first card out of the deck.

This reduces the size of the deck to 51, meaning each remaining card has a 51 chance of being picked—except for the card he drew first, which now has a 0% chance of being drawn again.

Therefore keeping the card out of the deck can be done to ensure that the events are dependent.

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Express 160° in radian measure

Answers

2.793 radians i think

Find the area:

please help me​

Find the area:please help me

Answers

Answer: 152 in^2

Step-by-step explanation:

We can split the figure into two rectangles. One of dimension 6 in by 20 in, and one of dimension 8 in by 4 in.

Therefore, the area of the figure = (6*20) + (8*4) = 120 + 32 = 152 in^2


can you guys help me with this equation plzzzzzz​

can you guys help me with this equation plzzzzzz

Answers

Answer:

b = 1/3

Step-by-step explanation:

Here, we want to solve for the value of b

From the question, we have that;

4^(3b-3) = 1/16

4^(3b-3) = 16^-1

4^(3b-3) = 4^2(-1)

4^(3b-3) = 4^-2

Since base are equal, equate the powers

3b - 3 = -2

3b = -2 + 3

3b = 1

b = 1/3

if 6 student make up 25% of the class, how many students are there total in the class​

Answers

Answer: 24

Step-by-step explanation: 6 x 4=24

Answer:

24 aajejejrjjrjrjrjrjrjrjrkrkrkrkrkrkrkrkrjrjkr

Solve the system by substitution. Show all of your work.
3x – 2y = -2
3x + y = 10

Answers

Answer:

x = 2 ; y= 4

Step-by-step explanation:

3x -2y = -2

y = -3x+10

3x + 6x -20 = -2

9x = 18

x = 2

y = -6 + 10

y = 4

Answer:

x = 2

y = 4

Steps:

given:

3x – 2y = -2

3x + y = 10

2y = 3x+2

y = (3x+2)/2

3x + y = 10

3x + (3x+2)/2 = 10

(6x+3x+2)/2 = 10

(9x + 2)/2 = 10

9x + 2 = 20

9x = 18

x = 2

y = 4

35,56,34,44,52,12,34,45
Mean-
Median-
Mode-
Range-

Answers

Answer:

Mean: 39

Median: 39.5

Mode: 34

Range: 44

Step-by-step explanation:

What is the volume of the prism, in cubic centimeters?

What is the volume of the prism, in cubic centimeters?

Answers

Answer:

the volume of the prism is 168 cubic centimeters.

Step-by-step explanation:

The volume of the prism is ;120 cubic centimeters.

What is rectangular prism ?

Connect three rectangles edge to edge. To close their triangular mouths from both ends. That shape is called a triangular prism.

A rectangular prism has six faces (each one of these faces are rectangle), 8 vertices, and 12 edges.

Noted that this rectangular prism has 5 layers and the volume of one of these layers is 18 cubic centimeters ().

Considering that all these layers are equal, the volume of this prism can be calculated with:

Volume = Base area x length

= 1/2 x 6 x 4 x 10

= 240/2

= 120

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Determine the domain on which the following function is increasing

Determine the domain on which the following function is increasing

Answers

The domain on which the graph described as in the image is increasing is to be determined; (-4, ∞).

What is the domain for which the function is increasing?

It follows from the task content that the domain for which the function described by the graph is increasing is to be determined.

Since the graph is a quadratic function which opens upward and whose minimum point is at; x = -4.

Also, since a graph of a function, f(x) is increasing when f'(x) > 0.

Therefore, by observation the graph is increasing on the domain defined by; (-4, ∞).

Put simply, the function is increasing in the Domain; x > -4.

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