A clinical trial was conducted using a new method designed to increase the probability of conceiving a boy. As of this​ writing, 286 babies were born to parents using the new​ method, and 238 of them were boys. Use a 0.05 significance level to test the claim that the new method is effective in increasing the likelihood that a baby will be a boy. 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. Question content area bottom Part 1 Which of the following is the hypothesis test to be​ conducted? A. H0: p<0.5 H1: p=0.5 B. H0: p>0.5 H1: p=0.5 C. H0: p≠0.5 H1: p=0.5 D. H0: p=0.5 H1: p≠0.5 E. H0: p=0.5 H1: p>0.5 F. H0: p=0.5 H1: p<0.5 Part 2 What is the test​ statistic? z=enter your response here ​(Round to two decimal places as​ needed.) Part 3 What is the​ P-value? ​P-value=enter your response here ​(Round to four decimal places as​ needed.) Part 4 What is the conclusion on the null​ hypothesis? A. Reject the null hypothesis because the​ P-value is greater than the significance​ level, α. B. Fail to reject the null hypothesis because the​ P-value is greater than the significance​ level, α. C. Reject the null hypothesis because the​ P-value is less than or equal to the significance​ level, α. D. Fail to reject the null hypothesis because the​ P-value is less than or equal to the significance​ level, α. Part 5 What is the final​ conclusion?  A. There is not sufficient evidence to warrant rejection of the claim that the new method is effective in increasing the likelihood that a baby will be a boy. B. There is sufficient evidence to support the claim that the new method is effective in increasing the likelihood that a baby will be a boy. C. There is sufficient evidence to warrant rejection of the claim that the new method is effective in increasing the likelihood that a baby will be a boy. D. There is not sufficient evidence to support the claim that the new method is effective in increasing the likelihood that a baby will be a boy.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A clinical trial was conducted using a new method designed to increase the probability of conceiving a boy. As of this​ writing, 286 babies were born to parents using the new​ method, and 238 of them were boys. Use a 0.05 significance level to test the claim that the new method is effective in increasing the likelihood that a baby will be a boy. 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.
Question content area bottom
Part 1
Which of the following is the hypothesis test to be​ conducted?
A.
H0: p<0.5
H1: p=0.5
B.
H0: p>0.5
H1: p=0.5
C.
H0: p≠0.5
H1: p=0.5
D.
H0: p=0.5
H1: p≠0.5
E.
H0: p=0.5
H1: p>0.5
F.
H0: p=0.5
H1: p<0.5
Part 2
What is the test​ statistic?
z=enter your response here
​(Round to two decimal places as​ needed.)
Part 3
What is the​ P-value?
​P-value=enter your response here
​(Round to four decimal places as​ needed.)
Part 4
What is the conclusion on the null​ hypothesis?
A.
Reject the null hypothesis because the​ P-value is greater than the significance​ level, α.
B.
Fail to reject the null hypothesis because the​ P-value is greater than the significance​ level, α.
C.
Reject the null hypothesis because the​ P-value is less than or equal to the significance​ level, α.
D.
Fail to reject the null hypothesis because the​ P-value is less than or equal to the significance​ level, α.
Part 5
What is the final​ conclusion? 
A.
There is not sufficient evidence to warrant rejection of the claim that the new method is effective in increasing the likelihood that a baby will be a boy.
B.
There is sufficient evidence to support the claim that the new method is effective in increasing the likelihood that a baby will be a boy.
C.
There is sufficient evidence to warrant rejection of the claim that the new method is effective in increasing the likelihood that a baby will be a boy.
D.
There is not sufficient evidence to support the claim that the new method is effective in increasing the likelihood that a baby will be a boy.  

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