A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study, 362 babies were born, and 211 of them were girls. Use the sample data with the 0.01 significance level to test the claim that with this method, the probability of having a baby being a girl is greater than 0.5. Use this information to answer the following questions.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study, 362 babies were born, and 211 of them were girls. Use the sample data with the 0.01 significance level to test the claim that with this method, the probability of having a baby being a girl is greater than 0.5. Use this information to answer the following questions.

a. Which of the following is the hypothesis test to be conducted?
O A. Ho p=0.5
H, p<0.5
O B. Ho p>0.5
H: p=0.5
O C. Ho: p=0.5
H1: p 0.5
O E. Ho p= 0.5
H: p> 0.5
O D. Ho p 0.5
H, p=0.5
O F. Ho p<05
H p=0.5
b. What is the P-value?
P-value =
(Round to four decimal places as needed.)
c. What is the conclusion?
O A. There is not sufficient evidence to support the claim, so the proportion of girls is not significantly different from 0.5.
O B. There is sufficient evidence to support the claim, so the proportion of girls is significantly different from 0.5,
d. Does the method appear to be effective?
O A. The study is not able to show that the method is effective in increasing the probability of a baby being a girl.
B. The study is able to show that the method is effective in increasing the probability of a baby being a girl.
Transcribed Image Text:a. Which of the following is the hypothesis test to be conducted? O A. Ho p=0.5 H, p<0.5 O B. Ho p>0.5 H: p=0.5 O C. Ho: p=0.5 H1: p 0.5 O E. Ho p= 0.5 H: p> 0.5 O D. Ho p 0.5 H, p=0.5 O F. Ho p<05 H p=0.5 b. What is the P-value? P-value = (Round to four decimal places as needed.) c. What is the conclusion? O A. There is not sufficient evidence to support the claim, so the proportion of girls is not significantly different from 0.5. O B. There is sufficient evidence to support the claim, so the proportion of girls is significantly different from 0.5, d. Does the method appear to be effective? O A. The study is not able to show that the method is effective in increasing the probability of a baby being a girl. B. The study is able to show that the method is effective in increasing the probability of a baby being a girl.
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