Question

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study, 407 babies were born, and 216 of them were girls. Use the sample data with a 0.01 significance level to test the claim that with this method, the probability of 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 OB. Ho: p*0.5 H:p#0.5 H: p=0.5 0 C. Ho: < 0.5 OD. Ho: p=0.5 H: p=0.5 H:p<0.5 O E. Ho:p> 0.5 Ho: p=0.5 Hy: p = 0.5 H:p> 0.5 b. What is the test statistic? ZE (Round to two decimal places as needed.)

Answer 1

1)

Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.5307 - 0.5)/sqrt(0.5*(1-0.5)/407)
z = 1.24

2)

Test statistic,
z = (xbar - mu)/(sigma/sqrt(n))
z = (252.5 - 210)/(53.5/sqrt(50))
z = 5.62

3)

Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.1598 - 0.15)/sqrt(0.15*(1-0.15)/820)
z = 0.79