Question

A clinical trial was conducted using a new method designed to increase the probability of conceiving a boy. As of this​ writing, 297 babies were born to parents using the new​ method, and 241 of them were boys. 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 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.

Answer 1

The null hypothesis: p=0.5

alternative hypothesis:p>0.5

The hypothesis test is done by using the minitab.

stat-basic statistic-one proportion.

select summarised data, enter 241 in number of events and 297 in number of trials. enter 0.5 hypothesis proportion.

confidence interval as 99 and alternative as greater than, and normal approximation.

The output is as given below:

The test statistic is 10.73 and p value is 0.000.

p is less than 0.01. so, reject the null hypothesis.

The new method is effective in increasing the likelihood that a baby will be a boy.