Question

A clinical trial was conducted using a new method designed to increase the probability of conceiving a boy. As of this​ writing, 304 babies were born to parents using the new​ method, and 245 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.

What is the test​ statistic? ​(Round to two decimal places as​ needed.)

What is the​ P-value? ​(Round to four decimal places as​ needed.)

What is the conclusion on the null​ hypothesis?

A. Fail to reject the null hypothesis because the​ P-value is greater than the significance​ level, alphaα.

B. Fail to reject the null hypothesis because the​ P-value is less than or equal to the significance​ level,

alphaα.

C. Reject the null hypothesis because the​ P-value is greater than the significance​ level, alphaα.

D. Reject the null hypothesis because the​ P-value is less than or equal to

the significance​ level, alphaα.

What is the final​ conclusion?

Answer 1