A clinical trial was conducted using a new method designed to increase the probability of conceiving a boy. As of this writing, 280 babies were born to parents using the new method, and 232 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, complete parts (a) through (e).
What are the null and alternative hypotheses?
⧠ A. ?0: ? = 0.5 ?1: ? > 0.5
⧠ B. ?0: ? ≠ 0.5 ?1: ? = 0.5
⧠ C. ?0: ? < 0.5="" 1:="" =="">
⧠ D. ?0: ? > 0.5 ?1: ? = 0.5
⧠ E. ?0: ? = 0.5 ?1: ? <>
⧠ F. ?0: ? = 0.5 ?1: ? ≠ 0.5
What is the test statistic? z = ______________________________
What is the P-value? P-value = ____________________________
What is the conclusion about the null hypothesis?
⧠ A. Reject the null hypothesis because the P-value is less than or equal to the significance level, α.
⧠ B. Fail to reject the null hypothesis because the P-value is greater than the significance level, α.
⧠ C. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, α.
⧠ D. Reject the null hypothesis because the P-value is greater than the significance level, α.
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.