Problem #2: Er thromycin is a drug that has been proposed to possibly lower the

Question

Problem #2: Er thromycin is a drug that has been proposed to possibly lower the risk of premature delivery. A related area of interest is its association with the incidence of side effects during pregnancy. Assume that 30% of all pregnant women complain of nausea between the 24th and 28th week of pregnancy. Furthermore, suppose that in a sample of women who are taking erythromycn regularly during this period, 63 complain of nausea. Suppose that we use this sample to test the hypothesis that incidence rate of nausea for the erythromycin group is greater than for a typical pregnant woman, and find the p-value to be 0.019. What is the meaning of this p-value? (A) If Erythromycin does increase the incidence of nausea it is very unlikely (probability 0.019) to obtain 63 or more complaints of nausea in the given sample (B) If Erythromycin does increase the incidence of nausea it is very unlikely (probability 0.019) to obtain exactly 63 complaints of nausea in the given sample (C) The p-value of 0.019 is the probability of making a Type II error (D) The p-value of 0.019 is the probability of making a wrong decision. (E) If Erythromycin does not increase the incidence of nausea it is very unlikely (probability 0.019) to obtain 63 or more complaints of nausea in the given sample (F) The p-value of 0.019 is the probability of making a Type I error (G) If Erythromycin does not increase the incidence of nausea it is very unlikely (probability 0.019) to obtain exactly 63 complaints of nausea in the given sample

Explanation / Answer

The p value here means:

(E) If Erythromycin does not increase the incidence of nausea it is very unlikely (probability 0.019) to obtain 63 or more complaints of nausea in the given sample.

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