Suppose the Acme Drug Company develops a new drug, designed to prevent colds. The company states that the drug is equally effective for men and women. To test this claim, they choose a simple random sample of 100 men and 200 women from the population. At the end of the study, 46% of the men caught a cold; and 51% of the women caught a cold. Based on these findings, can we reject the company's claim that the drug is equally effective for men and women? Use a 0.05 level of significance.
a) give the null and alternative hypotheses
b) the test statistic including the variable(z or t)
c) the P value
d)the decision to reject or fail to reject the null hypothesis and a statement about the claim