Do you have an insatiable craving for chocolate or some other food? Because many North Americans apparently do, psychologists are designing scientific studies to examine the phenomenon. According to the New York Times (Feb. 22, 1995), one of the largest studies of food cravings involved a survey of 1.000 McMaster University (Canada) students. The survey revealed that 97% of the women in the study acknowledged specific food cravings while only 67% of the men did.
a. How large do n1 and n2 need to be to conclude that the true proportion of women who acknowledged having food cravings exceeds the corresponding proportion of men? Assume α = .01.
b. Why is it dangerous to conclude from the study that women have a higher incidence of food cravings than men?