In: Statistics and Probability
Do you have food cravings? According to the New York Times, one of the largest studies of food cravings involved a survey of 1000 McMaster University students. The survey revealed that 97 % of the women in the study acknowledged specific food cravings while only 67 % of the men did. Assume that 600 of the respondents were women and 400 were men.
(a) Is there sufficient evidence to claim that the true proportion of women who acknowledge having food cravings exceeds the corresponding proportion of men? Test using α = .01.
(b) Why is it dangerous to conclude from the study that women have a higher incidence of food cravings than men?