Question 8:

Several years ago, most doctors believed that it was not necessary to take any dietary supplement. Now, because many Canadians do not eat a healthy, balanced diet, many physicians recommend a once-a-day multivitamin. A random sample of people was ob tained and asked whether they regularly take a multivitamin. The sample included 490 men and 428 women. Of the men sampled, 37% take a multivitamin, while 50% of the women sampled take a multivitamin.

(a) Is there any evidence that the proportion of women who take a multivitamin is greater than the proportion of men? Conduct the appropriate hypothesis test using = 0.05.

(b) Compute the p-value of the test in part (a).