"No Sweat" garment labels

Following complaints about the working conditions in some apparel factories both in the United States and abroad, a joint government and industry commission recommended in 1998 that companies that monitor and enforce proper standards be allowed to display a "No Sweat" label on their products. Does the presence of these labels in?uence consumer behavior? A survey of U.S. residents aged 18 or older asked a series of questions about how likely they would be to purchase a garment under various conditions. For some conditions, it was stated that the garment had a "No Sweat" label; for others, there was no mention of such a label. On the basis of the responses, each person was classi?ed as a "label user" or a "label nonuser."30 There were 296 women surveyed. Of these, 63 were label users. On the other hand, 27 of 251 men were classi?ed as users.

(a) Give a 95% con?dence interval for the difference in the proportions.

(b) You would like to compare the women with the men. Set up appropriate hypotheses, and ?nd the test statistic and the P-value. What do you conclude?