Chapter 10.3, Problem 11P

Extraterrestrials: Believe It? Based on information from Harper's Index, $r_1=37$ out of a random sample of ft. $n_1=100$ adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of $n_2=100$ adult Americans who did attend college, $r_2=47$ claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use $\alpha =\mathrm{0.01.}$