Based on information from a previous study, r 1 = 37 people out of a random sample of n 1 = 97 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample...

Based on information from a previous study,
r
₁
= 37 people out of a random sample of
n
₁
= 97 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of
n
₂
= 97 adult Americans who did attend college,
r
₂
= 46 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 α = 0.01.

What is the value of the sample test statistic? (Test the difference
p
₁
−
p
₂. Do not use rounded values. Round your final answer to two decimal places.)




(c) Find (or estimate) the
P-value. (Round your answer to four decimal places.)