Based on information from a previous study, r 1 38people out of a random sample of n 1 97adult Americans who did not attend college believe in extraterrestrials However, out of a random sample of n 2 97adult Americans who did attend college, r 2 49claim 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 0 01 (a) What is the level of significance State the null and alternate hypotheses H 0 p 1 p 2 H 1 p 1 p 2 H 0 p 1 p 2 H 1 p 1 p 2 H 0 p 1 p 2 H 1 p 1 p 2 H 0 p 1 p 2 H 1 p 1 p 2 (b) What sampling distribution will you use What assumptions are you making The standard normal We assume the population distributions are approximately normal The standard normal The number of trials is sufficiently large The Student's t We assume the population distributions are approximately normal The Student's t The number of trials is sufficiently large 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 )

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Based on information from a previous study, r 1 =38people out of a random sample of n 1 =97adult Americans who did not attend college

Based on information from a previous study,r₁=38people out of a random sample ofn₁=97adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample ofn₂=97adult Americans who did attend college,r₂=49claim 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= 0.01.(a) What is the level of significance? State the null and alternate hypotheses.

H₀:p₁<p₂;H₁:p₁=p₂H₀:p₁=p₂;H₁:p₁>p₂ H₀:p₁=p₂;H₁:p₁<p₂H₀:p₁=p₂;H₁:p₁p₂

(b) What sampling distribution will you use? What assumptions are you making?

The standard normal. We assume the population distributions are approximately normal.The standard normal. The number of trials is sufficiently large. The Student'st. We assume the population distributions are approximately normal.The Student'st. The number of trials is sufficiently large.

What is the value of the sample test statistic? (Test the differencep₁p₂. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) theP-value. (Round your answer to four decimal places.)