39 people out of a random sample of n, 58 adult Americans who did inot attend college Beeve H E med on information from a previous study, raterrestrials. Does this Indicate that the proportson of people who attended college and who belleve in extraterrestrials is higher than the propertion who did not attend college? Use a = 0.01. (a) what is the level of sgnihcance? State the null and alternate hypotheses. OH P

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Based on Information from a previous study, r, = 39 people out of a random sample of n, 98 adult Americans who did not attend college belleve in extraterrestrials. However, out of a random sample of n, = 98 adult Americans who did attend college, r, = 46 clatm that they believe in
extraterrestrials. Does this Indicate that the proportion of people who attended college and who beleve in extraterrestrials is higher than the proportion who did not attend college? Use a = 0.01.
(a) what is the level of ugnificance?
state the null and alternate hypotheses.
O H, P, = Pzi H P, <P2
O H, P. < Pai H: P- P2
O H, P1 = Pai H P Pa
O H P, = Pi H: P, > P2
(b) what sampling distribution will you use? what assumptions are you making?
O The standard normal. The number of trials is sufficiently large.
O The Student's t. We assume the population distributions are approximately normal.
O The Student's t. The number of trials is sufficiently large.
O The standard normal. We assume the population distributions are approxlmately normal.
What is the value of the sample test statistic? (Test the difference p, - P. 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.)
Sketch the sampling distribution and show the area corresponding to the P-value.
US O 9 O 6:06
hp
Transcribed Image Text:Based on Information from a previous study, r, = 39 people out of a random sample of n, 98 adult Americans who did not attend college belleve in extraterrestrials. However, out of a random sample of n, = 98 adult Americans who did attend college, r, = 46 clatm that they believe in extraterrestrials. Does this Indicate that the proportion of people who attended college and who beleve in extraterrestrials is higher than the proportion who did not attend college? Use a = 0.01. (a) what is the level of ugnificance? state the null and alternate hypotheses. O H, P, = Pzi H P, <P2 O H, P. < Pai H: P- P2 O H, P1 = Pai H P Pa O H P, = Pi H: P, > P2 (b) what sampling distribution will you use? what assumptions are you making? O The standard normal. The number of trials is sufficiently large. O The Student's t. We assume the population distributions are approximately normal. O The Student's t. The number of trials is sufficiently large. O The standard normal. We assume the population distributions are approxlmately normal. What is the value of the sample test statistic? (Test the difference p, - P. 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.) Sketch the sampling distribution and show the area corresponding to the P-value. US O 9 O 6:06 hp
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