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A random sample of 8 faculty and 33 students were asked whether they would pay an additional fee for preferred parking on campus. Of the

A random sample of 8 faculty and 33 students were asked whether they would pay an additional fee for "preferred parking" on campus. Of the faculty, 3 said yes while 20 of the students said yes. Do we have significant evidence to suggest there is a difference in the proportions of students willing to pay an extra fee for preferred parking versus the faculty? Test at the ? = 0.10 level of significance.Perform hypothesis testing, a. H0: H1: Test statistic: p-value: Reject Null or DO NOT Reject Null State Conclusion:

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Pai proportion where Sample 2 = Event Difference: Pi . Pz Descriptive Statistics Sample N Event Sample p Sample 1 8 3 0.375000 Sample 2 33 20 0.606061 Estimation for Difference 95% Cl for Difference Difference 0.231061 (-0.605674, 0.143553) CI based on normal approximation Test Null hypothesis He Pi . P: = 0 Alternative hypothesis Hi: P, - P: = 0 Method Z-Value P. Value Normal approximation -1.18 0.237 Fisher's exact 0.267 The test based on the normal approximation uses the pooled estimate of the proportion TO.560976). The normal approximation may be inaccurate for small samples

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