Question

Two random samples are taken, one from among first-year students and the other from among fourth-year students at a public university. Both samples are asked if they favor modifying the student Honor Code. A summary of the sample sizes and number of each group answering yes'' are given below: First-Years (Pop. 1):Fourth-Years (Pop. 2):n1=95,n2=93,x1=48x2=58 Is there evidence, at an α=0.05 level of significance, to conclude that there is a difference in proportions between first-years and fourth-years? Carry out an appropriate hypothesis test, filling in the information requested. A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a) is expressed (-infty, a), an answer of the form (b,∞) is expressed (b, infty), and an answer of the form (−∞,a)∪(b,∞) is expressed (-infty, a)U(b, infty). B. The rejection region for the standardized test statistic: C. The p-value is D. Your decision for the hypothesis test: A. Do Not Reject H1. B. Reject H0. C. Reject H1. D. Do Not Reject H0.

Answer 1

The statistical software output for this problem is:

Hence,

A) Test statistic = -1.6366

B) Rejection region:

(-infty, -1.96) U (1.96, infty)

C) Do not reject Ho