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): n1=83, x1=47

Fourth-Years (Pop. 2): n2=83, x2=40

Is there evidence, at an=0.030 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=