Wo 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=82,n2=99,x1=56x2=65

is there evidence, at an α=0.03 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 (−[infinity],a) is expressed (-infty, a), an answer of the form (b,[infinity]) is expressed (b, infty), and an answer of the form (−[infinity],a)∪(b,[infinity]) is expressed (-infty, a)u(b, infty).

b. the rejection region for the standardized test statistic:

c. the p-value is