Assignment 8 Hypothesis Testing with Two Sample: Problem 1
(1 point)
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): $n_1 = 100$, $x_1 = 65$
Fourth-Years (Pop. 2): $n_2 = 88$, $x_2 = 60$
Is there evidence, at an $\alpha = 0.025$ 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 $(-\infty, a)$ is expressed $(-\infty, a)$, an answer of the form $(b,\infty)$ is
expressed $(b, \infty)$, and an answer of the form $(-\infty, a) \cup (b, \infty)$ is expressed $(-\infty, a)\cup(b, \infty)$.
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 $H_1$.
B. Reject $H_0$.
C. Reject $H_1$.
D. Do Not Reject $H_0$
