(1 point) test the claim that the population of (1 point) random samples of resting heart rates are taken from two groups. population 1 exercises regularly, and population 2 does not. the data from these two samples is given below: population 1: 70, 68, 71, 65, 68, 71, 63 population 2: 79, 69, 73, 79, 71, 70, 73, 72 is there evidence, at an α = 0.025 level of significance, to conclude that those who exercise regularly have lower resting heart rates? (assume that the population variances are equal.) carry out an appropriate hypothesis test, filling in the information requested.

a. the value of the 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)u(b, infty)".

b. the rejection region for the test statistic:

c. your decision for the hypothesis test:
a. reject h_0.
b. do not reject h_0.
c. reject h_a.
d. do not reject h_a.