Question

do college students who are in a fraternity or sorority attend more parties than college students who are not affiliated with a fraternity or sorority? a statistics class randomly selected 50 students who were in a fraternity or sorority and 50 students who were not affiliated with a fraternity or sorority and asked them to report how many parties they had attended in the past month. if μ1 and μ2 represent the number of parties attended by the fraternity and sorority members (μ1) and the unaffiliated students (μ2), respectively, which of the following is the appropriate pair of hypotheses in this case? a. h0: μ1 - μ2 = 0 ha: μ1 - μ2 < 0 b. h0: μ1 = μ2 ha: μ1 < μ2 c. h0: μ1 - μ2 > 0 ha: μ1 - μ2 = 0 d. h0: μ1 = μ2 ha: μ1 > μ2

Explanation:

• The null hypothesis \(H_0\) is a statement of no difference. Here, it should be \(\mu_1=\mu_2\) (or \(\mu_1 - \mu_2=0\)).
• The alternative hypothesis \(H_a\) is what we are trying to find evidence for. The question is whether fraternity/sorority members (\(\mu_1\)) attend more parties than non - affiliated students (\(\mu_2\)), so \(H_a:\mu_1>\mu_2\) (or \(\mu_1-\mu_2 > 0\)).

Answer:

D. \(H_0:\mu_1=\mu_2\), \(H_a:\mu_1 > \mu_2\)