Question

analyses were run. the following is the (edited) output for the test:
hypothesis test results:
μ₁: parties attended by fraternity and sorority members
μ₂: parties attended by unaffiliated students
which of the following is an appropriate conclusion based on the output?
a. the data do not provide sufficient evidence to reject the h₀; thus, we can conclude that the mean number of parties attended by fraternity and sorority members is higher than those attended by unaffiliated students.
b. the data do not provide sufficient evidence to reject h₀; thus, we cannot conclude that the mean number of parties attended by fraternity and sorority members is higher than those attended by unaffiliated students.
c. the data provide sufficient evidence to reject the h₀; thus, we cannot conclude that the mean number of parties attended by fraternity and sorority members is higher than those attended by unaffiliated students.
d. the data provide sufficient evidence to reject h₀; thus, we can conclude that the mean number of parties attended by fraternity and sorority members is higher than those attended by unaffiliated students.

Explanation:

In hypothesis testing, if the p - value is less than the significance level (commonly 0.05), we reject the null hypothesis \(H_0\). Here, the p - value is \(0.0003<0.05\). So we reject \(H_0\). The sample mean difference \(\mu_1-\mu_2 = 2.65>0\), which implies that the mean number of parties attended by fraternity and sorority members (\(\mu_1\)) is higher than that of unaffiliated students (\(\mu_2\)).

Answer:

D. The data provide sufficient evidence to reject \(H_0\); thus, we can conclude that the mean number of parties attended by fraternity and sorority members is higher than those attended by unaffiliated students.