A state university annual report showed that its retention rate was at 24% and university officials would like to increase this rate. After implementing several new programs during the last two years, the university reevaluated its retention rate. What is the correct alternative hypotheses for a test to determine whether the retention rate has increased during the last two years?

Ho: p = .24

Ha: p>.24

To determine whether the retention rate has increased during the last two years, we can frame the research question as a hypothesis test.

The null hypothesis (H0) would state that there has been no increase in the retention rate over the last two years. The alternative hypothesis (H1) would state that there has been an increase in the retention rate.

In this scenario, the correct alternative hypothesis for the test would be:

H1: The retention rate after implementing the new programs is greater than 24%.

To test this hypothesis, we would collect data on the retention rates before and after implementing the new programs, and then perform a statistical analysis, such as a t-test or chi-square test, to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.