# A state university annual report showed that its retention rate was at 24% and university administrators 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?

Question

A state university annual report showed that its retention rate was at 24% and university administrators 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?

Step 1

Null and alternative hypothesis

Null Hypothesis:

A null hypothesis is a statement regarding the population value which one has to prove or disprove based on facts. It can be denoted as H0. Most often null hypothesis states that there is no significant relation between population values.

Alternative Hypothesis:

An alternative hypothesis is a contradictory statement of null hypothesis. It can be denoted as Ha.

Step 2

Correct alternative hypothesis is obtained as follows:

A state university annual report showed that its retention rate was at 24%.  The administrator would like to increase the rate. The claim of the test is that retention rate has increased during the last two years. Therefore, the alternative hypothesis of the test is that retention rate is greater than 24% during the ...

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