Question

For students who first enrolled in two year public institutions in a recent​ semester, the proportion who earned a​ bachelor's degree within six years was 0.395. The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate. ​(a) Determine the null and alternative hypotheses.

Answer 1

Null hypothesis =
`H_0:p=0.395`

Alternate hypothesis =
`H_a:p>0.395`

Explanation:

Given : In a recent​ semester, the proportion who earned a​ bachelor's degree within six years was 0.395.

The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate.

To Find : Determine the null and alternative hypotheses.

Solution:

In a recent​ semester, the proportion who earned a​ bachelor's degree within six years was 0.395.

Claim : the proportion of students who enroll in her institution have a higher completion rate.

So,null hypothesis =
`H_0:p=0.395`

Alternate hypothesis =
`H_a:p>0.395`