To plan the course offerings for the next year a university department dean need

Question

To plan the course offerings for the next year a university department dean needs to estimate what impact the "No Child Left Behind" legislation might have on the teacher credentialing program. Historically, 40% of this university's pre-service teachers have qualified for paid internship positions each year. The Dean of Education looks at a random sample of internship applications to see what proportion indicate the applicant has achieved the content-mastery that is required for the internship. Based on these data he creates a 90% confidence interval of (33%, 41%). Could this confidence interval be used to test the hypothesis

Upper H 0H0:

pequals=0.40

versus

Upper H Subscript Upper AHA:

pless than<0.40

at the

alphaequals=0.05

level of significance?

Explanation / Answer

Yes it can be used.

Since confidence interval contains 0.40 so we fail to reject the null hypothesis on the basis of confidence interval.

There is no evidence to reject the claim that 40% of this university's pre-service teachers have qualified for paid internship positions each year.

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