To Plan the Course Offerings for the Next Year a University

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 H0: p = 0.40 versus HA: p < 0.40 at the α = 0.05 level of significance?

A) Yes, since 40% is in the confidence interval he fails to reject the null hypothesis, concluding that there is not strong enough evidence of any change in the percent of qualified applicants.
B) Yes, since 40% is not the center of the confidence interval he rejects the null hypothesis, concluding that the percentage of qualified applicants will decrease.
C) No, because the dean only reviewed a sample of the applicants instead of all of them.
D) Yes, since 40% is in the confidence interval he accepts the null hypothesis, concluding that the percentage of applicants qualified for paid internship positions will stay the same.
E) No, because he should have used a 95% confidence interval.