A University Wants to Increase Its Retention Rate of 4

A university wants to increase its retention rate of 4% for graduating students from the previous year.After implementing several new programs during the last two years,the university reevaluated its retention rate using a random sample of 352 students and found the retention rate at 5%.Test an appropriate hypothesis and state your conclusion.Be sure the appropriate assumptions and conditions are satisfied before you proceed.

A)

: p = 0.04;

: p > 0.04;z = 0.96;P-value = 0.1685.This data shows virtually no evidence that more than 4% of students are retained;the university should not continue with the new programs.
B)

: p = 0.04;

: p < 0.04;z = 1.07;P-value = 0.8577.This data shows conclusive evidence that more than 4% of students are retained;therefore,the university should continue with the new programs.
C)

: p = 0.04;

: p < 0.04;z = -1.07;P-value = 0.8577.This data shows conclusive evidence that more than 4% of students are retained;the university should continue with the new programs.
D)

: p = 0.04;

: p > 0.04;z = -1.07;P-value = 0.1423.This data does not show that more than 4% of students are retained;the university should not continue with the new programs.
E)

: p = 0.04;

: p ≠ 0.04;z = 1.07;P-value = 0.2846.This data shows virtually no evidence that more than 4% of students are retained;the university should not continue with the new programs.