Finding the value of test statistic using one-tail proportion testing.

A state 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 appropriated assumption and conditions are satisfied before you proceed.

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

• HO: p = 0.04; HA: p 0.04; z = 1.07-value = 0.2846. This data does not show that more than 4% of students are retained; the university should not continue with the new programs.

• HO: p = 0.04; HA: 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.

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

• HO: p = 0.04; HA: p > 0.04; z = -1.96; P-value = 0.1685. This data does not show that more than 4% of students are retained; the university should not continue with the new programs.