A University Wants to Increase Its Retention Rate of 4 $\mathrm { H } _ { 0 }$

question 5

Multiple Choice

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) \(\mathrm { H } _ { 0 }\) : p = 0.04; \(\mathrm { H } _ { \mathrm { A } }\) : 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) \(\mathrm { H } _ { 0 }\) : p = 0.04; \(\mathrm { H } _ { \mathrm { A } }\) : 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) \(\mathrm { H } _ { 0 }\) : p = 0.04; \(\mathrm { H } _ { \mathrm { A } }\) : 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) \(\mathrm { H } _ { 0 }\) : p = 0.04; \(\mathrm { H } _ { \mathrm { A } }\) : 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) \(\mathrm { H } _ { 0 }\) : p = 0.04; \(\mathrm { H } _ { \mathrm { A } }\) : 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.

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Definitions:

Conventional Mortgage

A mortgage that involves no government backing by either insurance or guarantee.

Mortgagor

The party who borrows money and gives a mortgage to the lender or mortgagee as security for the loan.

Collateral

The property that is subject to a security interest.

Assumes Debt

When an individual or entity takes on the legal obligation to pay back a debt originally owed by another party.