In: Statistics and Probability
            A lending institution supplied the following data on loan
approvals by four loan officers. Use α...
                
            A lending institution supplied the following data on loan
approvals by four loan officers. Use α = .05 and test to determine
whether the loan approval decision is associated with the loan
officer reviewing the loan application.
 | 
 Loan Approval Decision 
 | 
 | 
| 
 Loan Officer 
 | 
 Approved 
 | 
 Rejected 
 | 
 | 
| 
 Miller 
 | 
 24 
 | 
 16 
 | 
 | 
| 
 McMahon 
 | 
 17 
 | 
 13 
 | 
 | 
| 
 Lee 
 | 
 35 
 | 
 15 
 | 
 | 
| 
 Sanchez 
 | 
 11 
 | 
 9 
 | 
 | 
 | 
 | 
 | 
 | 
Hint: Consider what types of variable Loan Officer and Approval
Decision are.
Conduct a hypothesis test and upload a file with your answer. To
receive full credit your answer must include the following:
- State the null and alternative hypotheses. Hint: For this type
of problem Ho and Ha are shown using English sentences, not
mathematical symbols.
 
- Give the symbol used for the test statistic for this test.
 
- Calculate the value of the test statistic for this data.
 
- Calculate the degrees of freedom needed to evaluate the test
statistic.
 
- Give a range for the p-value if you are using a table, or you
can give an exact p-value if you are using a computer or
calculator.
 
- State whether you reject or fail to reject Ho.
 
- Interpret your answer with a sentence in English that someone
who has not studied statistics would understand.