Computing z score for the sample data

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Q1) Recent default rate on all student loans is 5.2%. In recent random sample of 300 loans at private universities there were 9 defaults.

 

Question 1:

 

Does this sample illustrate enough evidence that private university loan default rate is below rate for all universities, using left-tailed test at α = .01?

 

a) Select the suitable hypothesis.

 

H0: π ≥ .052; H1: π < .052. Reject H0 if z < -2.33.

 

H0: π ≥ .052; H1: π < .052. Accept H0 if z < -2.33

 

b) What is the z score for the sample data?

 

c) Must the null hypothesis be rejected?

 

Yes

 

No

 

Question 2:

 

a) Compute the p-value.

 

b) Supposition of normality is justified.

 

Yes

 

No

Reference no: EM1321699

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