The recent default rate on all student loans is 5.1 percent. In a recent random sample of 322 loans at private universities, there were 19 defaults. Does this sample show sufficient evidence that the private university loan default rate is below the rate for all universities, using a left- tailed test at a = 010? (a-1) Choose the appropriate hypothesis. а. Не 2.051; H: <.051. Accept H, if z<-2.326 b. Hg: 2.051; H: <.051. Reject Ha if z<-2.326 (a-2) Calculate the z-score for the sample data using a left-tailed test at a = .01. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Zcalc

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(a-3) Should the null hypothesis be rejected?
Yes
No
(b) Calculate the p-value. (Round your answer to 4 decimal places.)
p-value
(c) The assumption of normality is justified.
Yes
No
Transcribed Image Text:(a-3) Should the null hypothesis be rejected? Yes No (b) Calculate the p-value. (Round your answer to 4 decimal places.) p-value (c) The assumption of normality is justified. Yes No
The recent default rate on all student loans is 5.1 percent. In a recent random sample of 322 loans at private universities, there were 19
defaults.
Does this sample show sufficient evidence that the private university loan default rate is below the rate for all universities, using a left-
tailed test at a = .010?
(a-1) Choose the appropriate hypothesis.
a. Hg:
2.051; H:
<.051. Accept Hg if z<-2.326
b. Hg:
2.051; H:
<.051. Reject Ho if z<-2.326
a.
b
(a-2) Calculate the z-score for the sample data using a left-tailed test at a = .01. (A negative value should be indicated by a minus
sign. Round your answer to 3 decimal places.)
Zcalc
Transcribed Image Text:The recent default rate on all student loans is 5.1 percent. In a recent random sample of 322 loans at private universities, there were 19 defaults. Does this sample show sufficient evidence that the private university loan default rate is below the rate for all universities, using a left- tailed test at a = .010? (a-1) Choose the appropriate hypothesis. a. Hg: 2.051; H: <.051. Accept Hg if z<-2.326 b. Hg: 2.051; H: <.051. Reject Ho if z<-2.326 a. b (a-2) Calculate the z-score for the sample data using a left-tailed test at a = .01. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Zcalc
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