Question: The recent default rate on all student loans is 5.2 percent. In a recent random sample of 300 loans at private universities, there were

The recent default rate on all student loans is 5.2 percent. Ina recent random sample of 300 loans at private universities, there were

The recent default rate on all student loans is 5.2 percent. In a recent random sample of 300 loans at private universities, there were 9 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 = .01? (a-1) Choose the appropriate hypothesis. a. H: .052; H: T < .052. Accept H if z < -2.326 b. H: T .052; H: TT < .052. Reject H if z < -2.326 a (a-2) What is the z-score for the sample data? (A negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) Zcalc _ (a-3) Should the null hypothesis be rejected? Yes No (b) Calculate the p-value. (Round intermediate calculations to 2 decimal places. Round your final answer to 4 decimal places.) p-value (c) The assumption of normality is justified. Yes No

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