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. 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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