The recent default rate on all student loans is 5.2 percent in 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-3.) What is the z-score for the sample data? (A negative value should be indicated by a minus sigh. Round your answer to 2 decimal places.)

z-calc ?

b.) Calculate the p-value. (round intermediate calculations to 2 decimal places. Round your final answer to 4 decimal places.

p-value ?