In a sample of 80 borrowers who borrowed less than $1,000 from an online instant lender, 22 repaid late while in a sample of 120 who borrowed over $1,000, 43 repaid late. Is there enough evidence to conclude that those who borrow less than $1,000 are less like likely to repay late? Test at α =0.025. α =0.025.
Standard Normal Distribution Table
a. Calculate the test statistic. Let p1p1 be the proportion for borrowers who borrowed less than $1,000 and p2p2 be those who borrowed over $1,000.
z=z=
Round to two decimal places if necessary
Enter 0 if normal approximation cannot be used
b. Determine the critical value(s) for the hypothesis test.
Round to two decimal places if necessary
Enter 0 if normal approximation cannot be used
c. Conclude whether to reject the null hypothesis or not based on the test statistic.
Reject
Fail to Reject
Cannot Use Normal Approximation
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