A study from 2008 by reseac hers at Uof M found that 124 out of 1923 females at the university had moore than 6,000 dollars in credit card debt while 61 out of 1236 males had more than 6,000 dollars in crexit card debt.
a) Verify that the sample size is large enough in each group to use the normal distribution to construct a confidence interval for a difference in two proportions.
b) Construct a 95% confidence interval for the difference between the proportion s of female and male U of M students who have more than 6,000 dollars in credit card debt. Round your sample proportions and margin of error to four decimal places.
C) Test, at the 5% level, if there is evidence that the proportion of female students at U of M with mor than 6,000 crexit card debt is greater than the proportion of males at U of M with more than 6,000 credit card debt. Include details.