13) A study published in 2008 in the American Journal ofHealth Promotion (Volume 22, Issue 6) by researchers at theUniversity of Minnesota (U of M) found that 124 out of 1,923 U of Mfemales had over $6,000 in credit card debt while 61 out of 1,236males had over $6,000 in credit card debt.
a) Verify that the sample size is large enough in eachgroup to use the normal distribution to construct a confidenceinterval for a difference in two proportions.
b) Construct a 95% confidence interval for thedifference between the proportions of female and male University ofMinnesota students who have more than $6,000 in credit card debt(pf - pm).
d) Does the interval contain the difference in sampleproportions of female and male University of Minnesota students whohave more than $6000 in credit card debt Phatf -Phatm ?
e) Explain why the previous question is silly and didnot require you to even look at the interval.
f) According to your interval in (b) is it reasonable toassume that there is no difference between men and women at U of Mregarding credit card debt? Clearly answer “yes” or “no.” ______The briefly explain your answer? [3pt]
