13) A study published in 2008 in the American Journal of Health Promotion (Volume 22, Issue...

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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 Phat_f -Phat_m ?
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 â€œyesâ€ or â€œno.â€ ______The briefly explain your answer? [3pt]

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aGroup females n1 19231 1241923 0064n11 1923 X 0064 124 10n1 1 1 1923 X 0936 1800 10So both conditions are satisfiedGroup 2 Malesn2 12362 611236 0049n22 1236 X 0049 61 10n2 1 2 1236 X 0951 1175 10Thus it is Verifed that the sample size is large enoughin each group to use See Answer

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