Question: 10.85 In the table below are data collected between 1996 and 1998 on ear piercing and tattoos for male Penn State students. Assume that these

10.85 In the table below are data collected between 1996 and 1998 on ear piercing and tattoos for male Penn State students.

Assume that these men represent a random sample of male Penn State students. The results were as follows:

Tattoo?

Ear Piercing No Yes Total No 381 43 424 Yes 99 42 141 Total 480 85 565

a. For the population of men with no ears pierced, find a 90% confidence interval for the proportion with a tattoo.

b. For the population of men with an ear pierced, find a 90% confidence interval for the proportion with a tattoo.

c. Find a 99% confidence interval for the difference in proportions of men with a tattoo for the populations with and without an ear piercing. Write a sentence interpreting the interval.

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