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2. (25 points) The Harris Poll conducted a survey in which they asked, \"How man

ID: 2908168 • Letter: 2

Question

2. (25 points) The Harris Poll conducted a survey in which they asked, "How many tattoos do you currently have on your body?" Of the 1205 males surveyed, 181 responded that they had at least one tattoo.Of the 1097 females surveyed, 143 responded that they had at least one tattoo. Assume that the samples are random. (a) (2 points) Check that the conditions for the computation of a confidence interval indeendences 77 10 (b) (9 points) Construct a 95% confidence interval for the difference in the proportions of males and females who have a tattoo. This quantity may help you. SEn-h = 0.014 opl: Male 13/ P 0 1304 (0.1502- o.13041.060 Co.0145) C-000 g62 , ?. D4622] (c) (9 points) Interpret the interval in context.

Explanation / Answer

c) Here, the 95% Confidence Interval means that differences in Proportions of males and females who have a tatoo is (-0.00862, 0.04822)

d) No, Because the Inteval (-0.00862, 0.04822) contains the value of 0, which means we would be able to fail to reject the null hypothesis and conclude that there is no difference

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