An interactive poll found that 344 of 2.271 adults aged 18 or older have at one

Question

An interactive poll found that 344 of 2.271 adults aged 18 or older have at one tattoo. (a) Obtain a point estimate for the proportion of adults who have at least one tattoo (b) Construct a 90% confidence interval for the proportion of adults with at least one tattoo (c) Construct a 90% confidence interval for the proportion of adults with at least one tattoo. (d) What is the effect of increasing the level of confidence on the width of the interval? (b) Construct the 90% confidence interval Select the collect choice below and it necessary. fill in the answer boxes to complete you choice. The requirements for constructing a conduce interval are not satisfied (C) Construct the 99% confidence interval. Select the correct choice below and if necessary, fill in the answer boxes to complete your choice. The requirements for constructing a confidence interval are not satisfied. (d) Choose the correct answer below A. Increasing the level of confidence widens the interval. B Increasing the level of confidence has no effect on the interval. C. Increasing the level of confidence narrows the interval

Explanation / Answer

a)phat=344/2271=0.151

b) std error =(p(1-p)/n)1/2 =0.0075

for 90% CI, z=1.645

A)hence lower bound =point estimnate -z*std error =0.139

upper bound=point estimnate +z*std error =0.164

c)( for 99% CI, z=2.5758

A)hence lower bound =point estimnate -z*std error =0.132

upper bound=point estimnate +z*std error =0.171

d)option A ; increasinfg the CI widens the interval

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