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A study is planned to estimate the proportion of young adults (18-25 year olds) in Canada who smoke. How large a sample should be used to estimate...

A study is planned to estimate the proportion of young adults (18-25 year olds) in Canada who smoke. How large a sample should be used to estimate the true proportion to within 0.03 with a level of confidence (reliability) 99% if

a) a pilot sample gave 0.35 as a prior estimate for p?

b) no prior estimate of p is available? 

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