the residential energy consumption survey found in 2001 that 47% ofAmerican hous
ID: 2914973 • Letter: T
Question
the residential energy consumption survey found in 2001 that 47% ofAmerican households had internet access. A market surveyorganization repeated this study in a certain town with 25,000households, using a simple random sample of 500 households: 239 ofthe sample households had internet access.a. the percentage of households in the town with internetaccess is estimated as ____. This estimate is likely to be off by_____ or so.
b. If possible, find a 95%-confidence interval for thepercentage of all 25,000 households with internet access. If thisis not possible, explain why not.
a. the percentage of households in the town with internetaccess is estimated as ____. This estimate is likely to be off by_____ or so.
b. If possible, find a 95%-confidence interval for thepercentage of all 25,000 households with internet access. If thisis not possible, explain why not.
Explanation / Answer
a. 239/500 = 47.8%, ME = 1.96*(0.478*0.522/500) = 4.4% b. 47.8%±4.4% = (43.4%, 52.2%) EDIT: 1.96 is the z* for a 95% confidence interval
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