3.9 A community in the San Francisco Bay area consists of approximately 50,000 persons, of whom approximately 40% are Caucasians, 25% are African American, 20% are Hispanic, and 15% are Asian. It is desired to estimate in this community the proportion of persons who are not covered by some form of health insurance. One would like to be 95% certain that this estimate is within 15% of the true proportion, which is believed to lie somewhere be- tween 10% and 20% of the total population. Assuming simple random sam- pling, how large a sample is needed?

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3.9 A community in the San Francisco Bay area consists of approximately 50,000
persons, of whom approximately 40% are Caucasians, 25% are African
American, 20% are Hispanic, and 15% are Asian. It is desired to estimate in
this community the proportion of persons who are not covered by some form
of health insurance. One would like to be 95% certain that this estimate is
within 15% of the true proportion, which is believed to lie somewhere be-
tween 10% and 20% of the total population. Assuming simple random sam-
pling, how large a sample is needed?
Transcribed Image Text:3.9 A community in the San Francisco Bay area consists of approximately 50,000 persons, of whom approximately 40% are Caucasians, 25% are African American, 20% are Hispanic, and 15% are Asian. It is desired to estimate in this community the proportion of persons who are not covered by some form of health insurance. One would like to be 95% certain that this estimate is within 15% of the true proportion, which is believed to lie somewhere be- tween 10% and 20% of the total population. Assuming simple random sam- pling, how large a sample is needed?
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