A private opinion poll is conducted for a politician to determine what proportion of the population...

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A private opinion poll is conducted for a politician to determine what proportion of the population...

A private opinion poll is conducted for a politician to determine what proportion of the population favors decriminalizing marijuana possession. How large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 5%?

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A private opinion poll is conducted for a politician to determine what proportion of the population...

A private opinion poll is conducted for a politician to determine what proportion of the population favors decriminalizing marijuana possession. How large a sample is needed to be 90% confident that the sample proportion will not differ from the true proportion by more than 6%? Please show work.
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