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A private opinion poll is conducted for a politician 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 2%.

  • Statistics -

    Formula to find sample size:
    n = [(z-value)^2 * p * q]/E^2
    ... where n = sample size, z-value is found using a z-table for 95% confidence, p = .5 (when no value is stated in the problem), q = 1 - p, ^2 means squared, * means to multiply, and E = .02.

    Plug values into the formula and calculate n.

    I hope this will help get you started.

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