A researcher wishes to estimate the proportion of adults living in rural areas who own a gun. He wishes to achieve a margin of error of 2.8%. What is the minimum sample size needed?

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  1. 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 whatever confidence level is used, when no value is stated in the problem p = .50, q = 1 - p, ^2 means squared, * means to multiply, and E = .028.

    Plug values into the formula and calculate n.

    I hope this will help.

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