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27 June, 09:21

An airline is interested in determining the proportion of its customers who are flying for reasons of business. If they want to be 90% certain that their estimate will be correct to within 2 percent, how large a random sample should they select?

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  1. 27 June, 09:26
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    a random sample they should select should be 1692 large.

    Explanation:

    Given:

    a = 0.1

    Z (0.05) = 1.645 (from standard normal table)

    n = (Z/E) ^2*p * (1 - p)

    = (1.645/0.02) ^2*0.5*0.5

    = 1691.266

    Therefore, a random sample they should select should be 1692 large.
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