Pike creek Golf club currently has 375 members who pay annual dues to play golf on the course. Historical records show that 38% of the membe

Question

Pike creek Golf club currently has 375 members who pay annual dues to play golf on the course. Historical records show that 38% of the members use the course at least once a week during the summer season. To verify this, a random sample of 100 members was selected. Calculate the standard error of the proportion.

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Isabelle 5 hours 2021-09-14T22:08:05+00:00 1 Answer 0

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    2021-09-14T22:09:12+00:00

    Answer:

    The standard error of the proportion is 0.0485.

    Step-by-step explanation:

    The standard error of a proportion p in a sample of size n is given by the following formula:

    SE_{m} = \sqrt{\frac{p(1-p)}{n}}

    In this problem, we have that:

    n = 100, p = 0.38

    SE_{m} = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.38*0.62}{100}} = 0.0485

    The standard error of the proportion is 0.0485.

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