A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the additional r

Question

A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let ^ p denote the proportion in the sample who say they support the increase. Suppose that 47% of all adults in Ohio support the increase. The standard deviation of the sampling distribution is

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RI SƠ 3 years 2021-07-28T13:46:50+00:00 1 Answers 25 views 1

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  1. Giakhanh
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    2021-07-28T13:48:46+00:00
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    Answer:

    The correct response is “0.0129“.

    Step-by-step explanation:

    Given:

    n=1500

    p=0.47

    np=1500\times 0.47

        =705

    nq=1500\times (1-0.47)

        =795

    Mean of sampling distribution will be:

    \mu_\hat{p} = 0.47

    hence,

    The standard deviation will be:

    ⇒  \sigma_\hat{p} = \sqrt{\frac{p(1-p)}{n} }

    By putting the values, we get

             = \sqrt{\frac{0.47(1-0.47)}{1500} }

             = 0.012886686

             = 0.0129

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