According to Gallup, 58% of US Adults choose to pursue higher education solely to get a good job. Consider taking samples of 900 adults in t

Question

According to Gallup, 58% of US Adults choose to pursue higher education solely to get a good job. Consider taking samples of 900 adults in the United States and calculating the sample proportion who pursue higher education solely to get a good job.
Assuming all conditions are met, fill in the blanks for the following about the sampling distribution for the sample proportion.
The sampling distribution for the sample proportion follows the [ Select ] [“Population Model”, “Sample Model”, “Random Model”, “Normal Model”] . The mean of the sampling distribution is [ Select ] [“0.064”, “0.0165”, “900”, “0.58”] . The standard deviation of the sampling distribution is [ Select ] [“0.58”, “0.064”, “900”, “0.0165”]

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Thu Cúc 3 years 2021-07-31T00:17:52+00:00 1 Answers 13 views 0

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  1. Vodka
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    2021-07-31T00:19:00+00:00
    Reply

    Answer:

    (a) Normal model

    (b)\ Mean = 0.58

    (c)\ \sigma = 0.0165

    Step-by-step explanation:

    Given

    p = 58\%

    n = 900

    Solving (a): The distribution type

    The sample follows a normal model

    Solving (b): The mean

    This is calculated as:

    Mean = p

    So, we have:

    Mean = 58\%

    Express as decimal

    Mean = 0.58

    Solving (c): The standard deviation

    This is calculated as:

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

    So, we have:

    \sigma = \sqrt{\frac{58\%(1 - 58\%)}{900}}

    Express as decimals

    \sigma = \sqrt{\frac{0.58(1 - 0.58)}{900}}

    \sigma = \sqrt{\frac{0.58 * 0.42}{900}}

    \sigma = \sqrt{\frac{0.2436}{900}}

    \sigma = \sqrt{0.00027066666}

    \sigma = 0.0165

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