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11 July, 08:27

Suppose that in a certain community, 40% of the residents would answer "yes" to the question, "do you know the names of at least five other people who live on your block?" suppose you plan to take a random sample of 100 people from this community and calculate the proportion of people in your sample whose response to this question is "yes".

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  1. 11 July, 12:26
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    The proportion of people in your sample whose response is yes=40 people

    Explanation:

    Step 1: Determine the statistical proportion that will say yes

    Proportion=40%=40/100=0.4

    Step 2: Determine the proportion in the sample that will say yes

    The proportion in the sample can be expressed as;

    P=S*Z

    where;

    P=proportion in the sample

    S=statistical proportion

    Z=sample size

    In our case;

    P=unknown to be determined

    S=40%=40/100=0.4

    Z=100

    replacing;

    Proportion in the sample=0.4*100=40

    The proportion of people in your sample whose response is yes=40 people
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