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30 August, 01:18

It is believed that 35% of the US population owns one car, 30% own two cars, 25% own three cars or more, and 10% do not own a car. You want to take a simple random sample of individuals to test this claim. What is the smallest number of people required for the sample to meet the conditions for performing inference

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  1. 30 August, 01:24
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    Answer: 50 is the answer.

    Step-by-step explanation:

    35% of U. S population owns a car=

    35/100 = 0.35

    30% owns two cars = 30/100 = 0.30

    25% owns 3 or more cars = 25/100 = 0.25.

    The smallest number of people required for the sample to meet the conditions for performing inference is given below:

    Here, the minimum percentage is for those who do not own a car = 10 / 100 = 0.10

    Therefore for each cell, there must be atleast expected 5 counts.

    so if n is requisite sample size than

    Expected number of people who do not own a car = 0.10 n

    that value must be greater than 5

    so,

    0.10n > or = 5

    n> = 5/0.10

    n > = 50

    so here 50 is the answer.
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