13. A sociologist is studying influences on family size. He finds pairs of sisters, bothof whom are married, and determines for each sister whether she has 0,, or 2or more children. He wants to compare older and younger sisters. Explain whatthe following hypotheses mean and how to test them.a. The number of children the younger sister has is independent of the numberof children the older sister hasb. The distribution of family sizes is the same for older and younger sisters.Could one hypothesis be true and the other false? Explain.

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Asked Apr 23, 2019
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13. A sociologist is studying influences on family size. He finds pairs of sisters, both
of whom are married, and determines for each sister whether she has 0,, or 2
or more children. He wants to compare older and younger sisters. Explain what
the following hypotheses mean and how to test them.
a. The number of children the younger sister has is independent of the number
of children the older sister has
b. The distribution of family sizes is the same for older and younger sisters.
Could one hypothesis be true and the other false? Explain.
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13. A sociologist is studying influences on family size. He finds pairs of sisters, both of whom are married, and determines for each sister whether she has 0,, or 2 or more children. He wants to compare older and younger sisters. Explain what the following hypotheses mean and how to test them. a. The number of children the younger sister has is independent of the number of children the older sister has b. The distribution of family sizes is the same for older and younger sisters. Could one hypothesis be true and the other false? Explain.

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Expert Answer

Step 1

a.

To test whether the number of children to the younger and older sister are independent or not, we use the Chi square test for independence.

Firstly, arrange the data as given below:

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Step 2

It is required to test,

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Step 3

Use the Pearson Chi square s...

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Hypothesis Testing

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