Question

The following table gives for a sample of married women, the level of education
and marriage adjustment score:
Marriage Adjustment Score

Low High Very High
Middle School 25 5 10
Level of High School 50 30 40
Education College 120 60 60

Can you conclude from the above, the higher the level of education, the greater is
the degree of adjustment in marriage? Justify.

Answer 1

Answer on Question #55141 – Math – Statistics and Probability

The following table gives for a sample of married women, the level of education and marriage adjustment score:

Marriage Adjustment Score

Low High Very High

Middle School 25 5 10

Level of High School 50 30 40

Education College 120 60 60

Can you conclude from the above, the higher the level of education, the greater is the degree of adjustment in marriage? Justify.

Solution

$H_0$: There is no relation between the level of education and adjustment in marriage.

$H_a$: The level of education and adjustment in marriage are associated.

$$\begin{array}{l} v = (3 - 1) \cdot (3 - 1) = 4 \\ \chi_{0.05}^2 (v = 4) = 9.5 \\ \end{array}$$

Since $\chi^2 >\chi_{0.05}^2,H_0$ is rejected.

That is, the level of education and adjustment in marriage are associated.

Thus we may conclude that the higher the level of education, the greater is the degree of adjustment in marriage.

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