Question

A sample of 120 married men between 35 and 40 years of age were asked in 1960 the source of their greatest satisfaction in life – their career, their family, or some other activity. A similar sample of 110 married men were asked the same question in 1993. Notice that the two samples -1960 and 1993 – independent (the two samples have different participants), and each person’s score can be tallied in one and only one category –career, family, or other. The data collected are given below.

Career Family Other

Men in 1960 65 42 13

Men in 1993 25 68 17

a. State the null hypothesis for the study described.

b. Use Excel to conduct a test of the null hypothesis (p = .05).

c. Provide an interpretation of your statistical conclusion in part B.

Answer 1

(a)

Hypotheses are:

H0: The distribution of married men between 35 and 40 years of age having source of their greatest satisfaction in life is same in 1960 and 1993.

Ha: The distribution of married men between 35 and 40 years of age having source of their greatest satisfaction in life is not same in 1960 and 1993.

(b)

Following is the test of chi square test of independence:

The p-value is 0.0000

Since p-value is less than 0.05 so we reject the null hypothesis.

c:

We can conclude that the distribution of married men between 35 and 40 years of age having source of their greatest satisfaction in life is not same in 1960 and 1993.