Question

Suppose that census data in one small town reveal that of the men over 18, 30% are single, 40% are married, 20% are divorced, and 10% are widowers. If a random sample of male readers of a town newsletter consists of 22 singles, 10 married, 10 divorced, and 8 widowers, what is the value of the chi-square statistic you would use to test whether the readers of the newsletter have the same distribution of marital status as the population of the town?

		10.1
		13.4
		15.5
		29.9

Answer 1

Total number of samples = n = 22 + 10 + 10 + 8 = 50

Expected values are as follows :

For single : 50 * 0.30 = 15

For married : 50 * 0.40 = 20

For divorced : 50 * 0.20 = 10

For widowers : 50 * 0.10 = 5

The value of the chi-square test statistic is,

Therefore, the value of the chi-square statistic is 10.1