Test for Homogeneity · Example 1

Do male and female college students have the same distribution of living arrangements? Use a level of significance of 0.05. Suppose that 250 randomly selected male college students and 300 randomly selected female college students were asked about their living arrangements: dormitory, apartment, with parents, other. The results are shown in. Do male and female college students have the same distribution of living arrangements?

$$\begin{array}{ccccc}& \text{Dormitory}& \text{Apartment}& \text{With Parents}& \text{Other}\\ \text{Males}& \text{72}& \text{84}& \text{49}& \text{45}\\ \text{Females}& \text{91}& \text{86}& \text{88}& \text{35}\end{array}$$

OpenStax, Statistics · §11.4 Test for Homogeneity · Example 1