Question

1)You are conducting a test of homogeneity for the claim that two different populations have the same proportions of the following two characteristics. Here is the sample data.

Category	Population #1	Population #2
A	37	156
B	30	37

What is the chi-square test-statistic for this data?
χ2=?

2)Do male and female college students have the same distribution of living arrangements? Use a level of significance of 0.05. Suppose that 104 randomly selected male college students and 96 randomly selected female college students were asked about their living arrangements: dormitory, apartment, or other. The results are shown in Table. Do male and female college students have the same distribution of living arrangements?

	Dormitory	Apartment	Other
Male	25	13	66
Female	13	18	65

What is the chi-square test-statistic for this data?
χ2=?

Answer 1

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1.

The ChiSquare value is calculated in the table below:

The contingency table below provides the following information: the observed cell totals, (the expected cell totals) and [the chi-square statistic for each cell].

The chi-square statistic is 17.0462.

The p-value is .000036.

The result is significant at p < .01.

The claim that two different populations have the same proportions of the following two characteristics is TRUE