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	40	89
B	39	85

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

2)

Both before and after a recent earthquake, surveys were conducted asking voters which of the three candidates they planned on voting for in the upcoming city council election. Has there been a change since the earthquake? Use a level of significance of 0.05. Table shows the results of the survey. Has there been a change in the distribution of voter preferences since the earthquake?

	Peter	Alan	Sui
Before	823	1983	928
After	1455	500	146

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

Answer 1

Answer:

1)

The chi-square statistic is 0.0058. The p-value is .939292. This result is not significant at p < .05.

2)

The chi-square statistic is 1273.1703. The p-value is < 0.00001. The result is significant at p < .05.