Question

A company sells their product in Canada and the United States. They wonder if people in both countries will respond similarly to a new advertisement for the product. They show the ad to a sample of 202020 Canadians and a separate sample of 202020 Americans. Here is a summary of the responses in each sample and the results from a chi-squared test:
Chi-square test: Response vs. country
Canada US
Positive 11 5
Expected 8.0 8.0
Neutral 6 5
Expected 5.5 5.5
Negative 3 10
Expected 6.5 6.5

x = 6.110, DF = 2, P-value = 0.047

Assume that all conditions for inference were met. At the a=0.05 significance level, what is the most appropriate conclusion to draw from this test?

Answer 1

Answer:

This is convincing evidence that the responses differ between these countries.

Step-by-step explanation:

The data in this study came from separate samples, so a test for homogeneity is appropriate. Since the P-value is less than the significance level, we should reject the null hypothesis that the distribution of responses is the same in both countries.