Question

According to a research report, 64% of Canadians over the age of 18 are overweight or obese. The following information was accumulated from surveys of Canadians over the age of 18 taken from two Canadian cities.

	City A	City B
Sample size	260	300
Number of respondents that are overweight or obese	94	125

1.   Develop a 95% confidence interval for the difference between the proportions of adults that are overweight or obese in the two cities. (2 Points)

2.   Is there conclusive evidence that one of the proportions is significantly different from the other at the 0.05 level of significance? Explain using the results of Part 1. Do not perform any hypothesis test. (2 Points)

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Answer 1

Solution:

We have:

1. The 95% confidence interval for the difference between the proportions of adults that are overweight or obese in the two cities is:

2.  There is no conclusive evidence that one of the proportions is significantly different from the other at the 0.05 level of significance because the 95% confidence interval contains the 0.