Question

for the following question, choose the right statistical test, justify it, and write the results.

most americans report that one of their new years resolution goal is to lose 25 pounds in 3 months. a study was done to see if canadians on average report lower weight loss resolutions than americans. A random sample of 80 Canadians were asked to report how many pounds they set as their New Year’s weight loss resolutions.

Answer 1

This is a Z test for a single proportion. Here we are testing to see if the proportion of Canadians who make weight loss resolutions is lesser than the Americans. It has been given that most Americans make this resolution.

Therefore the Hypothesis:

H0: p 0.5

Ha: p < 0.5

The following are the assumptions

1) The sample of Canadians is a simple random sample

2) The sample are independent of each other.

3) n * p and n * (1 - p) are both greater than 10.

4) The population size is at least 10 times the sample size.

The Test Statistic:

The Decision Rule:    

The Critical Value Method: If Zobserved is < -Zcritical, Then Reject H0.

The p value Method: If the P value is < , Then Reject H0