3 According to the CDC 494 OF American adults 18 years old a

3. According to the CDC, 49.4% OF American adults 18 years old and over meet their Physical Activity Guidelines for aerobic activity. The owners of a gym want to know if the proportion of their members who met these requirements is different from the national average. They took a random sample of 40 members and 28 met the CDC’s guidelines. Perform a hypothesis test to answer their question. (Use a 5% significance level).

- Show all the steps, starting with your hypotheses all the way to your final conclusion.

- If the results are significant, calculate a 95% confidence interval for the true proportion.

Solution