Question

Eric randomly surveyed 150 adults from a certain city and asked which team in a contest they were rooting​ for, either North High School or South High School. From the results of his​ survey, Eric obtained the following​ 95% confidence interval for the proportion of all adults in the city rooting for North​ High, (0.52,0.68). Interpret this confidence interval.Choose the correct answer below:a. There's a 95% chance that between 52% and 98% of all adults in this city will root for North High School.b. We are 95% sure that between 52% and 68% of adults in this sample will root for North High School. c. Between 52% and 68% of adults in this city will root for North High School 95% of the time.d. We are 95% sure that between 52% and 68% of all adults in this city will root for North High School.

Answer 1

d. We are 95% sure that between 52% and 68% of all adults in this city will root for North High School.

Explanation:

A confidence interval of a proportion p% at the x% level with m% margin of error means that:

We are x% sure that the true mean of the population is in the interval from (p-x)% to (p+x)%.

So the correct answer is:

d. We are 95% sure that between 52% and 68% of all adults in this city will root for North High School.