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.

Question

Jenna Wells

Mathematics

27 September, 02:09

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.

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Louis Duke · Answer 1

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

Step-by-step 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.