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 a​ 95% confidence interval of​ (0.52,0.68) for the proportion of all adults in the city rooting for North High. What proportion of the 150 adults in the survey said they were rooting for North High​ School?

Answer 1

Proportion = 0.6 or 60 %

Explanation:

Given:

- The obtained 95% confidence interval of a sample of adults rooting for North High:

(0.52 , 0.68)

- Sample size n = 150

Find:

What proportion of the 150 adults in the survey said they were rooting for North High​ School?

Solution:

The proportion of adults rooting for North high corresponds to the mean value of interval, as follows:

Proportion = ( 0.52 + 0.68 ) / 2

Proportion = 0.6 or 60 %