Question

Translate the statement into a confidence interval. Approximate the level of confidence. In a survey of 1100 parents of children ages​ 8-14, 74% say they are willing to get a second or​ part-time job to pay for their​ children's college education and 40% say they lose sleep worrying about college costs. The​ survey's margin of error is plus or minus±3%. Use the results from the survey about getting a second or​ part-time job. The confidence interval for the proportion is left parenthesis nothing comma nothing right parenthesis , . ​(Round to three decimal places as​ needed.)

Answer 1

The confidence interval for the proportion of getting a second or​ part-time job is given by:

PEMOE

Given:

$\hat{p}$ = 0.74

MOE = 0.03

Substituting, we get:

0.74 $\pm$ 0.03

= (0.710, 0.770)

So,

The confidence interval for the proportion of getting a second or​ part-time job is given by:

(0.710, 0.770)