Question

in a survey of 850 students in a school 90% reported having pets at home. if the margin of error is +3.4%, what is the interval that is likely to contain the exact percent of all people who have pets at home

Answer 1

86.6% ; 93.4%

Explanation:

To obtain the population proportion from the sample, we calculate the confidence interval ;

Confidence interval = phat ± margin of error

Phat = 90% ; margin of error = +3.4%

Hence,

90% ± 3.4%

(90 - 3.4)% ; (90 + 3.4)%

86.6% ; 93.4%