Question

translate the statement into a confidence interval. approximate the level of confidence.
in a survey of 900 adults in a country, 77% think teaching is one of the most important jobs in the country today.
the surveys margin of error is ±4%.
the confidence interval for the proportion is ().
(round to three decimal places as needed.)

Explanation:

Step1: Calculate the lower bound

The sample proportion \(p = 0.77\), and the margin of error \(E=0.04\).
The lower bound of the confidence interval is \(p - E\).
\(0.77-0.04 = 0.73\)

Step2: Calculate the upper bound

The upper bound of the confidence interval is \(p + E\).
\(0.77 + 0.04=0.81\)

Answer:

\((0.730,0.810)\)