Question

find the margin of error and 95% confidence interval for the survey result described.
according to a poll of 1374 people, about one - third (32%) of americans keep a dog for protection.
margin of error = 3% (round to the nearest whole number as needed)
confidence interval is from □% to □%.

Explanation:

Step1: Recall Confidence Interval Formula

For a proportion \( \hat{p} \), the confidence interval is \( \hat{p} \pm \text{Margin of Error} \). Here, \( \hat{p} = 32\% \) and margin of error \( E = 3\% \).

Step2: Calculate Lower Bound

Lower bound = \( 32 - 3 = 29\% \)

Step3: Calculate Upper Bound

Upper bound = \( 32 + 3 = 35\% \)

Answer:

Confidence interval is from 29% to 35%.