Question

health the florida department of health surveyed individuals aged 18 to 44 regarding their mental health. of these, 84.4% reported having good mental health in the last 30 days. the survey had a margin of error of 2.1%. estimate the range of the actual percentages of people aged 18 to 44 in florida who would report having good mental health in the last 30 days
box% to box%

Explanation:

Step1: Calculate the lower bound

To find the lower bound of the percentage range, we subtract the margin of error from the reported percentage. The reported percentage is \( 84.4\% \) and the margin of error is \( 2.1\% \). So, the lower bound is \( 84.4 - 2.1 \).
\( 84.4 - 2.1 = 82.3 \)

Step2: Calculate the upper bound

To find the upper bound of the percentage range, we add the margin of error to the reported percentage. So, the upper bound is \( 84.4 + 2.1 \).
\( 84.4 + 2.1 = 86.5 \)

Answer:

\( 82.3\% \) to \( 86.5\% \)