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.

Of the estimated 6.46 million Floridians aged 18 to 44, how many would you expect to report having good mental health in the last 30 days? Use your estimated range to solve. Round to the nearest hundredth.

Answer 1

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 is approximately 82.3% to 86.5%. The estimated number of Floridians aged 18 to 44 who would report having good mental health in the last 30 days is approximately 5.32 million to 5.59 million.

Step-by-step explanation:

To 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, we need to consider the margin of error. The given survey had a margin of error of 2.1%, which means the actual percentage could be 2.1% higher or lower than the reported percentage of 84.4%. To calculate the range, we add and subtract the margin of error from the reported percentage:

Lower End: 84.4% - 2.1% = 82.3%

Upper End: 84.4% + 2.1% = 86.5%

So, the range of the actual percentages would be approximately 82.3% to 86.5%. To estimate the number of Floridians aged 18 to 44 who would report having good mental health in the last 30 days, we first need to know the population size. According to the information provided, the estimated population size is 6.46 million. We can use the range of the actual percentages we calculated earlier to estimate the number:

Lower End: 82.3% of 6.46 million = 5.32 million

Upper End: 86.5% of 6.46 million = 5.59 million