A Gallup Poll in December 2019 reported that 46% of the 5120 adults aged 18 and older in the sample said both their mental and t
heir physical health was good or excellent. Gallup announced, "For results based on the combined sample of 5120 adults, aged 18 and older ... the margin of sampling error is 2 percentage points at the 95% confidence level." Confidence intervals for a percentage follow the form
estimate±margin of error
Based on the information from Gallup, what is the 95% confidence interval for the percentage of all adults aged 18 and older who would say both their mental and physical health was good or excellent? Give your answer as an interval in the form (lower bound, upper bound). Give your numbers as percentages and as whole numbers.
