Question

constuct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one perception medication. round to one decimal place

In a survey of 3060 adults aged 57 through 85 years, it was found that 89 3 % of them used at least one prescription medication Complete parts (a) through (c) below a. How many of the 3060 subjects used at least one prescription medication? 2733 (Round to the nearest integer as needed) b. Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication <p (Round to one decimal place as needed

Answer 1

b. Here sample size is sufficient large so we will use z value to find CI

for 90% CI z value is 1.645 as P(-1.645<z<1.645)=0.90

So Margin of Error is

0.893 0.107 p1.645 0.009 E z* 3060

Hence CI is

pt E 0.893 t 0.009 (0.884,0.902)

Hence answer here is

88.4%<p<90.2%