Question

In a survey of 3407 adults aged 57 through 85​ years, it was found that 85.3​% of them used at least one prescription medication. Complete parts​ (a) through​ (c) below.

a. How many of the 3407 subjects used at least one prescription​ medication? ___ ​(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.)

c. What do the results tell us about the proportion of college students who use at least one prescription​ medication?

A. The results tell us nothing about the proportion of college students who use at least one prescription medication.

B. The results tell us​ that, with​ 90% confidence, the probability that a college student uses at least one prescription medication is in the interval found in part​ (b).

C. The results tell us​ that, with​ 90% confidence, the true proportion of college students who use at least one prescription medication is in the interval found in part​ (b).

D. The results tell us that there is a​ 90% probability that the true proportion of college students who use at least one prescription medication is in the interval found in part​ (b).

Answer 1

a) How many of the 3407 subjects used at least one prescription​medication?
= 3407 * 0.853
= 2906.171 = 2906
Sample proportion () = 0.853
Sample size (n) = 3407
Confidence interval(in %) = 90
z @ 90% = 1.645
Since we know that

Required confidence interval = (0.853-0.01, 0.853+0.01)
Required confidence interval = (0.843, 0.863)
c) D. The results tell us that there is a​ 90% probability that the true proportion of college students who use at least one prescription medication is in the interval found in part​ (b).
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