Question

In a survey of 3025 adults aged 57 through 85​ years, it was found that 85.2​% of them used at least one prescription medication. Complete parts​ (a) through​ (c) below.

a. How many of the 3025 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 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).

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

C. 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).

D. 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).

Answer 1

(a)

It is given that 85.2​% of adults aged 57 through 85 years used at least one prescription medication.

There are 3025 adults aged 57 through 85 years.

So, number of subjects used at least one prescription​ medication = 3025*85.2/100 = 2577.3 = 2577

(b)

We know,

For the given problem we have,

So, 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is 84.14% < p < 86.26%.

(c)

The result corresponds to adults aged 57 through 85​ years who use at least one prescription​ medication. It is not at all related with college students (as students posses much lesser age than the considered interval).

Hence, (B) The results tell us nothing about the proportion of college students who use at least one prescription medication.