In a survey of 3005 adults aged 57 through 85 years, it was found that 81.7% of the used at least one prescription medication (based on data from "Use of Prescription and Over-the-Counter Medications and Dietary Supplements Among Older Adults in the United States," by Qato et al., Journal of the American Medical Association, Vol. 300, No. 24)

a. How many of the 3005 subjects used at least one prescription medication?

b. Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication.

Question

Mathematics

Izabelle Herman

19 June, 10:19

In a survey of 3005 adults aged 57 through 85 years, it was found that 81.7% of the used at least one prescription medication (based on data from "Use of Prescription and Over-the-Counter Medications and Dietary Supplements Among Older Adults in the United States," by Qato et al., Journal of the American Medical Association, Vol. 300, No. 24)

a. How many of the 3005 subjects used at least one prescription medication?

b. Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication.

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Answers (1)

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Deven Franco · Answer 1

My answer for the part B is as follows:

Margin of error = 1.645 * sqrt [0.81 * 0.19 / 3005]

= 0.0118

Confidence interval required is 0.81 + / - 0.0118

lower limit = 0.81 - 0.0118 = 0.7982

upper limit = 0.81 + 0.0118 = 0.8218

CI required is (0.7982, 0.8218)

or (79.82%, 82.18%)