Likelihood of getting a routine medical checkup. Who is

Chapter 8, Problem 105SE

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QUESTION:

Likelihood of getting a routine medical checkup. Who is more likely to get a routine medical checkup—employed or unemployed people? To answer this question, a team of physicians and public health professors collected data on a sample of over 2,200 individuals (American Journal of Public Health, Jan. 2002). Of the 1,140 individuals who were employed, 642 visited a physician for a routine checkup within the past year. In contrast, 740 of the 1,106 unemployed individuals had a routine medical checkup within the past year.

a. Specify the parameter of interest to the research team.

b. Set up the null and alternative hypotheses for testing whether there is a difference between the percentages of employed and unemployed people who had a recent routine medical checkup.

c. Compute the test statistic for the test.

d. Give the rejection region for the test using \(\alpha\ =\ .01\).

e. The research team reported the p-value for the test as p-value \(\approx\) 0. Do you agree?

f. Make the appropriate conclusion.

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QUESTION:

Likelihood of getting a routine medical checkup. Who is more likely to get a routine medical checkup—employed or unemployed people? To answer this question, a team of physicians and public health professors collected data on a sample of over 2,200 individuals (American Journal of Public Health, Jan. 2002). Of the 1,140 individuals who were employed, 642 visited a physician for a routine checkup within the past year. In contrast, 740 of the 1,106 unemployed individuals had a routine medical checkup within the past year.

a. Specify the parameter of interest to the research team.

b. Set up the null and alternative hypotheses for testing whether there is a difference between the percentages of employed and unemployed people who had a recent routine medical checkup.

c. Compute the test statistic for the test.

d. Give the rejection region for the test using \(\alpha\ =\ .01\).

e. The research team reported the p-value for the test as p-value \(\approx\) 0. Do you agree?

f. Make the appropriate conclusion.

ANSWER:

Step 1 of 8

(a)

Specify the parameter of interest.

The parameter of interest is the difference between the proportions of employed  and unemployed  people who had a recent routine check.

That is, the parameter of interest is .

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