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StatisticsQ&A LibraryThe article “HIV-positive Smokers Considering Quitting: Differences by Race/Ethnicity” (E. Lloyd-Richardson, C. Stanton, et al., Am J Health Behav, 2008:3–15) reported that in a group of 230 European-American HIV-positive smokers, 102 of them had used a nicotine patch to try to quit smoking, and in a group of 72 Hispanic-American HIV-positive smokers, 20 had used a nicotine patch. Can you conclude that the proportion of patch users is greater among European-Americans?Question

Asked Feb 22, 2020

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The article “HIV-positive Smokers Considering Quitting: Differences by Race/Ethnicity” (E. Lloyd-Richardson, C. Stanton, et al., Am J Health Behav, 2008:3–15) reported that in a group of 230 European-American HIV-positive smokers, 102 of them had used a nicotine patch to try to quit smoking, and in a group of 72 Hispanic-American HIV-positive smokers, 20 had used a nicotine patch. Can you conclude that the proportion of patch users is greater among European-Americans?

Step 1

Note: here, MINITAB software is used to obtain the hypothesis test for proportion.

In a group of 230 European-American HIV-positive smokers, 102 of them had used a nicotine patch to try to quit smoking. That is, X=102and n_{X}=230.

In a group of 72 Hispanic-American HIV-positive smokers, 20 had used a nicotine patch. That is, Y=20 and n_{Y}=72.

For European-American HIV-positive smokers,

Step 2

Assumptions:

- The samples are independent.
- There are at least 10 success and 10 failures for each samples.

Here, the samples are independent.

Verify the condition:

European-American HIV-positive smokers:

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