The National AIDS Behavioral Surveys interviewed a sample of adults in the citie

Question

The National AIDS Behavioral Surveys interviewed a sample of adults in the cities where AIDS is most common. This sample included 803 heterosexuals who reported having more than one sexual partner in the past year. We can consider this an SRS of size 803 from the population of all heterosexuals in high-risk cities who have multiple partners. These people risk infection with the AIDS virus. Yet 304 of the respondents said they never use condoms. Is this strong evidence that more than one-third of this population never use condoms?

FORMULATE: Take p to be the proportion of heterosexuals who never use condoms among all high-risk heterosexuals. Which of the following hypotheses do we wish to test?

H0:p=13H0:p=13 and Ha:p<13Ha:p<13

H0:p=13H0:p=13 and Ha:p>13Ha:p>13

H0:p=13H0:p=13 and Ha:p13Ha:p13

H0:p13H0:p13 and Ha:p=13Ha:p=13

Explanation / Answer

H0:p=1/3 and Ha:p>1/3

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