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Chapter 11: Q. 5.2 (page 713)

Sample surveys on sensitive issues can give different results depending on how the question is asked. A University of Wisconsin study randomly divided 2400 respondents into three groups. All participants were asked if they had ever used cocaine. One group of 800 was interviewed by phone; 21% said they had used cocaine. Another 800 people were asked the question in a one-on-one personal interview; 25% said “Yes.” The remaining 800 were allowed to make an anonymous written response; 28% said “Yes.”

2. Make a two-way table of responses about cocaine use by how the survey was administered

Short Answer

Expert verified

The two way table is :

CategoryYesNo
Direct0.210.79
One on one0.250.75
Anonymous0.280.72

Step by step solution

01

Given information

In a study, 2400 respondents into three groups. All participants were asked if they had ever used cocaine. One group of 800 was interviewed by phone; 21% said they had used cocaine. Another 800 people were asked the question in a one-on-one personal interview; 25% said “Yes.” The remaining 800 were allowed to make an anonymous written response; 28% said “Yes.”

02

Solution

We need to test the hypothesis that:

H0:p1=p2=p3

Against the alternative

H0:p1≠p2≠p3

where piis the proportion of people who take consume cocain in ithprocess.

The following is a two-way table for cocain consumers obtained using different methods :

CategoryYesNo
Direct0.210.79
One on one0.250.75
Anonymous0.280.72

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