A researcher studied the accuracy of responses on questions involving sensitive material. From public records, individuals were identified as having been charged with drunken driving not less than 6 months or more than 12 months from the starting date of the study. Two random samples from this group were studied. In the first sample of 39 individuals, the respondents w
A researcher studied the accuracy of responses on questions involving sensitive material. From public records, individuals were identified as having been charged with drunken driving not less than 6 months or more than 12 months from the starting date of the study. Two random samples from this group were studied. In the first sample of 39 individuals, the respondents were asked in a face-to-face interview if they had been charged with drunken driving in the last 12 months. Of these 39 people interviewed face-to-face, 21 answered the question accurately. The second random sample consisted of 41 people who had been charged with drunken driving. During a telephone interview, 23 of these responded accurately to the question asking if they had been charged with drunken driving during the past 12 months. Assume that the samples are representative of all people recently charged with drunken driving. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some cases, this choice will increase the P-value by a small amount or increase the length of the confidence interval, thereby making the answer slightly more "conservative."
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(b) Test the claim that there is a difference in the proportion of accurate responses from face-to-face interviews compared with the proportion of accurate responses from telephone interviews. Use ? = 0.05.
(iii) Find the P-value. (Round your answer to four decimal places.)
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