(b) Let p, represent the population proportion of all people with recent charges of drunken driving who respond accurately to a face-to- face interview asking if they have been charged with drunken driving during the past 12 months. Let p2 represent the population proportion of all people who respond accurately to the question when it is asked in a telephone interview. Find a 90% confidence interval for p1 - P2: (Use 3 decimal places.) lower limit unner limit

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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 27 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 27 people interviewed face to face,
16 answered the question accurately. The second random sample consisted of 50 people who had been charged with drunken driving. During a
telephone interview, 30 of these responded accurately to the question asking if they had been charged with drunken driving during the past 12
months. Assume the samples are representative of all people recently charged with drunken driving.
(a) Categorize the problem below according to parameter being estimated, proportion p, mean u, difference of means H1 - H2, or
difference of proportions p, - P2. Then solve the problem.
O P1 - P2
O H1 - H2
O P
(b) Let p, represent the population proportion of all people with recent charges of drunken driving who respond accurately to a face-to-
face interview asking if they have been charged with drunken driving during the past 12 months. Let p2 represent the population
proportion of all people who respond accurately to the question when it is asked in a telephone interview. Find a 90% confidence interval
for P1 - P2: (Use 3 decimal places.)
lower limit
upper limit
Transcribed Image Text: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 27 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 27 people interviewed face to face, 16 answered the question accurately. The second random sample consisted of 50 people who had been charged with drunken driving. During a telephone interview, 30 of these responded accurately to the question asking if they had been charged with drunken driving during the past 12 months. Assume the samples are representative of all people recently charged with drunken driving. (a) Categorize the problem below according to parameter being estimated, proportion p, mean u, difference of means H1 - H2, or difference of proportions p, - P2. Then solve the problem. O P1 - P2 O H1 - H2 O P (b) Let p, represent the population proportion of all people with recent charges of drunken driving who respond accurately to a face-to- face interview asking if they have been charged with drunken driving during the past 12 months. Let p2 represent the population proportion of all people who respond accurately to the question when it is asked in a telephone interview. Find a 90% confidence interval for P1 - P2: (Use 3 decimal places.) lower limit upper limit
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