A study considered the question, "Are you a registered voter?" Accuracy of response was confirmed by a check of city voting records. Two methods of survey were used: a face-to-face interview and a telephone interview. A random sample of 100 people were asked the voter registration question face to face. Of those sampled, seventy-six respondents gave accurate answers (as verified by city records). Another random sample of 84 people were asked the same question during a telephone interview. Of those sampled, seventy-three respondents gave accurate answers. Assume the samples are representative of the general population. (a) Categorize the problem below according to parameter being estimated, proportion p, mean µ, difference of means µ1 - 42, or difference of proportions p1 - P2. Then solve the problem. P1 - P2 (b) Let p, be the population proportion of all people who answer the voter registration question accurately during a face-to-face interview. Let p2 be the population proportion of all people who answer the question accurately during a telephone interview. Find a 90% confidence interval for p1 - P2: (Use 3 decimal places.) lower limit upper limit

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