Answered: A study considered the question, "Are…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 8E

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Question

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 89 people were asked the voter registration question face to face. Of those sampled, seventy-five respondents gave accurate answers (as verified by city records). Another random sample of 88 people were asked the same question during a telephone interview. Of those sampled, seventy-two 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 ?, difference of means ?₁ – ?₂, or difference of proportions p₁ – p₂. Then solve the problem.

p p₁ – p₂ ? ?₁ – ?₂

(b) Let p₁ 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.)