In market research, when populations of individuals or households are surveyed by mail questionnaires, it is important to achieve as high a response rate as possible. One way to improve response might be to include in the questionnaire an initial 'inducement question', intended to increase the respondent's interest in completing the questionnaire. Questionnaires containing an inducement question on the importance of recreation facilities in a city were sent to a sample of 250 households, yielding 101 responses. Otherwise identical questionnaires, but without the inducement question, were sent to an independent random sample of 250 households, producing 75 responses. Test the null hypothesis that the two population proportions of responses would be the same against the alternative that the response rate would be higher when the inducement question is included
In market research, when populations of individuals or households are surveyed by mail questionnaires, it is important to achieve as high a response rate as possible. One way to improve response might be to include in the questionnaire an initial 'inducement question', intended to increase the respondent's interest in completing the questionnaire. Questionnaires containing an inducement question on the importance of recreation facilities in a city were sent to a sample of 250 households, yielding 101 responses. Otherwise identical questionnaires, but without the inducement question, were sent to an independent random sample of 250 households, producing 75 responses. Test the null hypothesis that the two population proportions of responses would be the same against the alternative that the response rate would be higher when the inducement question is included
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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![In market research, when populations of individuals or households are surveyed by
mail questionnaires, it is important to achieve as high a response rate as possible.
One way to improve response might be to include in the questionnaire an initial
'inducement question', intended to increase the respondent's interest in completing
the questionnaire. Questionnaires containing an inducement question on the
importance of recreation facilities in a city were sent to a sample of 250 households,
yielding 101 responses. Otherwise identical questionnaires, but without the
inducement question, were sent to an independent random sample of 250
households, producing 75 responses. Test the null hypothesis that the two
population proportions of responses would be the same against the alternative that
the response rate would be higher when the inducement question is included
10](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F484779c0-6e34-4b12-8992-80446d8371fe%2Fc8da6fa9-f515-47ba-817e-0a6b2d04b412%2Fo72rfbv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In market research, when populations of individuals or households are surveyed by
mail questionnaires, it is important to achieve as high a response rate as possible.
One way to improve response might be to include in the questionnaire an initial
'inducement question', intended to increase the respondent's interest in completing
the questionnaire. Questionnaires containing an inducement question on the
importance of recreation facilities in a city were sent to a sample of 250 households,
yielding 101 responses. Otherwise identical questionnaires, but without the
inducement question, were sent to an independent random sample of 250
households, producing 75 responses. Test the null hypothesis that the two
population proportions of responses would be the same against the alternative that
the response rate would be higher when the inducement question is included
10
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