A town is organizing its annual festival. Last year it invited the local band Jim & Kim and it was a huge success. The mayor is wondering whether to invite the band again, or whether the audience may prefer a new band. Realizing that the adults and the kids may have different preferences, she surveys them separately, asking them, “Should we invite Jim & Kim this year?” She finds that: Group  Number of respondents   Number of “yes” Adults.       321                              246 Kids           430                              385 Construct a 95% confidence interval for the difference between proportions of “yes” for the two groups of people.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Question 4.
A town is organizing its annual festival. Last year it invited the local band Jim & Kim and it was a huge
success. The mayor is wondering whether to invite the band again, or whether the audience may prefer
a new band. Realizing that the adults and the kids may have different preferences, she surveys them
separately, asking them, “Should we invite Jim & Kim this year?” She finds that:
Group  Number of respondents   Number of “yes”
Adults.       321                              246
Kids           430                              385
Construct a 95% confidence interval for the difference between proportions of “yes” for the two groups
of people.
 
 

 

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