In a recent study into renaming Entity 51, 312 of 400 residents surveyed did not mind there being a name change vote. (a) At 85% confidence, construct a confidence interval to predict the true percentage of resi- dents that did not mind there being a name change vote. (b) Repeat this for 92% confidence. (c) Repeat this for 97.5% confidence. (d) Were any assumptions needed to answer the above questions. Why or why not?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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In a recent study into renaming Entity 51, 312 of 400 residents surveyed did not mind there being a name change vote.

(a) At 85% confidence, construct a confidence interval to predict the true percentage of resi- dents that did not mind there being a name change vote.

(b) Repeat this for 92% confidence.

(c) Repeat this for 97.5% confidence.

(d) Were any assumptions needed to answer the above questions. Why or why not?

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