Assume that all necessary conditions were met for creating a confidence interval for a proportion. Suppose the proportion was for a study involving highschool students, and a 95% confidence interval for the proportion of all highschoolers that use public libraries was correctly calculated to be (0.71,0.79) a) In a sentence, describe what statistic is being used to construct the confidence interval? Use both the value and the statistics symbol in your sentence. b) Using the same statistics from the last question, and the same sample is used to create a 92% confidence interval, would the margin of error of this be lesser than the margin of error in the 95% confidence interval? Explain

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Assume that all necessary conditions were met for creating a confidence interval for a proportion. Suppose the proportion was for a study involving highschool students, and a 95% confidence interval for the proportion of all highschoolers that use public libraries was correctly calculated to be (0.71,0.79)

a) In a sentence, describe what statistic is being used to construct the confidence interval? Use both the value and the statistics symbol in your sentence.

b) Using the same statistics from the last question, and the same sample is used to create a 92% confidence interval, would the margin of error of this be lesser than the margin of error in the 95% confidence interval? Explain

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