Exercise 1. Two independent simple random samples were taken on November 16th, 2020. One was a SRS of 250 voting-age residents of lowa City, IA, and the other was a SRS of 165 voting-age residents of Lincoln, NE. Each person sampled was asked whether they agreed with the statement, "President Trump should not yet concede the election." The results were as follows: lowa City: 122 agreed, Lincoln: 98 agreed. Researchers were interested in using these data to compare the lowa City and Lincoln population proportions agreeing with the statement. In particular, they wondered whether the data give evidence at the 0.01 level of a difference between the two population proportions.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section: Chapter Questions
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Exercise 1. Two independent simple random samples were taken on November 16th, 2020. One was a SRS of
250 voting-age residents of lowa City, IA, and the other was a SRS of 165 voting-age residents of Lincoln, NE.
Each person sampled was asked whether they agreed with the statement, "President Trump should not yet
concede the election." The results were as follows:
lowa City: 122 agreed, Lincoln: 98 agreed.
Researchers were interested in using these data to compare the lowa City and Lincoln population proportions
agreeing with the statement. In particular, they wondered whether the data give evidence at the 0.01 level of
a difference between the two population proportions.
(d) If a reader of the PV report of part (c) is willing to accept a 0.05 (rather than 0.01) probability of a Type I
error, would the conclusion change? If so, how would it change?
Transcribed Image Text:Exercise 1. Two independent simple random samples were taken on November 16th, 2020. One was a SRS of 250 voting-age residents of lowa City, IA, and the other was a SRS of 165 voting-age residents of Lincoln, NE. Each person sampled was asked whether they agreed with the statement, "President Trump should not yet concede the election." The results were as follows: lowa City: 122 agreed, Lincoln: 98 agreed. Researchers were interested in using these data to compare the lowa City and Lincoln population proportions agreeing with the statement. In particular, they wondered whether the data give evidence at the 0.01 level of a difference between the two population proportions. (d) If a reader of the PV report of part (c) is willing to accept a 0.05 (rather than 0.01) probability of a Type I error, would the conclusion change? If so, how would it change?
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