d been 95% instead of 98%? interval would be ( 274. 406 ). en 500 instead of 200? (Assume the same sample proportion.) - interval would be (291. .389 ). d been 99% instead of 98%? e interval would be OD-

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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A survey of 200 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. The resuit of the survey is that 68 of the 200 students responded "yes." An approximate
98% confidence interval is (0.262, 0.418). Complete parts a throughd below.
a) How would the confidence interval change if the confidence level had been 95% instead of 98%?
The new confidence interval would be narrower. The new confidence interval would be (.274. 406)
(Round to three decimal places as needed.)
b) How would the confidence interval change if the sample size had been 500 instead of 200? (Assume the same sample proportion.)
The new confidence interval would be narrower. The new confidence interval would be (.291..389)
(Round to three decimal places as needed.)
c) How would the confidence interval change if the confidence level had been 99% instead of 98%?
The new confidence interval would be
V The new confidence interval would be D
(Round to three decimal places as needed.)
Transcribed Image Text:A survey of 200 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. The resuit of the survey is that 68 of the 200 students responded "yes." An approximate 98% confidence interval is (0.262, 0.418). Complete parts a throughd below. a) How would the confidence interval change if the confidence level had been 95% instead of 98%? The new confidence interval would be narrower. The new confidence interval would be (.274. 406) (Round to three decimal places as needed.) b) How would the confidence interval change if the sample size had been 500 instead of 200? (Assume the same sample proportion.) The new confidence interval would be narrower. The new confidence interval would be (.291..389) (Round to three decimal places as needed.) c) How would the confidence interval change if the confidence level had been 99% instead of 98%? The new confidence interval would be V The new confidence interval would be D (Round to three decimal places as needed.)
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