According to a past poll conducted of Lexington residents, 52% indicated support for a light rail public transportation system within the city of Lexington. The sample size was 400 Lexington residents. Calculate a confidence interval for this poll using a 95% confidence level (using the formula for proportions). What is the range in which we would expect to find the true proportion of Lexington residents who support a light rail system? We will assume that the proportion from the total population is equal to the sample. If the sample size were to increase to 600 residents, what would happen to the confidence interval? Why?

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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According to a past poll conducted of Lexington residents, 52% indicated support for a light rail public transportation system within the city of Lexington. The sample size was 400 Lexington residents. Calculate a confidence interval for this poll using a 95% confidence level (using the formula for proportions). What is the range in which we would expect to find the true proportion of Lexington residents who support a light rail system? We will assume that the proportion from the total population is equal to the sample.

If the sample size were to increase to 600 residents, what would happen to the confidence interval? Why?

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