On the ballot, Illinois voters had the option to select "yes" or "No" when asked if the state’s minimum wage should be increased from $8.25 to $10 an hour by January 1, 2015. Before the actual voting date, a survey with a sample size of 50 found that 61.75% percent of respondents supported the minimum wage. Calculate the 95% and 90% confidence intervals for the minimum wage vote. After the election, the results of vote turned out that 62% percent voters answered “yes”. Do the confidence intervals include the true mean? If the true support rate is 0.6175, what is the sample size should be if we allow 0.05 of margin of error at 95% confidence level?
On the ballot, Illinois voters had the option to select "yes" or "No" when asked if the state’s minimum wage should be increased from $8.25 to $10 an hour by January 1, 2015. Before the actual voting date, a survey with a sample size of 50 found that 61.75% percent of respondents supported the minimum wage. Calculate the 95% and 90% confidence intervals for the minimum wage vote. After the election, the results of vote turned out that 62% percent voters answered “yes”. Do the confidence intervals include the true mean? If the true support rate is 0.6175, what is the sample size should be if we allow 0.05 of margin of error at 95% confidence level?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 5E
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On the ballot, Illinois voters had the option to select "yes" or "No" when asked if the state’s minimum wage should be increased from $8.25 to $10 an hour by January 1, 2015. Before the actual voting date, a survey with a
- Calculate the 95% and 90% confidence intervals for the minimum wage vote.
- After the election, the results of vote turned out that 62% percent voters answered “yes”. Do the confidence intervals include the true mean?
- If the true support rate is 0.6175, what is the sample size should be if we allow 0.05 of margin of error at 95% confidence level?
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