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
icon
Related questions
Question

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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning