Assume we had no prior knowledge about the true proportion π. We want to construct a 95% confidence interval for π with margin of error 2%. How large a sample is needed? How does the sample size change if we want to be 99% confident?

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?
icon
Related questions
Topic Video
Question

1. In an TV poll, 56% of 2,000 randomly selected voters in Delhi said they would vote for the incumbent in a certain two-person race:

Assume we had no prior knowledge about the true proportion π. We want to construct a 95%
confidence interval for π with margin of error 2%. How large a sample is needed? How does the
sample size change if we want to be 99% confident?

 

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning