A poll was conducted using a sample of 2500 registered voters to determine what proportion of voters are planning to vote for the incumbent president in the upcoming election. The pollsters reported, “We are 95% confident that the true proportion of registered voters that will vote for the incumbent president is within the interval 0.465 to 0.545.” What is meant by 95% confidence? (A) The pollsters used a method that is guaranteed to capture the true voting preference of 95% of the registered voters. (B) The pollsters used a method that will capture the true population proportion in about 95% of all possible confidence intervals based upon random samples of size 2500 from this population. (C) The pollsters can be 95% confident that the incumbent president will receive 50.5% of the vote and will win the election. (D) There is a 95% chance that the interval (0.465, 0.545) contains the true proportion of voters that are planning to vote for the incumbent president. (E) If the pollsters take many random samples of size 2500 from this population, about 95% of the resulting intervals will contain 0.505.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
icon
Related questions
Question

A poll was conducted using a sample of 2500 registered voters to determine what proportion of voters are planning to vote for the incumbent president in the upcoming election. The pollsters reported, “We are 95% confident that the true proportion of registered voters that will vote for the incumbent president is within the interval 0.465 to 0.545.” What is meant by 95% confidence?

  • (A) The pollsters used a method that is guaranteed to capture the true voting preference of 95% of the registered voters.
  • (B) The pollsters used a method that will capture the true population proportion in about 95% of all possible confidence intervals based upon random samples of size 2500 from this population.
  • (C) The pollsters can be 95% confident that the incumbent president will receive 50.5% of the vote and will win the election.
  • (D) There is a 95% chance that the interval (0.465, 0.545) contains the true proportion of voters that are planning to vote for the incumbent president.
  • (E) If the pollsters take many random samples of size 2500 from this population, about 95% of the resulting intervals will contain 0.505.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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.
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
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning