Is college worth it?: A poll was conducted to determine why Americans decide not to go to college. Of the 322 Americans who didn't go to college survey surveyed, 46% decided not to go to college because they couldn't afford it. a) Calculate a 90% confidence interval for the proportion of Americans who decide to not go to college because they couldn't afford it, and interpret the interval in context. Round your answers to 4 decimal places. lower bound: 0.5057 upper bound: 0.4143 Interpret the confidence interval in context: We are 90% confident that our confidence interval contains the sample proportion of Americans who choose not to go to college because they cannot afford it We are 90% confident that the proportion of all Americans who choose not to go to college because they cannot afford it is contained within our confidence interval 90% of Americans choose not to go to college because they cannot afford it b) Suppose we wanted the margin of error for the 90% confidence level to be about 1.5%. What sample size would you recommend for the survey? Round your answer appropriately. A survey should include at least people.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
icon
Related questions
Question
Is college worth it?: A poll was conducted to determine why Americans decide not to go to college. Of the
322 Americans who didn't go to college survey surveyed, 46% decided not to go to college because they
couldn't afford it.
a) Calculate a 90% confidence interval for the proportion of Americans who decide to not go to college
because they couldn't afford it, and interpret the interval in context. Round your answers to 4 decimal places.
lower bound: 0.5057
upper bound: 0.4143
Interpret the confidence interval in context:
O We are 90% confident that our confidence interval contains the sample proportion of Americans who
choose not to go to college because they cannot afford it
We are 90% confident that the proportion of all Americans who choose not to go to college because they
cannot afford it is contained within our confidence interval
90% of Americans choose not to go to college because they cannot afford it
b) Suppose we wanted the margin of error for the 90% confidence level to be about 1.5%. What sample size
would you recommend for the survey? Round your answer appropriately.
A survey should include at least
people.
Transcribed Image Text:Is college worth it?: A poll was conducted to determine why Americans decide not to go to college. Of the 322 Americans who didn't go to college survey surveyed, 46% decided not to go to college because they couldn't afford it. a) Calculate a 90% confidence interval for the proportion of Americans who decide to not go to college because they couldn't afford it, and interpret the interval in context. Round your answers to 4 decimal places. lower bound: 0.5057 upper bound: 0.4143 Interpret the confidence interval in context: O We are 90% confident that our confidence interval contains the sample proportion of Americans who choose not to go to college because they cannot afford it We are 90% confident that the proportion of all Americans who choose not to go to college because they cannot afford it is contained within our confidence interval 90% of Americans choose not to go to college because they cannot afford it b) Suppose we wanted the margin of error for the 90% confidence level to be about 1.5%. What sample size would you recommend for the survey? Round your answer appropriately. A survey should include at least people.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning