Is college worth it?: A poll was conducted to determine why Americans decide not to go to college. Of the 324 Americans who didn't go to college survey surveyed, 49% 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: 4442 upper bound:5358 Interpret the confidence interval in context: 90% of Americans 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 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 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 3024 X people. Submit All Parts

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...
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Is college worth it?: A poll was conducted to determine why Americans decide not to go to college. Of the
324 Americans who didn't go to college survey surveyed, 49% 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: 4442
upper bound: .5358
Interpret the confidence interval in context:
90% of Americans choose not to go to college because they cannot afford it
O 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
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
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 3024
X people.
Submit All Parts
Transcribed Image Text:Is college worth it?: A poll was conducted to determine why Americans decide not to go to college. Of the 324 Americans who didn't go to college survey surveyed, 49% 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: 4442 upper bound: .5358 Interpret the confidence interval in context: 90% of Americans choose not to go to college because they cannot afford it O 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 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 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 3024 X people. Submit All Parts
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