A survey of adults in a certain country found that 71% believed that protecting the rights of those with unpopular views is a very important component of a strong democracy. Assume the sample size was 1300. Complete parts (a) through (f) below. a. How many people in the sample felt this way? The number of people in the sample that felt protecting the rights of those with unpopular views is a very important component of a strong democracy is (Round to the nearest integer as needed.)
Added by Nuria R.
Close
Step 1
Step 1: To find the number of people who felt this way, we need to calculate 71% of 1300. Show more…
Show all steps
Your feedback will help us improve your experience
Kevin Corkran-Itagaki and 95 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
a. How many people in the sample felt this way? The number of people in the sample that felt protecting the rights of those with unpopular views is a very important component of a strong democracy is (Round to the nearest integer as needed.)
Kevin C.
A 2017 survey of U.S. adults found that 74% believed that protecting the rights of those with unpopular views is a very important component of a strong democracy. Assume the sample size was 1000. a. How many people in the sample felt this way? b. Is the sample large enough to apply the Central Limit Theorem? Explain. Assume all other conditions are met. c. Find a 95% confidence interval for the proportion of U.S. adults who believe that protecting the rights of those with unpopular views is a very important component of a strong democracy. d. Find the width of the 95% confidence interval. Round your answer to the nearest tenth percent. e. Now assume the sample size was 4000 and the percentage was still 74%. Find a 95% confidence interval and report the width of the interval. f. What happened to the width of the confidence interval when the sample size was increased? Did it increase or decrease?
Kari H.
A 2017 survey of U.S. adults found that $74 \%$ believed that protecting the rights of those with unpopular views is a very important component of a strong democracy. Assume the sample size was 1000 . a. How many people in the sample felt this way? b. Is the sample large enough to apply the Central Limit Theorem? Explain. Assume all other conditions are met. c. Find a $95 \%$ confidence interval for the proportion of U.S. adults who believe that protecting the rights of those with unpopular views is a very important component of a strong democracy. d. Find the width of the $95 \%$ confidence interval. Round your answer to the nearest tenth percent. e. Now assume the sample size was 4000 and the percentage was still $74 \%$. Find a $95 \%$ confidence interval and report the width of the interval. f. What happened to the width of the confidence interval when the sample size was increased? Did it increase or decrease?
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD