In a random sample of 500 U.S. adults, 60% said that they believe that the U.S. Congress fails to pass laws that benefit the lives of all Americans. Use these sample statistics to construct a 95% confidence interval for the proportion of all U.S. adults who believe that the U.S. Congress fails to pass laws that benefit the lives of all Americans.
In a random sample of 500 U.S. adults, 60% said that they believe that the U.S. Congress fails to pass laws that benefit the lives of all Americans. Use these sample statistics to construct a 95% confidence interval for the proportion of all U.S. adults who believe that the U.S. Congress fails to pass laws that benefit the lives of all Americans.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
![**Constructing a Confidence Interval for a Population Proportion**
In a random sample of 500 U.S. adults, 60% said that they believe that the U.S. Congress fails to pass laws that benefit the lives of all Americans. Use these sample statistics to construct a 95% confidence interval for the proportion of all U.S. adults who believe that the U.S. Congress fails to pass laws that benefit the lives of all Americans.
Give your answers as decimals, rounded to three decimal places.
[Textboxes for input]
\(\_\_\_\_\_\) < \( p \) < \(\_\_\_\_\_\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b06cc1a-670c-4da3-86c8-aa55d4f56c06%2Fe4dffa62-72d3-43fe-a5f8-e9823e2d668a%2F9oafcgm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Constructing a Confidence Interval for a Population Proportion**
In a random sample of 500 U.S. adults, 60% said that they believe that the U.S. Congress fails to pass laws that benefit the lives of all Americans. Use these sample statistics to construct a 95% confidence interval for the proportion of all U.S. adults who believe that the U.S. Congress fails to pass laws that benefit the lives of all Americans.
Give your answers as decimals, rounded to three decimal places.
[Textboxes for input]
\(\_\_\_\_\_\) < \( p \) < \(\_\_\_\_\_\)
Expert Solution
Step 1
Critical value:
Using Excel formula “=NORM.S.INV(1-(0.05/2))”, the value of z at 95% confidence level is obtained as 1.96.
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