One of the questions Rasmussen Reports included on a 2018 survey of 1,007 likely voters asked if the country is headed in the right direction. Representative data are shown in the DATAfile RightDirection. A response of Yes indicates that the respondent does think the country is headed in the right direction. A response of No indicates that the respondent does not think the country is headed in the right direction. Respondents may also give a response of Not Sure. a)The researcher want to develop a confidence interval for the proportion of likely voters who do think that the country is headed in the right direction. What is the random variable? b)What is the 95% confidence interval for the proportion of likely voters who do think that the country is headed in the right direction? c) The researcher want to develop a confidence interval for the proportion of likely voters who do not think that the country is headed in the right direction. What is the random variable? d) What is the 95% confidence interval for the proportion of likely voters who do not think that the country is headed in the right direction?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
icon
Concept explainers
Question

One of the questions Rasmussen Reports included on a 2018 survey of 1,007 likely voters asked if the country is headed in the right direction. Representative data are shown in the DATAfile RightDirection. A response of Yes indicates that the respondent does think the country is headed in the right direction. A response of No indicates that the respondent does not think the country is headed in the right direction. Respondents may also give a response of Not Sure.

a)The researcher want to develop a confidence interval for the proportion of likely voters who do think that the country is headed in the right direction. What is the random variable?

b)What is the 95% confidence interval for the proportion of likely voters who do think that the country is headed in the right direction?

c) The researcher want to develop a confidence interval for the proportion of likely voters who do not think that the country is headed in the right direction. What is the random variable?

d) What is the 95% confidence interval for the proportion of likely voters who do not think that the country is headed in the right direction?

DATAfile RightDirection.

Right Direction?
Not Sure
Yes
No
Yes
No
No
Yes
Yes
No
No
Yes
No
No
Not Sure
Yes
No
No
No
Yes
No
Not Sure
No
Yes
Yes
Yes
No
No
Yes
No
No
No
Not Sure
Yes
Yes
Yes
No
Yes
No
Yes
No
Yes
Yes
No
No
Yes
No
Not Sure
No
No
No
Yes
Not Sure
Yes
Yes
No
No
No
No
Yes
Not Sure
No
No
No
No
Yes
No
No
Yes
Yes
Yes
No
Yes
No
No
No
Yes
No
Yes
Yes
Yes
No
No
Yes
Yes
Yes
Yes
Yes
No
No
No
No
Yes
No
Yes
Yes
No
Yes
No
Yes
Yes
Yes
No
No
Yes
No
No
Yes
Yes
Yes
Yes
No
Yes
No
No
No
Yes
Yes
No
No
No
No
Yes
No
Yes
Yes
Yes
No
No
No
No
No
Yes
Yes
No
No
Yes
No
No
No
No
Yes
Yes
Not Sure
No
Yes
No
Yes
Yes
No
Yes
No
Yes
No
No
Yes
No
Yes
Yes
Yes
No
No
No
No
No
Yes
Yes
Yes
No
Yes
No
No
Yes
No
No
Yes
No
Yes
Yes
Yes
No
Yes
No
No
Not Sure
Not Sure
No
No
Not Sure
No
No
No
No
No
Yes
Yes
No
No
Not Sure
No
Yes
No
Yes
No
Yes
No
Yes
Not Sure
Not Sure
No
Yes
Yes
Yes
Yes
Yes
Not Sure
Yes
No
Yes
Yes
Not Sure
Not Sure
No
Yes
Yes
Yes
No
No
No
No
No
No
Not Sure
No
Yes
Yes
Yes
No
Yes
No
No
No
No
Yes
No
Yes
No
Yes
No
Yes
No
No
No
Not Sure
Yes
No
No
No
Not Sure
No
Yes
Yes
Yes
No
No
Not Sure
No
Yes
No
No
No
Not Sure
Yes
No
No
Yes
Yes
Yes
Yes
No
No
No
No
Not Sure
No
No
Yes
Yes
No
Yes
Yes
Yes
Yes
No
No
No
Yes
No
No
Yes
No
Yes
No
No
No
Yes
Yes
Not Sure
Yes
No
No
Yes
Yes
No
Yes
Yes
Yes
No
No
No
No
No
Yes
Yes
Yes
Yes
No
No
Yes
Yes
Yes
Yes
Yes
No
No
No
Yes
Yes
No
Yes
Yes
Yes
No
No
No
Yes
No
Yes
Not Sure
Yes
No
Yes
No
No
No
Yes
Yes
Yes
No
Yes
No
Yes
Yes
No
Yes
No
No
Yes
Yes
No
No
No
No
No
No
No
No
No
Yes
No
No
Yes
No
Yes
No
Not Sure
No
Yes
No
Yes
Not Sure
Yes
No
No
No
No
Yes
No
No
No
No
No
Yes
Yes
No
No
No
Yes
No
No
Yes
Yes
Yes
No
No
Yes
No
No
No
No
No
Yes
Yes
Yes
No
Yes
Yes
Yes
Yes
No
Yes
Not Sure
Yes
No
Not Sure
Yes
Yes
No
Yes
No
No
No
Yes
No
Yes
Yes
No
No
Not Sure
No
No
Yes
Yes
Yes
No
No
Yes
No
No
No
Not Sure
No
Not Sure
No
No
No
Yes
No
Yes
No
Yes
No
Yes
Yes
No
Yes
Yes
No
No
No
Yes
No
No
Not Sure
No
Yes
No
No
No
No
Yes
Yes
Yes
No
No
No
Yes
No
Yes
No
Yes
No
No
Yes
No
No
No
No
Yes
Yes
Yes
No
No
No
No
No
Yes
No
No
Yes
Yes
No
Yes
Yes
Not Sure
No
No
No
No
No
Not Sure
Yes
No
Not Sure
Yes
No
No
Yes
Yes
No
No
No
No
No
Yes
No
No
Not Sure
No
No
No
No
Yes
Yes
Yes
No
Yes
Yes
Not Sure
No
No
No
No
No
No
No
Yes
No
No
Yes
No
Yes
Yes
Yes
No
No
No
No
Yes
No
No
Yes
No
No
No
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
Not Sure
Yes
No
No
Not Sure
Yes
No
No
Yes
No
No
Yes
Yes
No
No
No
No
Yes
No
No
No
No
Yes
Yes
No
No
No
No
Not Sure
Yes
No
No
Yes
Yes
No
Not Sure
Yes
Yes
No
No
No
No
No
Yes
No
Yes
No
Yes
No
Yes
Yes
Yes
No
No
No
No
No
Not Sure
No
No
No
Yes
Not Sure
Yes
No
No
Yes
No
Yes
Yes
No
Not Sure
No
Yes
No
No
No
Yes
No
No
No
No
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
No
No
No
Yes
No
No
No
Yes
No
Yes
No
Not Sure
No
Yes
No
No
Yes
Not Sure
No
No
Yes
Yes
Yes
Yes
No
Yes
No
Yes
Not Sure
No
No
Yes
No
Yes
No
Yes
No
Yes
No
Yes
No
No
No
Yes
Yes
Yes
Yes
Yes
No
Yes
Not Sure
No
Yes
No
No
No
Yes
Yes
Yes
No
Yes
Not Sure
Yes
No
No
Yes
Yes
Yes
Yes
No
Not Sure
Yes
No
No
Yes
No
No
No
No
No
No
No
No
Yes
Yes
Yes
No
Yes
No
No
No
No
No
No
No
Yes
No
Yes
Yes
Not Sure
No
No
No
Yes
No
No
Yes
Yes
Yes
No
No
No
Yes
Yes
Yes
No
No
Yes
Yes
No
Yes
Yes
Not Sure
No
No
No
No
No
Yes
No
No
No
No
No
No
No
Not Sure
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
No
Yes
No
No
No
Yes
No
No
No
Not Sure
No
Yes
No
No
No
Yes
Yes
Not Sure
No
Yes
Yes
Yes
No
Yes
Not Sure
No
No
No
No
No
No
Yes
Yes
No
Yes
No
No
No
No
Yes
Yes
Not Sure
No
No
Yes
Not Sure
Yes
Yes
No
No
Not Sure
Not Sure
No
Yes
No
Yes
No
No
No
No
No
Yes
No
No
Yes
No
No
Yes
No
No
Yes
No
No
No
No
No
Yes
No
No
Yes
No
No
Yes
No
No
No
No
No
No
Not Sure
No
No
Yes
Yes
Not Sure
No
No
No
No
No
Not Sure
No
No
No
No
Not Sure
No
No
No
No
No
No
Yes
Yes
Yes
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
Not Sure
No
Not Sure
No
No
Yes
Not Sure
Yes
Yes
No
No
Yes
No
No
No
No
Yes
Yes
No
Yes
Yes
Yes
Not Sure
Yes
Yes
Yes
No
No
Yes
No
No
No
No
Yes
Yes
No
No
Yes
No
No
No
No
No
Yes
No
Yes
Yes
No
Not Sure
No
No
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 2 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON