Researchers polled residents in Kent and Sussex counties and asked if they were in favor of increasing funding for the arts. In a random sample of 100 residents from Sussex County, 22% supported the increase and in a random sample of 100 residents from Kent County, 26% supported the increase. A 95% confidence interval for the difference (ps - pk) was calculated as -0.04 ± 0.12. Which of the following is the best interpretation of the interval?± −0.04±0.12 aWe are 95% confident that the difference in the sample proportions of voters in districts Sussex County and Kent County who favor an increase in state spending for the arts is between −0.16 and 0.08. bWe are 95% confident that the difference in the proportions of all voters in Sussex County and Kent County who favor an increase in state spending for the arts is between −0.16 and 0.08. cWe are 95% confident that the majority of all voters in the state favor an increase in state spending for the arts. dWe are 95% confident that the proportion of all voters in the state who favor an increase in state spending for the arts is between −0.16 and 0.08. eWe are 95% confident that less than half of all voters in the state favor an increase in state spending for the arts.

Name: Researchers polled residents in Kent and Sussex counties and asked if
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Researchers polled residents in Kent and Sussex counties and asked if they were in favor of increasing funding for the arts. In a random sample of 100 residents from Sussex County, 22% supported the increase and in a random sample of 100 residents fr

Confidence Interval CI = [-0.16,0.08]

Answered: −0.04±0.12 a We are 95% confident…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Topic Video

Question

Researchers polled residents in Kent and Sussex counties and asked if they were in favor of increasing funding for the arts. In a random sample of 100 residents from Sussex County, 22% supported the increase and in a random sample of 100 residents from Kent County, 26% supported the increase. A 95% confidence interval for the difference (p_s - p_k) was calculated as -0.04 ± 0.12. Which of the following is the best interpretation of the interval?

−0.04±0.12

a	We are 95% confident that the difference in the sample proportions of voters in districts Sussex County and Kent County who favor an increase in state spending for the arts is between −0.16 and 0.08.
b	We are 95% confident that the difference in the proportions of all voters in Sussex County and Kent County who favor an increase in state spending for the arts is between −0.16 and 0.08.
c	We are 95% confident that the majority of all voters in the state favor an increase in state spending for the arts.
d	We are 95% confident that the proportion of all voters in the state who favor an increase in state spending for the arts is between −0.16 and 0.08.
e	We are 95% confident that less than half of all voters in the state favor an increase in state spending for the arts.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc