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
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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

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ISBN:9781119256830

Author:Amos Gilat

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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.

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