Question 3 D Two voting districts, C and M, were sampled to investigate voter opinion about tax spending. From a random sample of 100 voters in District C, 22 percent responded yes to the question "Are you in favor of an increase in state spending on the arts?" An independent random sample of 100 voters in District M resulted in 26 percent responding yes to the question. A 95 percent confidence interval for the difference (p. - Pm) was calculated as -0.04 ±0.12. Which of the following is the best interpretation of the interval? A We are 95% confident that the majority of all voters in the state favor an increase in state spending for the arts. We are 95% confident that less than half of all voters in the state favor an increase in state spending for the arts. We are 95% confident that the difference in the proportions of all voters in districts C and M who favor an increase in state spending for the arts is between -0.16 and 0.08. We are 95% confident that the difference in the sample proportions of voters in districts C and M who favor an increase in state spending for the arts is between -0.16 and D. 0.08 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
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Question 3
Two voting districts, C and M, were sampled to investigate voter opinion about tax spending. From a random sample of 100 voters in District C, 22 percent responded yes to the question "Are you
in favor of an increase in state spending on the arts?" An independent random sample of 100 voters in District M resulted in 26 percent responding yes to the question. A 95 percent confidence
interval for the difference (p, - p.) was calculated as-0.04±0.12. hich of the following is the best interpretation of the interval?
We are 95% confident that the majority of all voters in the state favor an increase in state spending for the arts.
St
We are 95% confident that less than half of all voters in the state favor an increase in state spending for the arts.
We are 95% confident that the difference in the proportions of all voters in districts C and M who favor an increase in state spending for the arts is between 0.16 and 0.08.
We are 95% confident that the difference in the sample proportions of voters in districts C and M who favor an increase in state spending for the arts is between-0.16 and
D
0.08.
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
844 PM
5/2/2021
o つ 曲#a
Type here to search
పఇఖాలు
40
backspace
5
6
%24
Transcribed Image Text:Question 3 Two voting districts, C and M, were sampled to investigate voter opinion about tax spending. From a random sample of 100 voters in District C, 22 percent responded yes to the question "Are you in favor of an increase in state spending on the arts?" An independent random sample of 100 voters in District M resulted in 26 percent responding yes to the question. A 95 percent confidence interval for the difference (p, - p.) was calculated as-0.04±0.12. hich of the following is the best interpretation of the interval? We are 95% confident that the majority of all voters in the state favor an increase in state spending for the arts. St We are 95% confident that less than half of all voters in the state favor an increase in state spending for the arts. We are 95% confident that the difference in the proportions of all voters in districts C and M who favor an increase in state spending for the arts is between 0.16 and 0.08. We are 95% confident that the difference in the sample proportions of voters in districts C and M who favor an increase in state spending for the arts is between-0.16 and D 0.08. 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 844 PM 5/2/2021 o つ 曲#a Type here to search పఇఖాలు 40 backspace 5 6 %24
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