In a poll of 1000 randomly selected voters in a local election, 288 voters were in favor of fire department bond measures. What is the 95% confidence interval? [ Ex: 0.123 , Ex: 0.123 ] [smaller value, larger value]

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3BGP
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Critical values for quick reference during this activity.
Confidence level Critical value
0.90
z* = 1.645
0.95
1.960
0.99
z* = 2.576
Jump to level 1
In a poll of 1000 randomly selected voters in a local election, 288 voters were
in favor of fire department bond measures.
What is the 95% confidence interval? [Ex: 0.123 , Ex: 0.123 ]
[smaller value, larger value]
Transcribed Image Text:Critical values for quick reference during this activity. Confidence level Critical value 0.90 z* = 1.645 0.95 1.960 0.99 z* = 2.576 Jump to level 1 In a poll of 1000 randomly selected voters in a local election, 288 voters were in favor of fire department bond measures. What is the 95% confidence interval? [Ex: 0.123 , Ex: 0.123 ] [smaller value, larger value]
Expert Solution
Step 1

Given data,

n=1000

x=288

sample proportion p=xn=2881000=0.288

 

z-value at 95% confidence is Zc=1.96

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