Question
In: Statistics and Probability
CBS News Poll. (March 8-11, 2018) asked "Do you favor or oppose building a wall along...
CBS News Poll. (March 8-11, 2018) asked "Do you favor or oppose
building a wall along the U.S.-Mexico border to try to stop illegal
immigration?"
485 were in favor, sample size was N=1,223. Construct the 95%
confidence interval.
A. (0.369, 0.424)
B. (0.639, 0.742)
C. (0.229, 0.544)
D. (0.25, 0.75)
Solutions
Expert Solution
Solution :
Given that,
n = 1223
x = 485
Point estimate = sample proportion = 
= x / n = 485 / 1223 = 0.397
1 -
= 1 - 0.397 = 0.603
At 95% confidence level
= 1 - 95%
=1 - 0.95 =0.05
/2
= 0.025
Z/2
= Z0.025 = 1.960
Margin of error = E = Z
/ 2 * ((
* (1 -
))
= 1.96 (
= 0.0274
A 95% confidence interval for population proportion p is ,
± E
= 0.397 ± 0.02742
= ( 0.369, 0.424 )
correct option is = A
orchestra answered 2 years agoRelated Solutions
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