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 - )) $\sqrt$ / n)

= 1.96 ( $\sqrt$ ((0.397 * 0.603) / 1223)

= 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 1 year ago

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