Answer :
The sample size collected for the survey using a given margin of error and confidence interval equal to 1890.
As given in the question,
Margin of error ' MOE' = 2%
= 0.02
Sample proportion 'p'= 69%
= 0.69
1 - p = 1 - 0.69
= 0.31
Confidence interval = 94%
Confidence level 'α'= (100-94)%
= 6%
= 0.06
Critical value is [tex]z_{\alpha /2}[/tex] = [tex]z_{0.03}[/tex]
= 1.88
Sample size 'n' = p( 1 - p ) ( [tex]z_{\alpha /2}[/tex] / MOE)²
= 0.69 (0.31) (1.88/ 0.02)²
= 1890.0204
≈ 1890
Therefore, for the given margin of error and confidence interval the sample size collected for the survey is equal to 1890.
The above question is incomplete , the complete question is :
In a poll, 69% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of
murder?" Gallo is willing the margin of error in the poll was 2%, and wish to be no less than 94% confident of the result. how many surveys should they collect for their sample?
Learn more about sample size here
brainly.com/question/25894237
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