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n a​ poll, 51​% of the people polled answered yes to the question​ "Are you in favor of the death penalty for a person convicted of​ murder?" The margin of error in the poll was 3​%, and the estimate was made with 95​% confidence. At least how many people were​ surveyed? The minimum number of surveyed people was nothing. ​(Ro

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JeanaShupp

Answer: 1067

Step-by-step explanation:

Given : The proportion of  people polled answered yes to the question = P= 0.51

Margin of error :E= 0.03

Confidence interval = 95%

Z-score for 95% confidence interval (from z-value table )z*=1.960

Formula to find the sample size is given  by :-

[tex]p(1-p)(\dfrac{z*}{E})^2[/tex]

Substitute the value of p and E  then, we have

[tex]0.51(1-0.51)(\dfrac{1.960}{0.03})^2\\\\=0.2499(65.3333333333)^2\\\\=1066.68426667\approx1067[/tex]

Hence, The minimum number of surveyed people was 1067.

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