MATH SOLVE

6 months ago

Q:
# 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

Accepted Solution

A:

Answer: 1067Step-by-step explanation:Given : The proportion of people polled answered yes to the question = P= 0.51Margin of error :E= 0.03Confidence interval = 95%Z-score for 95% confidence interval (from z-value table )z*=1.960Formula 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.