Answer:
2239
Step-by-step explanation:
Given-
Percent of peopl polling yes to the question "Are you in favor of the death penalty for a person convicted of murder?" [tex]= 37[/tex]%
Margin error in the poll [tex]= 2[/tex]%
Confidence Interval [tex]= 95[/tex]%
The alpha value is [tex]1 -0.95 =0.05[/tex]
The [tex]z_\frac{\alpha }{2}[/tex] for Confidence Interval of [tex]95[/tex]% [tex]= 0.196[/tex]
The sample size is given by
[tex]n = p*q*(\frac{z}{e} )^2[/tex]
Where,
[tex]p = \frac{37}{100} = 0.37 q = 100-0.37 = 0.63 e =2/100 = 0.02 z = 1.96 (critical value)n = p*q*(\frac{z}{e} )^2 = 0.37 * 0.63(\frac{1.96}{0.02} )^2 \\n = 2238.69\\n= 2239[/tex]
