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kap26 [50]
3 years ago
8

In a​ poll, 37​% of the people polled answered yes to the question​ "Are you in favor of the death penalty for a person convicte

d of​ murder?" The margin of error in the poll was 2​%, and the estimate was made with 95​% confidence. At least how many people were​ surveyed?
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
5 0

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?" = 37%

Margin error in the poll  = 2%

Confidence Interval = 95%

The alpha value is 1 -0.95 =0.05

The z_\frac{\alpha }{2} for Confidence Interval of 95% = 0.196

The sample size is given by

n = p*q*(\frac{z}{e} )^2

Where,

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

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