Respuesta :
The sample size for estimating the proportion is 2637.
Given,
How many people should be included in the sample if we want to have 96% confidence that our sample proportion will be within 0.02 of the true fraction of the voting population given the data?
E = 0.02
c = 96% = 0.96
[tex]\hat p[/tex] or P = 0.5 (We have no idea about P, in this case, take P = 0.5)
[tex]\hat p[/tex] = 1 - [tex]\hat p[/tex] = 0.5
Now,
α = 1 - c = 1 - 0.96 = 0.04
α/2 = 0.04/2 = 0.02
⇒ α/2 = 2.054 (using z table)
The sample size for estimating the proportion is given by,
[tex]n = Z^2_\alpha _/_2P(1-P)/E^2[/tex]
= (2.054/0.02)2 * 0.5 * 0.5
= 2636.8
= 2637
Hence, the size of sample is 2637.
To learn more about sample size click here:
brainly.com/question/25894237
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