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Thirty-five percent of adult Americans are regular voters. A random sample of 250 adults in a medium-size college town were surveyed, and it was found that 110 were regular voters. Estimate the true proportion of regular voters with 90% confidence and comment on your results.

Respuesta :

Answer:

Hence the true proportion is (0.388, 0.492).

Step-by-step explanation:

Given n=250,

[tex]p= 110/250 =0.44[/tex]

[tex]a=0.1, |Z(0.05)|=1.645[/tex] (check standard normal table)  

So 90% CI is

[tex]p ± Z*√[p*(1-p)/n]\\0.44 ± 1.645*sqrt(0.44*(1-0.44)/250)\\ ( 0.388, 0.492)[/tex]