Use the sample data and confidence level given below to complete parts (a) through (d).
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=1025 and x=520 who said "yes." Use a 90% confidence level.
a) Find the best point estimate of the population proportion p.
=0.507
b) Identify the value of the margin of error E.
E=
Solution:- Given that n=1025 and x=520
90% confidence interval for the Z = 1.645
a. population proportion p = x/n = 520/1025 = 0.507
b. margin of error = Z*sqrt(pq/n)
= 1.645*sqrt(0.507*0.493/1025)
= 0.0257
C. 90% confidece interval for the population proportion p = p +/- E
= 0.507 +/- 0.0257
= 0.4813 , 0.5327
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