Question

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 equals 994n=994 and x equals 526x=526 who said "yes." Use a 90 %90% confidence level. LOADING... Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. Can you please breakdown I need the Error portion of this question

Answer #1

Solution :

Given that,

n = 994

x = 526

Point estimate = sample proportion = = x / n = 526 / 994 = 0.529

1 - = 1 - 0.529 = 0.471

At 90% confidence level the z is ,

= 1 - 90% = 1 - 0.90 = 0.10

/ 2 = 0.10 / 2 = 0.05

Z_{/2}
= Z _{0.05} = 1.645

Margin of error = E = Z_{
/ 2} *
((
* (1 -
)) / n)

= 1.645 * (((0.529 * 0.471) / 994)

= 0.026

Margin of error = E = 0.026

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