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