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 1002 and x equals 523 who said​ "yes." Use a 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. nothing ​(Round to three decimal places as​ needed.)

​b) Identify the value of the margin of error E. Eequals nothing ​(Round to three decimal places as​ needed.)

​c) Construct the confidence interval. nothingless than p less than nothing ​(Round to three decimal places as​ needed.)

​d) Write a statement that correctly interprets the confidence interval.

Choose the correct answer below. A. 90​% of sample proportions will fall between the lower bound and the upper bound. B. One has 90​% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. C. One has 90​% confidence that the sample proportion is equal to the population proportion. D. There is a 90​% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

Answer 1

a)

best point estimate of the population proportion p =0.522

b)

value of the margin of error E =0.026

c)

confidence interval =0.496 < p < 0.548

d)B. One has 90​% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.