Question

A research institute poll asked respondents if they felt vulnerable to identity theft.  In the poll, n=926 and x=552 who said "yes".  Use a 99% confidence level.  

A) Find the best point estimate of the population P. (Round to three decimal places as needed)

B) Identify the value of margin of error E. ________ (Round to four decimal places as needed)

C) Construct a confidence interval. ___ < p <. (Round to three decimal places as needed)

D) Write a statement that correctly interprets the confidence interval. Choose the correct answer below

Answer 1

Total number of sample (n) = 926
number of favourable events (X) = 552
A)
Sample proportion () = 0.5961

C) Sample size (n) = 926
Confidence interval(in %) = 99
z @ 99% = 2.576
Since we know that

Required confidence interval = (0.5961-0.0415, 0.5961+0.0415)
Required confidence interval = (0.5546, 0.6376)
D) We have 99 % confidence that the true proportion of repondent that felt vulnerable to identity theft will fall in the interval (0.5546, 0.6376).
Please hit thumps up if the answer helped you.