Question

please round to 3 decimal places

This Question: 1 pt 2 of 24 (0 completo This Test: 24 pts possible Use the sample data and confidence level given below to complete parts (a) through (d). A research Institute poil asked respondents if they felt vulnerable to identity theft. In the pol, n 100 and x=570 who said yes. Use a 96% confidence level Click the icon to view a table of z scores a) Find the best point estimate of the population proportion Round to three decimal places as needed) dertly the value of the margin of error E. (Round to three decimal places as needed) c) Construct the confidence interval << (Round to three decimal places as needed) d) Write a statement that correct interprets the confidence interval. Choose the correct answer below. O A. One has 95% confidence that the sample proportion is equal to the population proportion O B. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound. O c. One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion OD 56% of sample proportions will fall between the lower bound and the upper bound Click to select your answer(s).

Answer 1

Date : . Given: na 1090 x = 570 (ca) ² - 2 $70 0.523 1090 * (b) Margin of Error (ME) z* ÑCI - Ø) n ME 1.96 0.523 x 0.477 logo ME Q. 030 z*= 1.96, at = 0.025 2 from z-table cc) The 95% confidence interval is * êt 2 Pci- ß n h ME 0.523 t 0.030 The 95%. confidence interval is (0.493 0.553) (d) one has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value the true value of the population proportion