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 990 and x 599 who said "yes." Use a 90% confidence level. Click the icon to view a table of z scores a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.) b) Identify the value of the margin of error E. 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 correctly interprets the confidence interval. Choose the correct answer below. O A. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound. OB. 90% of sample proportions will fall between the lower bound and the upper bound. O c. One has 90% confidence that the sample proportion is equal to the population proportion OD. 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.

Answer 1

Solutions The provided fofonction is as fulleres sample size or 990 aumber of favorable cases X = 599 Sample proportion ht X - 599 = 0.60.50 ggo confidence level lagë origo de 0..10 n a) Eind the best point estimate of the populatices proportion pi The paint estimate for population for population proportion p SS given ass 0-605 X = 599 ggo Identify the value of the moogin of error The margin of emor for population proportion is given sisus 18) E = Zcx n Based on the provided information the significance level is and the entical value for XE TO is Zcs 1.6.45 20:10

E = 1.69.5x10.605 (1-0.605) ggo 0.025557863 E = 0.026. c) constrict the confidence is tenal. The 90% confidence intenal for the population proportion is given as, ст. Ô t2c fltp n قد كما 2x -ها (p - Margin of Enor, åt morgin of foor = ($- Ë Pte) (0.605 -0.026, 0.605 +0.026) CI- (0.579, 0-631) 0.579 <p<0.63) d) Koto Hdmite a statement that conectly Polarpres the confidence internal. The go% confidence internal for the population proportion is 0.579 <p< 0.63 Therefore, "There is go% chance that the the value of the population Aryallation will fall between the lower bound and the uppex bound Therefore option A is the correct option