Use the sample data and confidence level given below to complete parts? (a) thro

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 987 and x equals 586 who said? "yes." Use a 90 % confidence level.

lake a lest-conner Heath -Gocqle cnrome Serure https://wwww.mathxl Math 1635 Summer 2018 erTest.aspx?testld 180013 Conner Heath 718/18 6:32 PM Quiz: Quiz 3 Submit Qulz This Question: 1 pt 47of 10 (1 complete)> This Quiz: 10 pts possible Use the sample data and confidence level givern below to complete parts (a) through (d). Ares arch stitute p 1 asked respondents if they relt in able to identity theft in the poll EEB Click the icon to view a table of z scores a) Find the beat point est mate ot the pnp lation proportion p 967 and x 508 who said c usc a 0 % confidence I vol Round to threc decimal places as nooded) b) Identify the value of the rai of errOr E Round to three decimal places as needed. c) Construct the confidence interval. Round to three decimal pleces as needed.) d) Write a statement that correctly interprets 1h cnt dence interval Choose the correct answer below ?A. There is a g % chance that the true value of the population proportion will fall her ween the lower bound and lhe upper bound One has 90% confid-nce that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. 90% of sample proportions wil fall between the lower bound and the upper bound. On has 90% confidencs that the sampk; poportion is ugual lu the population proportion. O B. C. D. Click to select your answerfs). :31 PM O Type here to search

Explanation / Answer

z value at 90% = 1.645

p = 586/987 = 0.594
n = 987

a)

p = 0.594

b)

E = z *sqrt(p*(1-p)/n)
= 1.645 *sqrt(0.594 *(1-0.594)/987)
= 0.026

c)

CI = p +/- E
= 0.594 +/- 0.026
= (0.568 , 0.62 )

d)

Option A)

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