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= 967 and x = 560 who said "yes." Use a 99% 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=D (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. 99% of sample proportions will fall between the lower bound and the upper bound. O B. One has 99% confidence that the sample proportion is equal to the population proportion. OC. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. O D. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

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Question
POSITIVE z Scores
Standard Normal (2) Distribution: Cumulative Area from the LEFT
00
03
04
00
so0 S120 S160
S1
535
00
01
5478 S517 S57 SS S
S714
5753
01
02
5790
103
6141
02
03
8179
8217
255
6331
443
6517
03
04
4700
679
04
0.5
J 7123
7157
7190
7224
0.5
0.
724
7367
744
746
7S17
7549
07
7580
7611
J642
7704
734 764
7852
07
7681
106
8133
08
0.9
8159
8186
212
8264
時
8340
0.9
10
413
577
M21
10
1.1
70 AT729
M10
1.1
07 es
12
44
12
1.3
9032
S115
131
147
9162
177
13
14
14
1.5
3418
3441
1.5
14
s43 474
344
45
16
1.7
9554 564 3
591
17
18
18
1.9
3713
S732
9738
9744
1.9
20
20
21
21
22
22
23
s 01
0 011
23
24
es
24
25
25
26
26
27
071
27
28
28
29
29
30
987
0
3.0
31
31
32
32
33
33
34
34
3.50. nd up
350 and up
00
04
07
08
Standard Normal (2) Distribution: Cumulative Area from the LEFT
Transcribed Image Text:POSITIVE z Scores Standard Normal (2) Distribution: Cumulative Area from the LEFT 00 03 04 00 so0 S120 S160 S1 535 00 01 5478 S517 S57 SS S S714 5753 01 02 5790 103 6141 02 03 8179 8217 255 6331 443 6517 03 04 4700 679 04 0.5 J 7123 7157 7190 7224 0.5 0. 724 7367 744 746 7S17 7549 07 7580 7611 J642 7704 734 764 7852 07 7681 106 8133 08 0.9 8159 8186 212 8264 時 8340 0.9 10 413 577 M21 10 1.1 70 AT729 M10 1.1 07 es 12 44 12 1.3 9032 S115 131 147 9162 177 13 14 14 1.5 3418 3441 1.5 14 s43 474 344 45 16 1.7 9554 564 3 591 17 18 18 1.9 3713 S732 9738 9744 1.9 20 20 21 21 22 22 23 s 01 0 011 23 24 es 24 25 25 26 26 27 071 27 28 28 29 29 30 987 0 3.0 31 31 32 32 33 33 34 34 3.50. nd up 350 and up 00 04 07 08 Standard Normal (2) Distribution: Cumulative Area from the LEFT
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= 967 and x = 560 who said "yes." Use a 99% confidence level.
E Click the icon to view
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=D
(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. 99% of sample proportions will fall between the lower bound and the upper bound.
O B. One has 99% confidence that the sample proportion is equal to the population proportion.
Oc. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
O D. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
Transcribed Image Text: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= 967 and x = 560 who said "yes." Use a 99% confidence level. E Click the icon to view 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=D (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. 99% of sample proportions will fall between the lower bound and the upper bound. O B. One has 99% confidence that the sample proportion is equal to the population proportion. Oc. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. O D. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
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