Construct the 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. A. There is a 95% chance that the true value of
Construct the 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. A. There is a 95% chance that the true value of
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Construct the 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.
A. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
B. 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.
C. One has 95% confidence that the sample proportion is equal to the population proportion.
D. 95% of sample proportions 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 = 993 and x = 566 who said "yes." Use a 99% confidence
level.
Click the icon to view a table of z scores.
Transcribed Image Text:Z
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
24
25
2.6
27
28
2.9
3.0
3.1
3.2
3.3
3.4
3.50 and up
z
.00
5000
5398
5793
6179
6554
6915
7257
7580
7881
8159
8413
.8643
8849
z Score
1.645
2.575
0
9032
9192
9332
9452
9554
9641
9713
9772
9821
9861
9893
9918
9938
9953
9965
9974
9981
9987
9990
9993
9995
9997
9999
.00
Z
Area
0.9500
0.9950
Cumulative Area from the LEFT
.01
5040
5438
5832
6217
6591
6950
7291
7611
7910
8186
8438
8665
.8869
9049
9207
9345
9463
9564
9649
9719
9778
9826
9864
9896
9920
9940
.9955
9966
9975
9982
9987
9991
9993
9995
9997
01
.02
5080
5478
5871
.6255
6628
.6985
.7324
.7642
.7939
8212
8461
8686
8888
9066
9222
9357
9474
9573
9656
9726
9783
9830
9868
9898
9922
.9941
9956
9967
9976
9982
NOTE: For values of zabove 3.49, use 0.9999 for the area.
"Use these common values that result from interpolation:
9987
9991
9994
9995
9997
POSITIVE z Scores
02
03
5120
5517
5910
6293
.6664
.7019
7357
7673
7967
8238
8485
8708
8907
9082
9236
9370
9484
9582
9664
9732
9788
9834
9871
9901
9925
9943
9957
9968
9977
9983
9988
9991
9994
9996
9997
03
.04
5160
5557
5948
.6331
6700
7054
7389
7704
.7995
8264
8508
8729
8925
9099
9251
9382
9495
9591
.9671
9738
9793
9838
9875
9904
9927
9945
9959
9969
9977
9984
9988
9992
9994
.9996
9997
04
MacBook Pro
.05
5199
5596
5987
.6368
.6736
.7088
.7422
.7734
8023
8289
.8531
.8749
.8944
9115
9265
9394
9505
9599
9678
9744
9798
9842
9878
9906
9929
.9946
9960
.9970
9978
.9984
9989
9992
9994
.9996
.9997
05
.06
5239
5636
.6026
.6406
.6772
.7123
.7454
7764
.8051
8315
.8554
.8770
8962
9131
9279
9406
9515
.9608
.9686
9750
.9803
.9846
.9881
.9909
.9931
.9948
.9961
.9971
.9979
9985
9989
9992
9994
9996
.9997
.06
.07
5279
5675
6064
6443
6808
.7157
7486
.7794
.8078
8340
8577
8790
8980
.9147
.9292
9418
.9525
.9616
9693
.9756
.9808
.9850
.9884
.9911
.9932
9949
9962
.9972
9979
9985
.9989
9992
9995
9996
9997
07
.
.08
5319
5714
6103
6480
6844
7190
7517
7823
8106
8365
8599
8810
.8997
9162
9306
9429
9535
9625
.9699
9761
9812
9854
9887
9913
9934
9951
9963
9973
9980
9986
9990
9993
9995
9996
9997
.08
.09
5359
5753
6141
6517
6879
.7224
7549
7852
8133
8389
8621
8830
.9015
9177
9319
9441
9545
9633
9706
9767
9817
9857
9890
9916
.9936
9952
9964
9974
9981
.9986
9990
.9993
9995
9997
.9998
.09
Common Critical Values
Confidence Critical
Level
Value
0.90
0.95
0.99
1.645
1.96
2.575
Z
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
20
2.1
2.2
2.3
24
2.5
2.6
2.7
2.8
2.9
3.0
3.1
3.2
3.3
3.4
3.50 and up
2
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