What is the z* critical value for constructing an 88% confidence interval for a proportion? Find the z-table here. 1.17 1.28 1.55 1.65

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question

What is the z* critical value for constructing an 88% confidence interval for a proportion?

Find the z-table here.

1.17
1.28
1.55
1.65
 
 
Table entry for z is the area under the standard Normal curve to the left of z.
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.5279
.5359
.5753
0.0
.5000
.5040
.5080
.5120
.5160
.5199
.5239
.5319
0.1
.5398
.5438
.5478
.5517
.5557
.5596
.5636
.5675
.5714
0.2
.5832
.5871
.5910
.5987
.6141
.5793
.6179
.5948
.6026
.6064
.6103
.6517
.6879
.7224
0.3
.6217
.6255
.6293
.6331
.6368
.6406
.6443
.6480
.6808
.7157
.6554
.6628
.6700
.6772
.6844
.7190
.6591
.6664
.6736
0.4
0.5
0.6
.7088
.7422
.7123
.6915
7257
.6950
.6985
.7324
.7019
.7357
.7054
7389
.7291
.7454
.7486
.7517
7549
0.7
.7580
.7611
.7642
.7673
.7704
.7734
.7764
.7794
.7823
.7852
.7939
.7995
.8078
.8340
0.8
.7881
.7910
.7967
.8023
.8051
.8106
.8133
0.9
.8159
.8186
.8212
.8238
.8264
.8289
.8315
.8365
.8389
.8438
.8665
.8869
.8485
.8708
.8907
.9082
.8508
.8729
.8554
.8770
1.0
.8413
.8461
.8531
.8577
.8599
.8621
.8830
.9015
1.1
.8686
.8749
.8790
.8810
.8643
.8849
1.2
.8888
.8925
.8944
.8962
.8980
.8997
.9131
.9162
.9032
.9192
1.3
.9049
.9066
.9099
.9115
.9147
.9177
.9265
.9394
1.4
.9207
.9222
.9236
.9251
.9279
.9292
.9306
.9319
.9382
.9495
1.5
.9332
.9345
.9357
.9370
.9406
.9418
.9429
.9441
.9525
.9535
.9545
.9463
.9564
.9649
.9505 .9515
.9599
.9678
1.6
.9452
.9554
.9474
.9573
.9484
.9608
.9686
.9625
.9699
.9633
9706
1.7
.9582
.9591
.9616
.9641
.9713
.9671
.9738
.9793
.9693
.9656
.9726
1.8
.9664
.9756
.9808
.9761
.9812
1.9
.9719
.9732
.9744
.9750
.9767
.9803
.9846
.9881
.9817
.9857
.9890
.9916
2.0
.9772
.9778
.9783
.9788
.9798
.9830
.9868
.9842
.9878
2.1
.9821
.9826
.9834
.9838
.9875
.9850
.9854
.9887
.9871
.9901
.9884
2.2
2.3
.9861
.9864
.9896
.9920
.9940
.9955 .9956
.9893
.9918
.9904
.9927
.9909
.9931
.9948
.9898
.9906
.9911
.9913
.9936
.9952
2.4
.9922
.9925
.9929
.9932
.9934
2.5
.9938
.9941
.9943
.9945
.9946
.9949
.9951
.9962 .9963
.9972 .9973
2.6
.9953
.9957
.9959
.9960 .9961
.9964
.9968
.9977
.9969
.9977 .9978 .9979
.9974
.9966
.9975 .9976
2.7
.9965
.9967
.9970 .9971
2.8
.9974
.9979 .9980
.9986
.9981
.9981
.9987
.9984
.9985
.9985
.9986
2.9
3.0
.9982
.9982
.9987
.9983
.9988
.9984
.9988
.9992
.9989
.9989
.9992 .9992
.9987
.9990
.9993
.9995
.9997
.9998
.9989
.9990
3.1
.9990
.9991
.9991
.9991
.9992
.9993
.9994
.9996
.9997
.9995
.9996
3.2
.9993
.9993
.9994
.9994
.9994
.9994
.9995
.9995
.9997
.9995
.9996
.9997
3.3
.9995
.9996
.9996
.9996
3.4
.9997
.9997
.9997
.9997
.9997
.9997
Transcribed Image Text:Table entry for z is the area under the standard Normal curve to the left of z. .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .5279 .5359 .5753 0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5319 0.1 .5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 .5714 0.2 .5832 .5871 .5910 .5987 .6141 .5793 .6179 .5948 .6026 .6064 .6103 .6517 .6879 .7224 0.3 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6808 .7157 .6554 .6628 .6700 .6772 .6844 .7190 .6591 .6664 .6736 0.4 0.5 0.6 .7088 .7422 .7123 .6915 7257 .6950 .6985 .7324 .7019 .7357 .7054 7389 .7291 .7454 .7486 .7517 7549 0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852 .7939 .7995 .8078 .8340 0.8 .7881 .7910 .7967 .8023 .8051 .8106 .8133 0.9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8365 .8389 .8438 .8665 .8869 .8485 .8708 .8907 .9082 .8508 .8729 .8554 .8770 1.0 .8413 .8461 .8531 .8577 .8599 .8621 .8830 .9015 1.1 .8686 .8749 .8790 .8810 .8643 .8849 1.2 .8888 .8925 .8944 .8962 .8980 .8997 .9131 .9162 .9032 .9192 1.3 .9049 .9066 .9099 .9115 .9147 .9177 .9265 .9394 1.4 .9207 .9222 .9236 .9251 .9279 .9292 .9306 .9319 .9382 .9495 1.5 .9332 .9345 .9357 .9370 .9406 .9418 .9429 .9441 .9525 .9535 .9545 .9463 .9564 .9649 .9505 .9515 .9599 .9678 1.6 .9452 .9554 .9474 .9573 .9484 .9608 .9686 .9625 .9699 .9633 9706 1.7 .9582 .9591 .9616 .9641 .9713 .9671 .9738 .9793 .9693 .9656 .9726 1.8 .9664 .9756 .9808 .9761 .9812 1.9 .9719 .9732 .9744 .9750 .9767 .9803 .9846 .9881 .9817 .9857 .9890 .9916 2.0 .9772 .9778 .9783 .9788 .9798 .9830 .9868 .9842 .9878 2.1 .9821 .9826 .9834 .9838 .9875 .9850 .9854 .9887 .9871 .9901 .9884 2.2 2.3 .9861 .9864 .9896 .9920 .9940 .9955 .9956 .9893 .9918 .9904 .9927 .9909 .9931 .9948 .9898 .9906 .9911 .9913 .9936 .9952 2.4 .9922 .9925 .9929 .9932 .9934 2.5 .9938 .9941 .9943 .9945 .9946 .9949 .9951 .9962 .9963 .9972 .9973 2.6 .9953 .9957 .9959 .9960 .9961 .9964 .9968 .9977 .9969 .9977 .9978 .9979 .9974 .9966 .9975 .9976 2.7 .9965 .9967 .9970 .9971 2.8 .9974 .9979 .9980 .9986 .9981 .9981 .9987 .9984 .9985 .9985 .9986 2.9 3.0 .9982 .9982 .9987 .9983 .9988 .9984 .9988 .9992 .9989 .9989 .9992 .9992 .9987 .9990 .9993 .9995 .9997 .9998 .9989 .9990 3.1 .9990 .9991 .9991 .9991 .9992 .9993 .9994 .9996 .9997 .9995 .9996 3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9995 .9995 .9997 .9995 .9996 .9997 3.3 .9995 .9996 .9996 .9996 3.4 .9997 .9997 .9997 .9997 .9997 .9997
Probability
Table entry for z is the area under the standard Normal curve to the left of z.
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
-3.4
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0002
.0004
.0006
-3.3
.0005
.0005
.0005
.0004
.0004
.0004
.0004
.0004
.0003
-3.2
.0007
.0007
.0006
.0006
.0006
.0006
.0005
.0005
.0005
.0007
.0009
.0013
.0008
.0007
.0010
.0013
.0009
.0013
-3.1
.0009
.0008
.0008
.0008
-3.0
.0012
.0012
.0011
.0011
.0011
.0010
.0010
.0018
.0025
-2.9
.0019
.0018
.0017
.0016
.0016
.0015
.0015
.0014
.0014
-2.8
.0026
.0024
.0023
.0023
.0022
.0021
.0021
.0020
.0019
.0030
.0040
.0029
.0028
-2.7
-2.6
.0035
.0034
.0033
.0032
.0031
.0027
.0026
.0047
.0045
.0044
.0043
.0041
.0039
.0038
.0037
.0036
-2.5
.0062
.0060
.0059
.0057
.0055
.0054
.0052
.0051
.0049
.0048
-2.4
.0082
.0080
.0078
.0075
.0073
.0071
.0069
.0068
.0066
.0064
.0094
.0122
.0158
.0096
.0089
.0102
.0132
-2.3
.0107
.0104
.0099
.0091
.0087
.0084
-2.2
.0139
.0136
.0129
.0113
.0110
.0125
.0162
.0119
.0116
-2.1
.0179
.0174
.0170
.0166
.0154
.0150
.0146
.0143
.0228
.0287
.0222
.0281
.0197
.0250
.0314
-2.0
.0217
.0212
.0207
.0202
.0192
.0188
.0183
-1.9
.0274
.0268
.0262
.0256
.0244
.0239
.0233
-1.8
.0359
.0351
.0344
.0336
.0329
.0322
.0307
.0301
.0294
-1.7
.0446
.0436
.0427
.0418
.0409
.0401
.0392
.0384
.0375
.0367
.0495
.0485
.0475
.0465
.0455
-1.6
-1.5
.0537
.0526
.0643
.0548
.0516
.0505
.0618
.0559
.0681
.0668
.0655
.0630
.0606
.0594
.0582
.0571
-1.4
.0808
.0793
.0778
.0764
.0749
.0735
.0721
.0708
.0694
-1.3
.0968
.0951
.0934
.0918
.0901
.0885
.0869
.0853
.0838
.0823
.0985
.1170
-1.2
.1093
.1056
.1038
.1020
.1003
.1151
.1357
.1131
.1112
.1075
-1.1
.1335
.1314
.1292
.1271
.1251
.1230
.1210
.1190
-1.0
.1587
.1562
.1539
.1515
.1492
.1469
.1446
.1423
.1401
.1379
.1762
.2033
.1711
.1977
-0.9
.1841
.1814
.1788
.1736
.1685
.1660
.1635
.1611
.2090
.2389
.2005
.2296
-0.8
.2119
.2061
.1949
.1922
.1894
.1867
-0.7
.2420
.2358
.2327
.2266
.2236
.2206
.2177
.2148
-0.6
.2743
.2709
.2676
.2643
.2611
.2578
.2546
.2514
.2483
.2451
.2912
.2877
.2843
.3050
.3409
.2810
.2776
-0.5
-0.4
.3085
.3015
.2981
.2946
.3372
.3745
.3446
.3336
.3300
.3264
.3121
.3228
.3594
.3192
.3156
.3632
.3557
-0.3
-0.2
.3821
.3783
.3707
.3669
.3520
.3483
.4052
.3859
.4013
.4404
.4207
.4168
.4129
.4090
.3974
.3936
.3897
.4483
.4880
-0.1
.4602
.4562
.4522
.4443
.4364
.4325
.4286
.4247
-0.0
.5000
.4960
.4920
.4840
.4801
.4761
.4721
.4681
.4641
Transcribed Image Text:Probability Table entry for z is the area under the standard Normal curve to the left of z. .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0002 .0004 .0006 -3.3 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0003 -3.2 .0007 .0007 .0006 .0006 .0006 .0006 .0005 .0005 .0005 .0007 .0009 .0013 .0008 .0007 .0010 .0013 .0009 .0013 -3.1 .0009 .0008 .0008 .0008 -3.0 .0012 .0012 .0011 .0011 .0011 .0010 .0010 .0018 .0025 -2.9 .0019 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 -2.8 .0026 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 .0030 .0040 .0029 .0028 -2.7 -2.6 .0035 .0034 .0033 .0032 .0031 .0027 .0026 .0047 .0045 .0044 .0043 .0041 .0039 .0038 .0037 .0036 -2.5 .0062 .0060 .0059 .0057 .0055 .0054 .0052 .0051 .0049 .0048 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 .0094 .0122 .0158 .0096 .0089 .0102 .0132 -2.3 .0107 .0104 .0099 .0091 .0087 .0084 -2.2 .0139 .0136 .0129 .0113 .0110 .0125 .0162 .0119 .0116 -2.1 .0179 .0174 .0170 .0166 .0154 .0150 .0146 .0143 .0228 .0287 .0222 .0281 .0197 .0250 .0314 -2.0 .0217 .0212 .0207 .0202 .0192 .0188 .0183 -1.9 .0274 .0268 .0262 .0256 .0244 .0239 .0233 -1.8 .0359 .0351 .0344 .0336 .0329 .0322 .0307 .0301 .0294 -1.7 .0446 .0436 .0427 .0418 .0409 .0401 .0392 .0384 .0375 .0367 .0495 .0485 .0475 .0465 .0455 -1.6 -1.5 .0537 .0526 .0643 .0548 .0516 .0505 .0618 .0559 .0681 .0668 .0655 .0630 .0606 .0594 .0582 .0571 -1.4 .0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 .0694 -1.3 .0968 .0951 .0934 .0918 .0901 .0885 .0869 .0853 .0838 .0823 .0985 .1170 -1.2 .1093 .1056 .1038 .1020 .1003 .1151 .1357 .1131 .1112 .1075 -1.1 .1335 .1314 .1292 .1271 .1251 .1230 .1210 .1190 -1.0 .1587 .1562 .1539 .1515 .1492 .1469 .1446 .1423 .1401 .1379 .1762 .2033 .1711 .1977 -0.9 .1841 .1814 .1788 .1736 .1685 .1660 .1635 .1611 .2090 .2389 .2005 .2296 -0.8 .2119 .2061 .1949 .1922 .1894 .1867 -0.7 .2420 .2358 .2327 .2266 .2236 .2206 .2177 .2148 -0.6 .2743 .2709 .2676 .2643 .2611 .2578 .2546 .2514 .2483 .2451 .2912 .2877 .2843 .3050 .3409 .2810 .2776 -0.5 -0.4 .3085 .3015 .2981 .2946 .3372 .3745 .3446 .3336 .3300 .3264 .3121 .3228 .3594 .3192 .3156 .3632 .3557 -0.3 -0.2 .3821 .3783 .3707 .3669 .3520 .3483 .4052 .3859 .4013 .4404 .4207 .4168 .4129 .4090 .3974 .3936 .3897 .4483 .4880 -0.1 .4602 .4562 .4522 .4443 .4364 .4325 .4286 .4247 -0.0 .5000 .4960 .4920 .4840 .4801 .4761 .4721 .4681 .4641
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