n a​ poll, 37​% of the people polled answered yes to the question​ "Are you in favor of the death penalty for a person convicted of​ murder?" The margin of error in the poll was 5​%, and the estimate was made with 95​% confidence. At least how many people were​ surveyed?

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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Related questions
Question

In a​ poll, 37​% of the people polled answered yes to the question​ "Are you in favor of the death penalty for a person convicted of​ murder?" The margin of error in the poll was 5​%, and the estimate was made with 95​% confidence. At least how many people were​ surveyed?

View the standard normal distribution table (page 1).
 
View the standard normal distribution table (page 2).
 
7/13/22, 1:56 PM
Area-
z
-3.4
-3.2
-3.1
-3.0
-29
-2.8
-2.7
-2.6
-2.5
-2.4
-2.3
-2.1
-2.0
-1.9
-1.8
-1.7
-1.6
-1.5
-1.4
-1.3
-1.2
-1.1
-1.0
-0.9
-0.8
-0.7
-0.6
-0.5
-0.4
-0.2
-0.1
-0.0
z
0.0010
0.0013
0.00
0.0003
0.0005
0.0007 0.0007
0.0019
0.0026
0.0035
0.0047
0.0062
0.0287
0.0359
0.0446
0.0548
0.0668
0.01
0.02
0.0003
0.0003
0.0005 0.0005
0.0006
0.0009
0.0013
0.0082
0.0080
0.0107 0.0104
0.0139
0.0179
0.0228
0.1841
0.2119
0.2420
0.0009
0.0013
0.3446
0.3821
0.4207
0.4602
0.5000
0.00
0.0018 0.0018
0.0025
0.0024
0.0034
0.0033
0.0045
0.0060
0.0136
0.0174
0.0222
0.0808
0.0793
0.0968
0.0951
0.1151 0.1131
0.1357
0.1335
0.1587
0.1562
0.0281
0.0351
0.0436
0.0537
0.0655
0.3409
0.3783
0.4168
0.0044
0.0059
0.4562
0.4960
0.01
0.0078
0.0102
0.0132
0.0170
0.0217
www
0.0274
0.0344
0.0427
0.0526
0.0643
0.1314
0.1539
0.3372
0.3745
0.4129
Standard Normal Distribution
0.05
0.03
0.04
0.0003
0.0004
0.0006
0.4522
0.4920
0.02
0.0009
0.0012
0.0017
0.0023
0.0032
0.0043
0.0057
0.0075
0.0099
0.0778 0.0764
0.0934 0.0918
0.1112
0.1093
0.0268
0.0336
0.0418
0.0516
0.0630
0.1292
0.1515
0.0129
0.0166 0.0162
0.0212
0.0207
med
0.0003
0.0004
0.0006
0.0008
0.0012 0.0011
0.0016
0.0023
0.0031
0.0041
0.0055
0.4090
0.4483
0.4880
0.03
0.0073
0.0096
0.0125
0.1814
0.1788 0.1762
0.2090
0.2061
0.2033
0.2358 0.2327
0.2389
0.2743 0.2709 0.2676 0.2643 0.2611
0.3085
0.3050
0.3015
0.2981
0.2946
0.0262
0.0329
0.0409
0.0505
0.0618
0.0749
0.0901
0.1075
0.1271
0.1492
0.1736
0.2005
Standard Normal Distribution Table (page 1)
0.4443
0.4840
0.04
0.0003
0.0004
0.0006
0.0008 0.0008
0.0011
w
0.0016
0.0022
0.0030
0.0040
0.0054
0.0071
0.0094
0.0122
0.0158
0.0202
0.0256
0.0322
0.0401
0.1711
0.1977
0.2296 0.2266
0.0495
0.0606
0.0735
0.0885
0.1056
0.1251
0.1469
0.3336 0.3300 0.3264
0.3707 0.3669 0.3632
0.4052
0.4013
0.2578
0.2912
0.06
0.4404
0.4801
0.05
0.0003
0.0004
0.0006
0.0039
0.0052
0.0069
0.0091
0.0119
0.0154
0.0197
www
0.0015 0.0015
0.0021
0.0021
0.0029
0.0028
0.0250
0.0314
0.0392
0.0485
0.0594
0.1230
0.1446
0.1685
0.1949
0.2236
0.07
0.2546
0.2877
0.0003
0.0004
0.0005
0.3228
0.3594
0.3974
0.4364
0.4761
0.06
0.0008
0.0011
0.0038
0.0051
0.0721
0.0708
0.0869 0.0853
0.1038
0.1020
0.0068
0.0089
0.0116
0.0150
0.0192
M
0.0244
0.0307
0.0384
0.0475
0.0582
0.1210
0.1423
0.1660
0.1922
0.2206
0.2514
0.2843
0.3192
0.3557
0.3936
0.4325
0.4721
0.07
0.08
0.0003
0.0004
0.0005
0.0007
0.0010
0.0014
0.0020
0.0027
0.0037
0.0049
0.0066
0.0087
0.0113
0.0146
0.0188
0.0239
0.0301
0.0375
0.0465
0.0571
0.1190
0.1401
0.1635
0.1894
0.2177
0.2483
0.2810
0.09
0.3156
0.3520
0.3897
0.4286
0.4681
0.08
0.0002
0.0003
0.0005
0.0007
0.0010
0.0694 0.0681
0.0838
0.0823
0.1003
0.0985
0.0014
0.0019
0.0026
0.0036
0.0048
0.0064
0.0084
0.0110
0.0143
0.0183
www.com
0.0233
0.0294
0.0367
0.0455
0.0559
0.1170
0.1379
0.1611
0.1867
0.2148
0.2451
0.2776
0.3121
0.3483
0.3859
0.4247
0.4641
0.09
Transcribed Image Text:7/13/22, 1:56 PM Area- z -3.4 -3.2 -3.1 -3.0 -29 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.1 -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 -1.4 -1.3 -1.2 -1.1 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.2 -0.1 -0.0 z 0.0010 0.0013 0.00 0.0003 0.0005 0.0007 0.0007 0.0019 0.0026 0.0035 0.0047 0.0062 0.0287 0.0359 0.0446 0.0548 0.0668 0.01 0.02 0.0003 0.0003 0.0005 0.0005 0.0006 0.0009 0.0013 0.0082 0.0080 0.0107 0.0104 0.0139 0.0179 0.0228 0.1841 0.2119 0.2420 0.0009 0.0013 0.3446 0.3821 0.4207 0.4602 0.5000 0.00 0.0018 0.0018 0.0025 0.0024 0.0034 0.0033 0.0045 0.0060 0.0136 0.0174 0.0222 0.0808 0.0793 0.0968 0.0951 0.1151 0.1131 0.1357 0.1335 0.1587 0.1562 0.0281 0.0351 0.0436 0.0537 0.0655 0.3409 0.3783 0.4168 0.0044 0.0059 0.4562 0.4960 0.01 0.0078 0.0102 0.0132 0.0170 0.0217 www 0.0274 0.0344 0.0427 0.0526 0.0643 0.1314 0.1539 0.3372 0.3745 0.4129 Standard Normal Distribution 0.05 0.03 0.04 0.0003 0.0004 0.0006 0.4522 0.4920 0.02 0.0009 0.0012 0.0017 0.0023 0.0032 0.0043 0.0057 0.0075 0.0099 0.0778 0.0764 0.0934 0.0918 0.1112 0.1093 0.0268 0.0336 0.0418 0.0516 0.0630 0.1292 0.1515 0.0129 0.0166 0.0162 0.0212 0.0207 med 0.0003 0.0004 0.0006 0.0008 0.0012 0.0011 0.0016 0.0023 0.0031 0.0041 0.0055 0.4090 0.4483 0.4880 0.03 0.0073 0.0096 0.0125 0.1814 0.1788 0.1762 0.2090 0.2061 0.2033 0.2358 0.2327 0.2389 0.2743 0.2709 0.2676 0.2643 0.2611 0.3085 0.3050 0.3015 0.2981 0.2946 0.0262 0.0329 0.0409 0.0505 0.0618 0.0749 0.0901 0.1075 0.1271 0.1492 0.1736 0.2005 Standard Normal Distribution Table (page 1) 0.4443 0.4840 0.04 0.0003 0.0004 0.0006 0.0008 0.0008 0.0011 w 0.0016 0.0022 0.0030 0.0040 0.0054 0.0071 0.0094 0.0122 0.0158 0.0202 0.0256 0.0322 0.0401 0.1711 0.1977 0.2296 0.2266 0.0495 0.0606 0.0735 0.0885 0.1056 0.1251 0.1469 0.3336 0.3300 0.3264 0.3707 0.3669 0.3632 0.4052 0.4013 0.2578 0.2912 0.06 0.4404 0.4801 0.05 0.0003 0.0004 0.0006 0.0039 0.0052 0.0069 0.0091 0.0119 0.0154 0.0197 www 0.0015 0.0015 0.0021 0.0021 0.0029 0.0028 0.0250 0.0314 0.0392 0.0485 0.0594 0.1230 0.1446 0.1685 0.1949 0.2236 0.07 0.2546 0.2877 0.0003 0.0004 0.0005 0.3228 0.3594 0.3974 0.4364 0.4761 0.06 0.0008 0.0011 0.0038 0.0051 0.0721 0.0708 0.0869 0.0853 0.1038 0.1020 0.0068 0.0089 0.0116 0.0150 0.0192 M 0.0244 0.0307 0.0384 0.0475 0.0582 0.1210 0.1423 0.1660 0.1922 0.2206 0.2514 0.2843 0.3192 0.3557 0.3936 0.4325 0.4721 0.07 0.08 0.0003 0.0004 0.0005 0.0007 0.0010 0.0014 0.0020 0.0027 0.0037 0.0049 0.0066 0.0087 0.0113 0.0146 0.0188 0.0239 0.0301 0.0375 0.0465 0.0571 0.1190 0.1401 0.1635 0.1894 0.2177 0.2483 0.2810 0.09 0.3156 0.3520 0.3897 0.4286 0.4681 0.08 0.0002 0.0003 0.0005 0.0007 0.0010 0.0694 0.0681 0.0838 0.0823 0.1003 0.0985 0.0014 0.0019 0.0026 0.0036 0.0048 0.0064 0.0084 0.0110 0.0143 0.0183 www.com 0.0233 0.0294 0.0367 0.0455 0.0559 0.1170 0.1379 0.1611 0.1867 0.2148 0.2451 0.2776 0.3121 0.3483 0.3859 0.4247 0.4641 0.09
7/13/22, 1:56 PM
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
2.4
2.5
2.6
2.7
2.8
2.9
Area
3.1
3.2
3.3
3.4
Z
0.00
0.01
0.5000
0.5040
0.5398
0.5438
0.5793
0.5832
0.6179
0.6217
0.6255
0.6293
0.6554 0.6591 0.6628 0.6664
0.6915
0.7257
0.7580
0.7881
0.8159
Z
0.9772
0.9821
0.9861
0.9893
0.9918
0.6950
0.7291
0.7611
0.7910
0.8186
0.8413
0.8643
0.8849
0.9032 0.9049 0.9066
0.9192
0.9207
0.9222
0.9641 0.9649
0.9713 0.9719
0.9974
0.9981
0.8438
0.8665
0.8869
0.9987
0.9990
0.9993
0.9995
0.9997
0.00
B
0.9332
0.9452 0.9463
0.9345 0.9357
0.9474
0.9554 0.9564 0.9573
0.02
0.9778
0.9826
0.9864
0.9896
0.9920
0.5080
0.5478
0.5871
0.6985
0.7324
0.7642
0.7939
0.8212
0.8461
0.8686
0.8888
0.9995
0.9997
0.01
0.9898
0.9922
Standard Normal Distribution
0.03
0.04
0.05
0.5120 0.5160
0.5517 0.5557
0.5910
0.5948
0.9976
0.9982
0.9987 0.9987
0.9991
0.9991
0.9993
0.9994
0.9656 0.9664
0.9726 0.9732
0.9938
0.9940
0.9941 0.9943
0.9953 0.9955 0.9956 0.9957
0.9965
0.9966
0.9975
0.9982
0.8485
0.8708
0.8907
0.9783 0.9788
0.9830
0.9834
0.9868
0.9871
0.9901
0.9925
0.9995
0.9997
0.02
0.6368
0.6406
0.6736 0.6772
andree
0.7019
0.7054
0.7088
0.7357 0.7389
0.7422
0.7673 0.7704 0.7734
0.7967
0.7995
0.8238
0.8264
0.9082
0.9236
0.9370
0.9484
0.9582
0.6331
0.6700
0.9988
0.9991
0.9994
0.9996
0.9997
0.03
0.8925
0.9099
0.9251
0.9967 0.9968 0.9969
0.9977
0.9983
0.8508 0.8531
0.8729
0.8749
0.9671
0.9738
0.9793
0.9838
0.9875
0.9904
0.9927
0.9945
0.9959
Standard Normal Distribution Table (page 2)
0.9382
0.9394
0.9495 0.9505
0.9591
0.9599
0.9977
0.9984
0.06
0.5239
0.5199
0.5596 0.5636
0.5987
0.6026
0.9988
0.9992
0.9994
0.9996
0.9997
0.04
0.8023
0.8289
0.8944
0.9115
0.9265
view
0.9798
0.9842
0.9878
0.9906
0.9929
0.9406
0.9515
0.9608
0.9678 0.9686
0.9744
0.9750
0.9946
0.9960
0.9970
0.7123
0.7454
0.7764
0.8051
0.8315
0.9989
0.9992
0.9994
0.9996
0.9997
0.05
0.8554
0.8770
0.8962
0.9131
0.9279
w
0.9803
0.9846
0.9881
0.9909
0.9931
0.9948
0.9961
0.9971
0.9978 0.9979
0.9984
0.9985
0.9989
0.9992
0.9994
0.9996
0.9997
0.06
0.08
0.5319
0.5714
0.6064 0.6103
0.07
0.5279
0.5675
0.6443
0.6808
0.7157
0.7486
0.7794
0.8078
0.8340
0.6480
0.6844
0.9693
0.9756
pa
0.8577 0.8599
0.8790
0.8810
0.7190
0.7517
0.7823
0.8980
0.8997
0.9147 0.9162
0.9292 0.9306
0.9949
0.9962
0.9972
0.9979
0.9985
0.8106
0.8365
0.9418 0.9429
0.9525
0.9535
0.9616
0.9625
0.9989
0.9992
0.9995
0.9808 0.9812
0.9850 0.9854
0.9884
0.9887
0.9911
0.9913
0.9932 0.9934
0.9699
0.9761
0.9951
0.9963
0.9973
0.9980
0.9986
0.9990
0.9993
0.9995
0.9996
0.9996
0.9997 0.9997
0.07
0.08
0.09
0.5359
0.5753
0.6141
0.6517
0.6879
0.7224
0.7549
0.7852
0.8133
0.8389
0.8621
0.8830
0.9015
0.9177
0.9319
www
0.9441
0.9545
0.9633
0.9706
0.9767
0.9817
0.9857
0.9890
0.9916
0.9936
0.9952
0.9964
0.9974
0.9981
0.9986
0.9990
0.9993
0.9995
0.9997
0.9998
0.09
Transcribed Image Text:7/13/22, 1:56 PM 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 2.4 2.5 2.6 2.7 2.8 2.9 Area 3.1 3.2 3.3 3.4 Z 0.00 0.01 0.5000 0.5040 0.5398 0.5438 0.5793 0.5832 0.6179 0.6217 0.6255 0.6293 0.6554 0.6591 0.6628 0.6664 0.6915 0.7257 0.7580 0.7881 0.8159 Z 0.9772 0.9821 0.9861 0.9893 0.9918 0.6950 0.7291 0.7611 0.7910 0.8186 0.8413 0.8643 0.8849 0.9032 0.9049 0.9066 0.9192 0.9207 0.9222 0.9641 0.9649 0.9713 0.9719 0.9974 0.9981 0.8438 0.8665 0.8869 0.9987 0.9990 0.9993 0.9995 0.9997 0.00 B 0.9332 0.9452 0.9463 0.9345 0.9357 0.9474 0.9554 0.9564 0.9573 0.02 0.9778 0.9826 0.9864 0.9896 0.9920 0.5080 0.5478 0.5871 0.6985 0.7324 0.7642 0.7939 0.8212 0.8461 0.8686 0.8888 0.9995 0.9997 0.01 0.9898 0.9922 Standard Normal Distribution 0.03 0.04 0.05 0.5120 0.5160 0.5517 0.5557 0.5910 0.5948 0.9976 0.9982 0.9987 0.9987 0.9991 0.9991 0.9993 0.9994 0.9656 0.9664 0.9726 0.9732 0.9938 0.9940 0.9941 0.9943 0.9953 0.9955 0.9956 0.9957 0.9965 0.9966 0.9975 0.9982 0.8485 0.8708 0.8907 0.9783 0.9788 0.9830 0.9834 0.9868 0.9871 0.9901 0.9925 0.9995 0.9997 0.02 0.6368 0.6406 0.6736 0.6772 andree 0.7019 0.7054 0.7088 0.7357 0.7389 0.7422 0.7673 0.7704 0.7734 0.7967 0.7995 0.8238 0.8264 0.9082 0.9236 0.9370 0.9484 0.9582 0.6331 0.6700 0.9988 0.9991 0.9994 0.9996 0.9997 0.03 0.8925 0.9099 0.9251 0.9967 0.9968 0.9969 0.9977 0.9983 0.8508 0.8531 0.8729 0.8749 0.9671 0.9738 0.9793 0.9838 0.9875 0.9904 0.9927 0.9945 0.9959 Standard Normal Distribution Table (page 2) 0.9382 0.9394 0.9495 0.9505 0.9591 0.9599 0.9977 0.9984 0.06 0.5239 0.5199 0.5596 0.5636 0.5987 0.6026 0.9988 0.9992 0.9994 0.9996 0.9997 0.04 0.8023 0.8289 0.8944 0.9115 0.9265 view 0.9798 0.9842 0.9878 0.9906 0.9929 0.9406 0.9515 0.9608 0.9678 0.9686 0.9744 0.9750 0.9946 0.9960 0.9970 0.7123 0.7454 0.7764 0.8051 0.8315 0.9989 0.9992 0.9994 0.9996 0.9997 0.05 0.8554 0.8770 0.8962 0.9131 0.9279 w 0.9803 0.9846 0.9881 0.9909 0.9931 0.9948 0.9961 0.9971 0.9978 0.9979 0.9984 0.9985 0.9989 0.9992 0.9994 0.9996 0.9997 0.06 0.08 0.5319 0.5714 0.6064 0.6103 0.07 0.5279 0.5675 0.6443 0.6808 0.7157 0.7486 0.7794 0.8078 0.8340 0.6480 0.6844 0.9693 0.9756 pa 0.8577 0.8599 0.8790 0.8810 0.7190 0.7517 0.7823 0.8980 0.8997 0.9147 0.9162 0.9292 0.9306 0.9949 0.9962 0.9972 0.9979 0.9985 0.8106 0.8365 0.9418 0.9429 0.9525 0.9535 0.9616 0.9625 0.9989 0.9992 0.9995 0.9808 0.9812 0.9850 0.9854 0.9884 0.9887 0.9911 0.9913 0.9932 0.9934 0.9699 0.9761 0.9951 0.9963 0.9973 0.9980 0.9986 0.9990 0.9993 0.9995 0.9996 0.9996 0.9997 0.9997 0.07 0.08 0.09 0.5359 0.5753 0.6141 0.6517 0.6879 0.7224 0.7549 0.7852 0.8133 0.8389 0.8621 0.8830 0.9015 0.9177 0.9319 www 0.9441 0.9545 0.9633 0.9706 0.9767 0.9817 0.9857 0.9890 0.9916 0.9936 0.9952 0.9964 0.9974 0.9981 0.9986 0.9990 0.9993 0.9995 0.9997 0.9998 0.09
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Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman