In a​ poll, 51​% 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 3%, and the estimate was made with 94​% 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
icon
Related questions
Question

In a​ poll, 51​% 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 3%, and the estimate was made with 94​% confidence. At least how many people were​ surveyed?

7/28/22, 1:22 PM
Area
Z
-3.4
-3.3
-3.2
-3.1
-3.0
-29
-2.8
-2.7
-2.6
-2.5
-2.4
-2.3
-2.2
-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
-0.3
-0.2
-0.1
-0.0
z
0.00
0.01
0.02
0.0003
0.0003
0.0003
0.0003
0.0005
0.0005
0.0005
0.0004
0.0008
0.0013
0.0007 0.0007 0.0006 0.0006
0.0010 0.0009 0.0009 0.0009
0.0013 0.0013 0.0012 0.0012
0.0019 0.0018 0.0018 0.0017 0.0016
0.0026 0.0025 0.0024 0.0023 0.0023
0.0032
0.0035
0.0034
0.0033
0.0031
0.0047
0.0045
0.0044
0.0043
0.0041
0.0062 0.0060
0.0059 0.0057 0.0055
0.0082 0.0080
0.0107 0.0104
0.0139 0.0136
0.0179
0.0228
0.0287
0.0359
0.0446
0.0548
0.0668
0.0078
0.0102
0.0132
0.0174 0.0170
0.0222
0.0217
0.3446 0.3409
0.3821
0.3783
0.4207
0.4168
0.4602 0.4562
0.5000
0.4960
0.00
0.01
Standard Normal Distribution
0.03
0.04
0.05
0.0003
0.0004
0.0006
Standard Normal Distribution Table (page 1)
0.0166 0.0162
0.0212
0.0207
0.0003
0.0004
0.0006
0.0008
0.0011
0.0075 0.0073 0.0071
0.0099 0.0096 0.0094
0.0129 0.0125 0.0122
0.0158
0.0202
0.06
0.07
0.0003
0.0003
0.0004 0.0004
0.0006
0.0005
0.0008 0.0008
0.0011
0.0011
0.0016 0.0015 0.0015
0.0022
0.0021 0.0021
0.0030
0.0029
0.0028
0.0040
0.0039
0.0054 0.0052
0.0262
0.0256
0.0329
0.0322
0.0808 0.0793
0.0968
0.0281 0.0274 0.0268
0.0351 0.0344 0.0336
0.0436 0.0427
0.0418 0.0409 0.0401
0.0537 0.0526 0.0516 0.0505 0.0495
0.0655 0.0643 0.0630 0.0618 0.0606
0.0778 0.0764 0.0749 0.0735
0.0951 0.0934 0.0918 0.0901 0.0885 0.0869
0.1151 0.1131
0.1112 0.1093 0.1075
0.1357 0.1335 0.1314 0.1292
0.1587 0.1562 0.1539 0.1515 0.1492
0.1841 0.1814 0.1788 0.1762 0.1736
0.2119 0.2090 0.2061 0.2033 0.2005
0.2420 0.2389 0.2358 0.2327 0.2296
0.2743 0.2709 0.2676 0.2643
0.1056
0.1038
0.1271
0.1251
0.1469 0.1446
0.3085 0.3050
0.2611
0.2946
0.3015
0.2981
0.0069
0.0091
0.0119 0.0116
0.0154 0.0150
0.0197
0.0192
0.0250
0.0244
0.0314
0.0307
0.0392 0.0384
0.0485 0.0475
0.0594 0.0582
0.0038 0.0037
0.0051
0.0049
0.1711
0.1685
0.1977
0.1949
0.2266 0.2236
0.2578 0.2546
0.2912 0.2877
0.08
0.0003
0.0004
0.0005
0.0007
0.0010
0.0014
0.0020
0.0027
0.3228
0.3192
0.3372
0.3336 0.3300 0.3264
0.3745 0.3707 0.3669 0.3632
0.3594 0.3557
0.4013
0.3974
0.4129 0.4090 0.4052
0.4522 0.4483 0.4443
0.4404
0.4364
0.4920
0.4880
0.4840
0.4801 0.4761
0.02
0.03
0.04
0.05
0.06
0.0068 0.0066 0.0064
0.0089 0.0087
0.0113
0.0146
0.0188
0.0721 0.0708 0.0694
0.0853
0.0838
0.1020
0.1003
0.1230 0.1210
0.1423
0.4325
0.4721
0.07
0.0465
0.0571
0.1660 0.1635
0.1922
0.1894
0.2206
0.2177
0.2514 0.2483
0.2843 0.2810
0.1190
0.1401
0.3156
0.3520
0.3936 0.3897
0.09
0.0002
0.0003
0.0005
0.0007
0.0010
0.0239 0.0233
0.0301
0.0294
0.0375
0.0014
0.0019
0.0026
0.4286
0.4681
0.08
0.0036
0.0048
0.0084
0.0110
0.0143
0.0183
0.0367
0.0455
0.0559
0.0681
0.0823
0.0985
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:7/28/22, 1:22 PM Area Z -3.4 -3.3 -3.2 -3.1 -3.0 -29 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -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 -0.3 -0.2 -0.1 -0.0 z 0.00 0.01 0.02 0.0003 0.0003 0.0003 0.0003 0.0005 0.0005 0.0005 0.0004 0.0008 0.0013 0.0007 0.0007 0.0006 0.0006 0.0010 0.0009 0.0009 0.0009 0.0013 0.0013 0.0012 0.0012 0.0019 0.0018 0.0018 0.0017 0.0016 0.0026 0.0025 0.0024 0.0023 0.0023 0.0032 0.0035 0.0034 0.0033 0.0031 0.0047 0.0045 0.0044 0.0043 0.0041 0.0062 0.0060 0.0059 0.0057 0.0055 0.0082 0.0080 0.0107 0.0104 0.0139 0.0136 0.0179 0.0228 0.0287 0.0359 0.0446 0.0548 0.0668 0.0078 0.0102 0.0132 0.0174 0.0170 0.0222 0.0217 0.3446 0.3409 0.3821 0.3783 0.4207 0.4168 0.4602 0.4562 0.5000 0.4960 0.00 0.01 Standard Normal Distribution 0.03 0.04 0.05 0.0003 0.0004 0.0006 Standard Normal Distribution Table (page 1) 0.0166 0.0162 0.0212 0.0207 0.0003 0.0004 0.0006 0.0008 0.0011 0.0075 0.0073 0.0071 0.0099 0.0096 0.0094 0.0129 0.0125 0.0122 0.0158 0.0202 0.06 0.07 0.0003 0.0003 0.0004 0.0004 0.0006 0.0005 0.0008 0.0008 0.0011 0.0011 0.0016 0.0015 0.0015 0.0022 0.0021 0.0021 0.0030 0.0029 0.0028 0.0040 0.0039 0.0054 0.0052 0.0262 0.0256 0.0329 0.0322 0.0808 0.0793 0.0968 0.0281 0.0274 0.0268 0.0351 0.0344 0.0336 0.0436 0.0427 0.0418 0.0409 0.0401 0.0537 0.0526 0.0516 0.0505 0.0495 0.0655 0.0643 0.0630 0.0618 0.0606 0.0778 0.0764 0.0749 0.0735 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.1151 0.1131 0.1112 0.1093 0.1075 0.1357 0.1335 0.1314 0.1292 0.1587 0.1562 0.1539 0.1515 0.1492 0.1841 0.1814 0.1788 0.1762 0.1736 0.2119 0.2090 0.2061 0.2033 0.2005 0.2420 0.2389 0.2358 0.2327 0.2296 0.2743 0.2709 0.2676 0.2643 0.1056 0.1038 0.1271 0.1251 0.1469 0.1446 0.3085 0.3050 0.2611 0.2946 0.3015 0.2981 0.0069 0.0091 0.0119 0.0116 0.0154 0.0150 0.0197 0.0192 0.0250 0.0244 0.0314 0.0307 0.0392 0.0384 0.0485 0.0475 0.0594 0.0582 0.0038 0.0037 0.0051 0.0049 0.1711 0.1685 0.1977 0.1949 0.2266 0.2236 0.2578 0.2546 0.2912 0.2877 0.08 0.0003 0.0004 0.0005 0.0007 0.0010 0.0014 0.0020 0.0027 0.3228 0.3192 0.3372 0.3336 0.3300 0.3264 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.4013 0.3974 0.4129 0.4090 0.4052 0.4522 0.4483 0.4443 0.4404 0.4364 0.4920 0.4880 0.4840 0.4801 0.4761 0.02 0.03 0.04 0.05 0.06 0.0068 0.0066 0.0064 0.0089 0.0087 0.0113 0.0146 0.0188 0.0721 0.0708 0.0694 0.0853 0.0838 0.1020 0.1003 0.1230 0.1210 0.1423 0.4325 0.4721 0.07 0.0465 0.0571 0.1660 0.1635 0.1922 0.1894 0.2206 0.2177 0.2514 0.2483 0.2843 0.2810 0.1190 0.1401 0.3156 0.3520 0.3936 0.3897 0.09 0.0002 0.0003 0.0005 0.0007 0.0010 0.0239 0.0233 0.0301 0.0294 0.0375 0.0014 0.0019 0.0026 0.4286 0.4681 0.08 0.0036 0.0048 0.0084 0.0110 0.0143 0.0183 0.0367 0.0455 0.0559 0.0681 0.0823 0.0985 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
7/28/22, 1:20 PM
z
SEE 888 323 99939 87833 98538 82223.
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
2.4
2.5
Area
2.6
2.7
2.8
2.9
0.00
0.5000
0.5398
0.5793
0.6179
0.6554
www
0.6915
0.7257
0.7580
0.7881
0.8159
0.8413
0.8643
0.8849
0.9032
0.9192
www
0.9332
0.9452
0.9554
0.9641
0.9713
0.9772
0.9821
0.9861
0.9893
0.9918
0.9938
0.9953
0.9965
0.9974
0.9981
0.9987
0.9990
0.9993
0.9995
0.9997
0.00
Z
0.01
0.02
0.5040 0.5080 0.5120 0.5160
0.5438 0.5478 0.5517 0.5557
0.5832
0.5871
0.5910
0.5948
0.6331
0.6700
0.6217
0.6591
0.6950
0.7291
0.7611
0.7910
0.8186
0.8438
0.8665
0.8869
0.9049
0.9207
0.9345
0.9463
0.9564
0.9649
0.9719
0.9896
0.9920
0.9940
0.9955
0.9966
0.9975
0.9982
0.9987
0.9991
0.9993
0.9995
0.9997
0.01
0.6255
0.6628
www
0.6985
0.7019
0.7324
0.7357
0.7642 0.7673
0.9778 0.9783
0.9826
0.9830
0.9864 0.9868
0.9898
0.9922
0.9222
www
0.7939 0.7967 0.7995
0.8212
0.8238 0.8264
Standard Normal Distribution
0.03
0.04
0.05
0.8461
0.8485 0.8508
0.8686
0.8708
0.8729
0.8888
0.8907
0.8925
0.9066 0.9082
0.9236
0.9656
0.9726
0.6293
0.6664
0.9357 0.9370
0.9474
0.9484
0.9573
0.9582
0.9941
0.9956
0.9967
0.9976
0.9982
0.9987
0.9991
0.9994
0.9995
0.9997
0.02
0.9664
0.9732
0.9901
0.9925
0.9788 0.9793
0.9834
0.9871
0.9943
0.9957
0.9968
0.9977
0.9983
0.9988
0.9991
0.9994
0.9996
0.9997
0.03
0.7054
0.7389
0.7704 0.7734
0.9838
0.9875
Standard Normal Distribution Table (page 2)
0.9904
0.9927
0.06
0.5239
0.5199
0.5596 0.5636
0.5987
0.6026
0.8531
0.8749
0.8944
0.9099
0.9115
0.9251 0.9265
www.
wwwww
0.9382
0.9495
0.9591
0.9671
0.9678
0.9738 0.9744
0.9988
0.9992
0.9994
0.6368
0.6736
0.9996
0.9997
0.04
0.7088
0.7422
0.8023
0.8289
0.9394
0.9505
0.9599
0.9906
0.9929
0.9945
0.9946
0.9959
0.9960
0.9969 0.9970
0.9977
0.9984
0.6406
0.6772
0.9989
0.9992
0.7123
0.7454
0.7764
0.9994
0.9996
0.9997
0.05
0.8051
0.8315
0.8554
0.8770
0.8962
0.9798 0.9803
0.9842
0.9878
0.9131
0.9279
0.9406
0.9515
0.9608
0.9686
0.9750
0.9948
0.9961
0.9971
0.9978 0.9979
0.9984
0.9985
0.9846
0.9881
0.9909
0.9931
0.9989
0.9992
0.9994
0.9996
0.9997
0.06
0.07
0.08
0.5279
0.5319
0.5675 0.5714
0.6064
0.6103
0.6443
0.6480
0.6808 0.6844
0.7157 0.7190
0.7486
0.7517
0.7794
0.7823
0.8078
0.8340
0.8577
0.8790
0.8980
0.9147
0.9292
www
0.9418
0.9525
0.9616
0.9693
0.9756
0.9808
0.9850
0.9884
0.8106
0.8365
0.8599
0.8810
0.8997
0.9162
0.9306
0.9996
0.9997
0.07
0.9429
0.9535
0.9625
0.9699
0.9761
0.9812
0.9854
0.9887
0.9911
0.9913
0.9932 0.9934
0.9949
0.9962
0.9972 0.9973
0.9979 0.9980
0.9985 0.9986
0.9951
0.9963
0.9989
0.9990
0.9992
0.9993
0.9995 0.9995
0.9996
0.9997
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
0.90 15
0.9177
0.9319
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:7/28/22, 1:20 PM z SEE 888 323 99939 87833 98538 82223. 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 2.4 2.5 Area 2.6 2.7 2.8 2.9 0.00 0.5000 0.5398 0.5793 0.6179 0.6554 www 0.6915 0.7257 0.7580 0.7881 0.8159 0.8413 0.8643 0.8849 0.9032 0.9192 www 0.9332 0.9452 0.9554 0.9641 0.9713 0.9772 0.9821 0.9861 0.9893 0.9918 0.9938 0.9953 0.9965 0.9974 0.9981 0.9987 0.9990 0.9993 0.9995 0.9997 0.00 Z 0.01 0.02 0.5040 0.5080 0.5120 0.5160 0.5438 0.5478 0.5517 0.5557 0.5832 0.5871 0.5910 0.5948 0.6331 0.6700 0.6217 0.6591 0.6950 0.7291 0.7611 0.7910 0.8186 0.8438 0.8665 0.8869 0.9049 0.9207 0.9345 0.9463 0.9564 0.9649 0.9719 0.9896 0.9920 0.9940 0.9955 0.9966 0.9975 0.9982 0.9987 0.9991 0.9993 0.9995 0.9997 0.01 0.6255 0.6628 www 0.6985 0.7019 0.7324 0.7357 0.7642 0.7673 0.9778 0.9783 0.9826 0.9830 0.9864 0.9868 0.9898 0.9922 0.9222 www 0.7939 0.7967 0.7995 0.8212 0.8238 0.8264 Standard Normal Distribution 0.03 0.04 0.05 0.8461 0.8485 0.8508 0.8686 0.8708 0.8729 0.8888 0.8907 0.8925 0.9066 0.9082 0.9236 0.9656 0.9726 0.6293 0.6664 0.9357 0.9370 0.9474 0.9484 0.9573 0.9582 0.9941 0.9956 0.9967 0.9976 0.9982 0.9987 0.9991 0.9994 0.9995 0.9997 0.02 0.9664 0.9732 0.9901 0.9925 0.9788 0.9793 0.9834 0.9871 0.9943 0.9957 0.9968 0.9977 0.9983 0.9988 0.9991 0.9994 0.9996 0.9997 0.03 0.7054 0.7389 0.7704 0.7734 0.9838 0.9875 Standard Normal Distribution Table (page 2) 0.9904 0.9927 0.06 0.5239 0.5199 0.5596 0.5636 0.5987 0.6026 0.8531 0.8749 0.8944 0.9099 0.9115 0.9251 0.9265 www. wwwww 0.9382 0.9495 0.9591 0.9671 0.9678 0.9738 0.9744 0.9988 0.9992 0.9994 0.6368 0.6736 0.9996 0.9997 0.04 0.7088 0.7422 0.8023 0.8289 0.9394 0.9505 0.9599 0.9906 0.9929 0.9945 0.9946 0.9959 0.9960 0.9969 0.9970 0.9977 0.9984 0.6406 0.6772 0.9989 0.9992 0.7123 0.7454 0.7764 0.9994 0.9996 0.9997 0.05 0.8051 0.8315 0.8554 0.8770 0.8962 0.9798 0.9803 0.9842 0.9878 0.9131 0.9279 0.9406 0.9515 0.9608 0.9686 0.9750 0.9948 0.9961 0.9971 0.9978 0.9979 0.9984 0.9985 0.9846 0.9881 0.9909 0.9931 0.9989 0.9992 0.9994 0.9996 0.9997 0.06 0.07 0.08 0.5279 0.5319 0.5675 0.5714 0.6064 0.6103 0.6443 0.6480 0.6808 0.6844 0.7157 0.7190 0.7486 0.7517 0.7794 0.7823 0.8078 0.8340 0.8577 0.8790 0.8980 0.9147 0.9292 www 0.9418 0.9525 0.9616 0.9693 0.9756 0.9808 0.9850 0.9884 0.8106 0.8365 0.8599 0.8810 0.8997 0.9162 0.9306 0.9996 0.9997 0.07 0.9429 0.9535 0.9625 0.9699 0.9761 0.9812 0.9854 0.9887 0.9911 0.9913 0.9932 0.9934 0.9949 0.9962 0.9972 0.9973 0.9979 0.9980 0.9985 0.9986 0.9951 0.9963 0.9989 0.9990 0.9992 0.9993 0.9995 0.9995 0.9996 0.9997 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 0.90 15 0.9177 0.9319 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
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
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