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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?

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?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 28E
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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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