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A television sports commentator wants to estimate the proportion of citizens who "follow professional football." Complete parts (a) through (c). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). .. (a) What sample size should be obtained if he wants to be within 4 percentage points with 95% confidence if he uses an estimate of 52% obtained from a poll? The sample size is 600. (Round up to the nearest integer.) (b) What sample size should be obtained if he wants to be within 4 percentage points with 95% confidence if he does not use any prior estimates? The sample size is 601. (Round up to the nearest integer.) (c) Why are the results from parts (a) and (b) so close? O A. The results are close because the confidence 95% is close to 100%. O B. The results are close because the margin of error 4% is less than 5%. O C. The results are close because 0.52(1-0.52) = 0.2496 is very close to 0.25.

A television sports commentator wants to estimate the proportion of citizens who "follow professional football." Complete parts (a) through (c). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). .. (a) What sample size should be obtained if he wants to be within 4 percentage points with 95% confidence if he uses an estimate of 52% obtained from a poll? The sample size is 600. (Round up to the nearest integer.) (b) What sample size should be obtained if he wants to be within 4 percentage points with 95% confidence if he does not use any prior estimates? The sample size is 601. (Round up to the nearest integer.) (c) Why are the results from parts (a) and (b) so close? O A. The results are close because the confidence 95% is close to 100%. O B. The results are close because the margin of error 4% is less than 5%. O C. The results are close because 0.52(1-0.52) = 0.2496 is very close to 0.25.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Answer part C only!!

A television sports commentator wants to estimate the proportion of citizens who "follow professional football." Complete parts (a) through (c). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). ..... (a) What sample size should be obtained if he wants to be within 4 percentage points with 95% confidence if he uses an estimate of 52% obtained from a poll? The sample size is 600 . (Round up to the nearest integer.) (b) What sample size should be obtained if he wants to be within 4 percentage points with 95% confidence if he does not use any prior estimates? The sample size is 601. (Round up to the nearest integer.) (c) Why are the results from parts (a) and (b) so close? A. The results are close because the confidence 95% is close to 100%. B. The results are close because the margin of error 4% is less than 5%. O C. The results are close because 0.52(1 - 0.52) = 0.2496 is very close to 0.25.
Transcribed Image Text:A television sports commentator wants to estimate the proportion of citizens who "follow professional football." Complete parts (a) through (c). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). ..... (a) What sample size should be obtained if he wants to be within 4 percentage points with 95% confidence if he uses an estimate of 52% obtained from a poll? The sample size is 600 . (Round up to the nearest integer.) (b) What sample size should be obtained if he wants to be within 4 percentage points with 95% confidence if he does not use any prior estimates? The sample size is 601. (Round up to the nearest integer.) (c) Why are the results from parts (a) and (b) so close? A. The results are close because the confidence 95% is close to 100%. B. The results are close because the margin of error 4% is less than 5%. O C. The results are close because 0.52(1 - 0.52) = 0.2496 is very close to 0.25.
Aea Area Standard Nomal Distribution Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0,06 0.07 0.08 0.09 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.5000 0.5398 0.5793 0.5080 0.5478 0.5871 0.6255 0,6628 05120 0.5517 0.5910 0.6293 0.6664 0.5199 0.5596 0.5987 0.5239 0.5636 0.6026 0.6406 0,6772 0.5279 0.5675 0.6064 0.5319 0.5714 0.6103 0.6480 0.5359 0.5753 0.6141 0.6517 0,6879 0.0 0.5040 0.5438 0.5832 0.6217 0.6591 0.5160 0.5557 0.5948 0.6331 0.6700 0.0003 0.0004 0.0005 0.0007 0.0010 -3.4 -3.3 0.0003 0.0005 0.0007 0.0010 0.0013 0.0003 0.0005 0.0007 0.0009 0.0013 0.0003 0.0005 0.0006 0.0009 0.0013 0.0003 0.0004 0.0006 0.0009 0.0012 0.0003 0.0004 0.0006 0.1 0.2 0.3 0.4 -3.2 -3.1 -3.0 0.0006 0.0008 0.0011 0.0003 0.0004 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0008 0.0011 0.0002 0.0003 0.0005 0.0007 0.6179 0.6554 0.6368 0.6736 0.6443 0.6808 0.0008 0.0012 0.0008 0.0011 0,6844 0.0010 0.6915 0.7257 0.7580 0.6950 0.7291 0.7611 0.7910 0.6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7673 0.7054 0.7389 0.7704 0.7995 0.8264 0.7088 0.7422 0.7734 0.8023 0.8289 0.7123 0.7454 0,7764 0.8051 0.8315 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0.7517 0.7823 0.7224 0.7549 0.7852 0,8133 0.8389 0,5 0.0019 0.0026 0.0035 0.0018 0.0025 0.0034 0.0018 0.0024 0.0033 0.0044 0.0059 0.0017 0.0023 0.0032 0.0043 0.0057 0.0016 0.0023 0.0031 0.0041 0.0055 0.0016 0.0022 0.0030 0.0040 0.0054 0.0015 0.0021 0.0029 0.0039 0.0052 0.0015 0.0021 0.0028 0.0038 0.0051 0.0014 0.0020 0.0027 0.0037 0.0049 0.0014 0.0019 0.0026 -29 0.6 -28 0.7 0.7881 0.8159 0.7967 0.8238 -2.7 -2.6 -2.5 0.0047 0.0062 0.0045 0.0060 0.0036 0.0048 0.8 0.8106 0.9 0.8186 0.8365 0.8413 0.8643 0.8849 0.9032 0.9192 0.8438 0.8665 0.8869 0.9049 0.9207 0,8461 0.8686 0.8888 0.9066 0.9222 0.8485 0.8708 0.8907 0.8531 0.8749 0.8944 0.9115 0.9265 0.8577 0.8790 0.8980 0.8599 0.8810 0.8997 0.8621 0,8830 0.9015 0.9177 0.9319 0.0082 0.0107 0.0139 0.0080 0.0104 0.0136 0.0078 0.0102 0.0132 0.0170 0,0217 0.0075 0.0099 0.0129 0.0073 0.0096 0.0125 0.0071 0.0094 0.0122 0.0158 0.0202 0.0069 0.0091 0.0119 0.0154 0.0197 0.0068 0.0089 0.0116 0.0150 0.0192 0.0066 0.0087 0.0113 0.0064 0.0084 0.0110 0.3 0.8508 0.8729 0.8925 0.8554 0.8770 0.8962 -2.4 -2.3 -2.2 1.0 1.1 1.2 1.3 1.4 -2.1 0.0179 0.0174 0.0166 0.0162 0.0146 0.0143 0.9082 0.9236 0.9099 0.9251 0.9131 0.9279 0.9147 0.9292 0.9162 0.9306 0.0228 -2.0 0.0222 0.0212 0.0207 0.0188 0.0183 -1.9 -1.8 -1.7 0.0287 0.0359 0.0446 0.0548 0.0668 0.0281 0.0351 0.0436 0.0537 0.0655 0,0274 0.0344 0.0427 0.0526 0.0643 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0329 0.0409 0.0505 0.0618 0,0256 0.0322 0.0401 0.0250 0.0314 0.0392 0.0485 0.0594 0.0244 0.0307 0.9345 0.9463 0.9564 0.9370 0.9484 0.9582 0.9664 0.9732 0.9382 0.9495 0.9591 0.9671 0.9738 0.9406 0.9515 0.9608 0.9418 0.9525 0.9616 0.0239 0.0301 0.0375 0.0465 0.0571 0,0233 0.0294 0.0367 0.0455 0.0559 1.5 0.9332 0.9452 0.9554 0.9641 0,9713 0.9357 0.9394 0.9505 0.9599 0.9429 0.9535 0.9625 0.9441 0.9545 0.9633 0,9706 0.9767 1.6 0.9474 1.7 0.0384 0.9649 0,9719 0.9573 0,9656 0.9726 0.9678 0,9744 0.9686 0,9750 0.0495 0.0606 0.0475 0.0582 -1.6 1.8 1.9 0.9693 0.9756 0.9699 0.9761 -1.5 -14 -1.3 -1.2 0.0808 0.0968 0.1151 0.1357 0.1587 0.0604 0.0838 0.1003 0.1190 0.1401 0,0793 0.0951 0.0778 0.0934 0.1112 0.1314 0.1539 0.0764 0.0918 0.1093 0.1292 0.1515 0.0749 0.0901 0.1075 0.1271 0.1492 0.0735 0.0885 0.1056 0.0721 0.0869 2.0 2.1 2.2 2.3 2.4 0.9772 0.9821 0.9861 0.9893 0,9918 0,9778 0.9826 0.9864 0.9783 0.9830 0.9868 0.9898 0,9922 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9904 0.9927 0.9798 0.9842 0.9878 0.9906 0,9929 0.9803 0.9846 0.9881 0.9909 0.9931 0.9808 0.9850 0.9884 0.9911 0.9932 0.9812 0.9854 0.9887 0,9817 0.9857 0.9890 0.1131 0.1335 0.1562 0.1038 0.1230 0.1446 0.0708 0.0853 0.1020 0.1210 0.1423 0.0681 0.0823 0.0985 0.1170 0.1379 -1.1 -1.0 0.1251 0.1469 0.9896 0.9901 0.9913 0,9934 0.9916 0.9936 0.9920 0.9925 2.5 2.6 2.7 2.8 0,9038 0,9953 0.9065 0.9940 0,9955 0 9966 0.9941 0.9956 0.9067 0.9043 0,9957 0 9068 0.9945 0.9959 0.9969 0.9977 0.9046 0.9960 0 9970 0.9948 0.9961 0.9971 0.9949 0.9962 0,9972 0.9951 0.9963 0 9073 0.9952 0,9964 0 9074 -0.9 -08 -0.7 0.1841 0.2119 0.2420 0.2743 0.3085 0.1814 0.2090 0.2389 0.2709 0.3050 0.1788 0.2061 0.2358 0,2676 0.3015 0.1762 0.2033 0,2327 0.2643 0.2981 0.1736 0.2005 0.2296 0.2611 0.2946 0.1711 0.1977 0,2266 0,2578 0.2912 0.1685 0.1949 0.2236 0.2546 0.1660 0.1922 0.2206 02514 0.2843 0.1635 0.1894 0,2177 0.1611 0.1867 0,2148 0.2451 0.2776 0,9974 0.9981 0.9975 0,9982 0,9976 0.9982 0,9977 0.0083 0,9978 0.9984 0.9979 0,9985 0.9979 0.9985 0.9980 0 9086 -0.6 -0.5 0.2483 0.2810 0,9981 0.2877 2.9 0.9984 0.9986 -0.4 -0.3 -0.2 -0.1 -0.0 0.3446 0.3821 0.4207 0.4602 0.5000 0.3409 0.3783 0.4168 0.4562 0.4960 0.3372 0.3745 0.4129 0.4522 0.4920 0.3336 03707 0.4090 0.4483 0.4880 0.3300 0.3669 0,4052 0.4443 0.3264 0.3632 0.4013 0.3228 0.3594 0.3974 0.3192 0.3557 0.3936 0.4325 0.4721 0.3121 0.3483 0.3859 0.4247 0.4641 0.3156 0.3520 3.0 3.1 3.2 0.9987 0.9990 0.9993 0.9995 0.9997 0.9987 0.9991 0.9993 0,9995 0.9997 0.9987 0.9991 0.9994 0.9995 0.9997 0.9980 0.9992 0.9994 0.9996 0.9997 0.9990 0.9993 0.9995 0.9996 0.9997 0.9988 0.9991 0.9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9995 0.9996 0.9997 0.9990 0.9993 0.3897 0.9994 0.9995 0.9997 0.9998 0.4404 0.4364 0.4286 0.9996 0.9997 3.3 0.4840 0.4801 0.4761 0.4681 3.4 0,00 0.01 0.02 0,03 0.04 0,05 0,06 0,07 0,08 0.09 0.00 0.01 0,02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
Transcribed Image Text:Aea Area Standard Nomal Distribution Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0,06 0.07 0.08 0.09 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.5000 0.5398 0.5793 0.5080 0.5478 0.5871 0.6255 0,6628 05120 0.5517 0.5910 0.6293 0.6664 0.5199 0.5596 0.5987 0.5239 0.5636 0.6026 0.6406 0,6772 0.5279 0.5675 0.6064 0.5319 0.5714 0.6103 0.6480 0.5359 0.5753 0.6141 0.6517 0,6879 0.0 0.5040 0.5438 0.5832 0.6217 0.6591 0.5160 0.5557 0.5948 0.6331 0.6700 0.0003 0.0004 0.0005 0.0007 0.0010 -3.4 -3.3 0.0003 0.0005 0.0007 0.0010 0.0013 0.0003 0.0005 0.0007 0.0009 0.0013 0.0003 0.0005 0.0006 0.0009 0.0013 0.0003 0.0004 0.0006 0.0009 0.0012 0.0003 0.0004 0.0006 0.1 0.2 0.3 0.4 -3.2 -3.1 -3.0 0.0006 0.0008 0.0011 0.0003 0.0004 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0008 0.0011 0.0002 0.0003 0.0005 0.0007 0.6179 0.6554 0.6368 0.6736 0.6443 0.6808 0.0008 0.0012 0.0008 0.0011 0,6844 0.0010 0.6915 0.7257 0.7580 0.6950 0.7291 0.7611 0.7910 0.6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7673 0.7054 0.7389 0.7704 0.7995 0.8264 0.7088 0.7422 0.7734 0.8023 0.8289 0.7123 0.7454 0,7764 0.8051 0.8315 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0.7517 0.7823 0.7224 0.7549 0.7852 0,8133 0.8389 0,5 0.0019 0.0026 0.0035 0.0018 0.0025 0.0034 0.0018 0.0024 0.0033 0.0044 0.0059 0.0017 0.0023 0.0032 0.0043 0.0057 0.0016 0.0023 0.0031 0.0041 0.0055 0.0016 0.0022 0.0030 0.0040 0.0054 0.0015 0.0021 0.0029 0.0039 0.0052 0.0015 0.0021 0.0028 0.0038 0.0051 0.0014 0.0020 0.0027 0.0037 0.0049 0.0014 0.0019 0.0026 -29 0.6 -28 0.7 0.7881 0.8159 0.7967 0.8238 -2.7 -2.6 -2.5 0.0047 0.0062 0.0045 0.0060 0.0036 0.0048 0.8 0.8106 0.9 0.8186 0.8365 0.8413 0.8643 0.8849 0.9032 0.9192 0.8438 0.8665 0.8869 0.9049 0.9207 0,8461 0.8686 0.8888 0.9066 0.9222 0.8485 0.8708 0.8907 0.8531 0.8749 0.8944 0.9115 0.9265 0.8577 0.8790 0.8980 0.8599 0.8810 0.8997 0.8621 0,8830 0.9015 0.9177 0.9319 0.0082 0.0107 0.0139 0.0080 0.0104 0.0136 0.0078 0.0102 0.0132 0.0170 0,0217 0.0075 0.0099 0.0129 0.0073 0.0096 0.0125 0.0071 0.0094 0.0122 0.0158 0.0202 0.0069 0.0091 0.0119 0.0154 0.0197 0.0068 0.0089 0.0116 0.0150 0.0192 0.0066 0.0087 0.0113 0.0064 0.0084 0.0110 0.3 0.8508 0.8729 0.8925 0.8554 0.8770 0.8962 -2.4 -2.3 -2.2 1.0 1.1 1.2 1.3 1.4 -2.1 0.0179 0.0174 0.0166 0.0162 0.0146 0.0143 0.9082 0.9236 0.9099 0.9251 0.9131 0.9279 0.9147 0.9292 0.9162 0.9306 0.0228 -2.0 0.0222 0.0212 0.0207 0.0188 0.0183 -1.9 -1.8 -1.7 0.0287 0.0359 0.0446 0.0548 0.0668 0.0281 0.0351 0.0436 0.0537 0.0655 0,0274 0.0344 0.0427 0.0526 0.0643 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0329 0.0409 0.0505 0.0618 0,0256 0.0322 0.0401 0.0250 0.0314 0.0392 0.0485 0.0594 0.0244 0.0307 0.9345 0.9463 0.9564 0.9370 0.9484 0.9582 0.9664 0.9732 0.9382 0.9495 0.9591 0.9671 0.9738 0.9406 0.9515 0.9608 0.9418 0.9525 0.9616 0.0239 0.0301 0.0375 0.0465 0.0571 0,0233 0.0294 0.0367 0.0455 0.0559 1.5 0.9332 0.9452 0.9554 0.9641 0,9713 0.9357 0.9394 0.9505 0.9599 0.9429 0.9535 0.9625 0.9441 0.9545 0.9633 0,9706 0.9767 1.6 0.9474 1.7 0.0384 0.9649 0,9719 0.9573 0,9656 0.9726 0.9678 0,9744 0.9686 0,9750 0.0495 0.0606 0.0475 0.0582 -1.6 1.8 1.9 0.9693 0.9756 0.9699 0.9761 -1.5 -14 -1.3 -1.2 0.0808 0.0968 0.1151 0.1357 0.1587 0.0604 0.0838 0.1003 0.1190 0.1401 0,0793 0.0951 0.0778 0.0934 0.1112 0.1314 0.1539 0.0764 0.0918 0.1093 0.1292 0.1515 0.0749 0.0901 0.1075 0.1271 0.1492 0.0735 0.0885 0.1056 0.0721 0.0869 2.0 2.1 2.2 2.3 2.4 0.9772 0.9821 0.9861 0.9893 0,9918 0,9778 0.9826 0.9864 0.9783 0.9830 0.9868 0.9898 0,9922 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9904 0.9927 0.9798 0.9842 0.9878 0.9906 0,9929 0.9803 0.9846 0.9881 0.9909 0.9931 0.9808 0.9850 0.9884 0.9911 0.9932 0.9812 0.9854 0.9887 0,9817 0.9857 0.9890 0.1131 0.1335 0.1562 0.1038 0.1230 0.1446 0.0708 0.0853 0.1020 0.1210 0.1423 0.0681 0.0823 0.0985 0.1170 0.1379 -1.1 -1.0 0.1251 0.1469 0.9896 0.9901 0.9913 0,9934 0.9916 0.9936 0.9920 0.9925 2.5 2.6 2.7 2.8 0,9038 0,9953 0.9065 0.9940 0,9955 0 9966 0.9941 0.9956 0.9067 0.9043 0,9957 0 9068 0.9945 0.9959 0.9969 0.9977 0.9046 0.9960 0 9970 0.9948 0.9961 0.9971 0.9949 0.9962 0,9972 0.9951 0.9963 0 9073 0.9952 0,9964 0 9074 -0.9 -08 -0.7 0.1841 0.2119 0.2420 0.2743 0.3085 0.1814 0.2090 0.2389 0.2709 0.3050 0.1788 0.2061 0.2358 0,2676 0.3015 0.1762 0.2033 0,2327 0.2643 0.2981 0.1736 0.2005 0.2296 0.2611 0.2946 0.1711 0.1977 0,2266 0,2578 0.2912 0.1685 0.1949 0.2236 0.2546 0.1660 0.1922 0.2206 02514 0.2843 0.1635 0.1894 0,2177 0.1611 0.1867 0,2148 0.2451 0.2776 0,9974 0.9981 0.9975 0,9982 0,9976 0.9982 0,9977 0.0083 0,9978 0.9984 0.9979 0,9985 0.9979 0.9985 0.9980 0 9086 -0.6 -0.5 0.2483 0.2810 0,9981 0.2877 2.9 0.9984 0.9986 -0.4 -0.3 -0.2 -0.1 -0.0 0.3446 0.3821 0.4207 0.4602 0.5000 0.3409 0.3783 0.4168 0.4562 0.4960 0.3372 0.3745 0.4129 0.4522 0.4920 0.3336 03707 0.4090 0.4483 0.4880 0.3300 0.3669 0,4052 0.4443 0.3264 0.3632 0.4013 0.3228 0.3594 0.3974 0.3192 0.3557 0.3936 0.4325 0.4721 0.3121 0.3483 0.3859 0.4247 0.4641 0.3156 0.3520 3.0 3.1 3.2 0.9987 0.9990 0.9993 0.9995 0.9997 0.9987 0.9991 0.9993 0,9995 0.9997 0.9987 0.9991 0.9994 0.9995 0.9997 0.9980 0.9992 0.9994 0.9996 0.9997 0.9990 0.9993 0.9995 0.9996 0.9997 0.9988 0.9991 0.9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9995 0.9996 0.9997 0.9990 0.9993 0.3897 0.9994 0.9995 0.9997 0.9998 0.4404 0.4364 0.4286 0.9996 0.9997 3.3 0.4840 0.4801 0.4761 0.4681 3.4 0,00 0.01 0.02 0,03 0.04 0,05 0,06 0,07 0,08 0.09 0.00 0.01 0,02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
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