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(c) Why are the results from parts (a) and (b) so close? O A. The results are close because the confidence 94% is close to 100%. B. The results are close because 0.48(1- 0.48) = 0.2496 is very close to 0.25. C. The results are close because the margin of error 2% is less than 5%.

(c) Why are the results from parts (a) and (b) so close? O A. The results are close because the confidence 94% is close to 100%. B. The results are close because 0.48(1- 0.48) = 0.2496 is very close to 0.25. C. The results are close because the margin of error 2% is less than 5%.

MATLAB: An Introduction with Applications
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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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 2 percentage points with 94% confidence if he uses an estimate of 48% obtained from a poll? The sample size is 2206 . (Round up to the nearest integer.) (b) What sample size should be obtained if he wants to be within 2 percentage points with 94% confidence if he does not use any prior estimates? The sample size is 2211. (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 94% is close to 100%. B. The results are close because 0.48(1 - 0.48) = 0.2496 is very close to 0.25. O C. The results are close because the margin of error 2% is less than 5%.
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 2 percentage points with 94% confidence if he uses an estimate of 48% obtained from a poll? The sample size is 2206 . (Round up to the nearest integer.) (b) What sample size should be obtained if he wants to be within 2 percentage points with 94% confidence if he does not use any prior estimates? The sample size is 2211. (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 94% is close to 100%. B. The results are close because 0.48(1 - 0.48) = 0.2496 is very close to 0.25. O C. The results are close because the margin of error 2% is less than 5%.
Standard normal distribution table (page 1) Standard normal distribution table (page 2) Area Area Standard Normal 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 0.0003 0.0005 0.0007 0.0003 0.0005 0.0007 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.5040 0.5438 0.5832 0.5080 0.5478 0.5871 0.6255 0.6628 0.5120 0.5517 0.5910 0.5160 0.5557 0.5199 0.5596 0.5987 0.5239 0.5636 0.6026 -3.4 -3.3 -3.2 0.0003 0.0005 0.0006 0.0003 0.0004 0.0006 0.0009 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0002 0.0003 0.0005 0.0 0.1 0.2 0.3 0.5000 0.5398 0.5793 0.6179 0.6554 0.5279 0.5675 0.6064 0.5319 0.5714 0.6103 0.5359 0.5753 0.5948 0.6141 -3.1 -3.0 0.0008 0.0011 0.6293 0.0010 0.0013 0.0009 0.0013 0.0009 0.0013 0.0008 0.0012 0.0008 0.0011 0.0008 0.0011 0.0007 0.0007 0.0010 0.6217 0.6591 0.6331 0.6700 0.6368 0.6736 0.6406 0.6443 0.6808 0.6480 0.6844 0.6517 0.6879 0.0012 0.0010 0.4 0.6664 0.6772 -29 -28 -2.7 0.0018 0.0025 0.0034 0.0016 0.0023 0.0031 0.0015 0.0021 0.0028 0.0038 0.0051 0.0014 0.0020 0.0027 0.0037 0.0049 0.6950 0.7291 0.7611 0.7910 0.8186 0.6985 0.7324 0.7642 0.7157 0.7486 0.7794 0.7190 0.7517 0.7823 0.5 0.0019 0.0026 0.0035 0.0018 0.0024 0.0033 0.0017 0.0023 0.0032 0.0016 0.0022 0.0030 0.0015 0.0021 0.0029 0.0014 0.0019 0.0026 0.0036 0.6915 0.7257 0.7580 0.7019 0.7357 0.7673 0.7054 0.7389 0.7704 0.7088 0.7422 0.7734 0.8023 0.8289 0.7123 0.7454 0.7764 0.7224 0.7549 0.7852 0.8133 0.6 0.7 -2.6 -2.5 0.0047 0.0062 0.0045 0.0060 0.0044 0.0059 0.0043 0.0057 0.0041 0.0055 0.0039 0.0052 0.7881 0.8159 0.7939 0.8212 0.7967 0.8238 0.8106 0.8365 0.0040 0.8 0.7995 0.8264 0.8051 0.8315 0.8078 0.8340 0.0054 0.0048 0.9 0.8389 -2.4 -2.3 -2.2 0.0082 0.0107 0.0139 0.0078 0.0102 0.0132 0.0075 0.0099 0.0129 0.0073 0.0096 0.0125 0.0071 0.0094 0.0122 0.0069 0.0091 0.0119 0.8413 0.8643 0.8849 0.8461 0.8686 0.8888 0.8485 0.8708 0.8577 0.8790 0.8980 0.0064 0.0080 0.0104 0.0136 0.0068 0.0089 0.0116 0.0066 0.0087 0.0113 1.0 1.1 1.2 0.8438 0.8665 0.8869 0.8508 0.8729 0.8925 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0.8962 0.9131 0.8599 0.8810 0.8997 0.8621 0.8830 0.0084 0.0110 0.0143 0.0183 0.8907 0.90 15 0.0179 0.0228 0.0170 0.0217 0.0166 0.0212 0.0158 0.0202 0.9066 0.9222 0.9082 0.9236 0.9162 0.9306 -2.1 0.0174 0.0222 0.0162 0.0154 0.0150 0.0192 0.0146 0.0188 1.3 1.4 0.9032 0.9049 0.9207 0.9099 0.9147 0.9177 0.9319 -2.0 0.0207 0.0197 0.9192 0.9251 0.9279 0.9292 -1.9 -1.8 -1.7 0.0281 0.0351 0.0436 0.0274 0.0344 0.0427 0.0262 0.0329 0.0409 0.0505 0.0256 0.0322 0.0401 0.0495 0.9332 0.9452 0.9554 0.9345 0.9463 0.9564 0.9649 0.9719 0.9370 0.9484 0.9582 0.9664 0.9732 0.0250 0.0244 0.0307 0.0384 0.9357 0.0287 0.0359 0.0446 0.0548 0.0668 0.0268 0.0336 0.0418 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.0294 0.0367 1.5 1.6 1.7 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9406 0.9515 0.9608 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9699 0.9441 0.9545 0.9633 0.0314 0.0392 0.9474 0.9573 0.9656 0.9726 0.0537 0.0655 0.0526 0.0643 0.0516 0.0630 0.0475 0.0582 0.0455 0.0559 0.9693 0.9756 0.9678 -1.6 -1.5 0.0485 0.0594 1.8 1.9 0.9641 0.9713 0.9671 0.9738 0.9686 0.9750 0.9706 0.0618 0.0606 0.9744 0.9761 0.9767 -1.4 -13 -1.2 0.0808 0.0968 0.1151 0.0793 0.0951 0.1131 0.1335 0.1562 0.0735 0.0885 0.1056 0.1251 0.1469 0.0721 0.0869 0.1038 0.1230 0.1446 0.9778 0.9826 0.9864 0.9896 0.9920 0.9817 0.9857 0.9890 0.0778 0.0934 0.1112 0.1314 0.1539 0.0764 0.0918 0.1093 0.0749 0.0901 0.1075 0.0708 0.0853 0.1020 0.1210 0.0694 0.0838 0.1003 0.0681 0.0823 0.0985 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9893 0.9918 0.9783 0.9830 0.9868 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9808 0.9850 0.9884 0.9812 0.9854 0.9887 0.1292 0.1515 0.1271 0.1492 0.1190 -1.1 -1.0 0.1170 0.1379 0.9898 0.9922 0.9901 0.9925 0.9904 0.9927 0.9906 0.9929 0.9913 0.9934 0.1357 2.3 2.4 0.9909 0.9931 0.9911 0.9932 0.9916 0.9936 0.1587 0.1423 0.1401 -0.9 -08 -0.7 -0.6 0.1788 0.2061 0.2358 0.1762 0.2033 0.2327 0.1736 0.2005 0.2296 0.1685 0.1949 0.2236 0.1635 0.1894 0.2177 0.9938 0.9953 0.9965 0.0074 0.9940 0.9955 0.9966 0.0975 0.9952 0.9964 0.9974 0.9943 0.9957 0.9945 0.9959 0.9969 0.9946 0.9960 0.9970 0.0978 0.9948 0.9961 0.9971 0.9951 0.1841 0.2119 0.2420 0.1814 0.2090 0.2389 0.1711 0.1977 0.2266 0.1660 0.1922 0.2206 0.2514 0.1611 0.1867 0.2148 0.2451 2.5 2.6 2.7 0.9941 0.9956 0.9967 0.0076 0.9949 0.9962 0.9972 0.9963 0.9973 0.9968 0.0077 0.2743 0.2709 0.2676 0.2643 0.2611. 0.2578 0.2546 0.2483 2.8 0.0077 0.0070 0.0079 0.9080 0.0081
Transcribed Image Text:Standard normal distribution table (page 1) Standard normal distribution table (page 2) Area Area Standard Normal 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 0.0003 0.0005 0.0007 0.0003 0.0005 0.0007 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.5040 0.5438 0.5832 0.5080 0.5478 0.5871 0.6255 0.6628 0.5120 0.5517 0.5910 0.5160 0.5557 0.5199 0.5596 0.5987 0.5239 0.5636 0.6026 -3.4 -3.3 -3.2 0.0003 0.0005 0.0006 0.0003 0.0004 0.0006 0.0009 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0002 0.0003 0.0005 0.0 0.1 0.2 0.3 0.5000 0.5398 0.5793 0.6179 0.6554 0.5279 0.5675 0.6064 0.5319 0.5714 0.6103 0.5359 0.5753 0.5948 0.6141 -3.1 -3.0 0.0008 0.0011 0.6293 0.0010 0.0013 0.0009 0.0013 0.0009 0.0013 0.0008 0.0012 0.0008 0.0011 0.0008 0.0011 0.0007 0.0007 0.0010 0.6217 0.6591 0.6331 0.6700 0.6368 0.6736 0.6406 0.6443 0.6808 0.6480 0.6844 0.6517 0.6879 0.0012 0.0010 0.4 0.6664 0.6772 -29 -28 -2.7 0.0018 0.0025 0.0034 0.0016 0.0023 0.0031 0.0015 0.0021 0.0028 0.0038 0.0051 0.0014 0.0020 0.0027 0.0037 0.0049 0.6950 0.7291 0.7611 0.7910 0.8186 0.6985 0.7324 0.7642 0.7157 0.7486 0.7794 0.7190 0.7517 0.7823 0.5 0.0019 0.0026 0.0035 0.0018 0.0024 0.0033 0.0017 0.0023 0.0032 0.0016 0.0022 0.0030 0.0015 0.0021 0.0029 0.0014 0.0019 0.0026 0.0036 0.6915 0.7257 0.7580 0.7019 0.7357 0.7673 0.7054 0.7389 0.7704 0.7088 0.7422 0.7734 0.8023 0.8289 0.7123 0.7454 0.7764 0.7224 0.7549 0.7852 0.8133 0.6 0.7 -2.6 -2.5 0.0047 0.0062 0.0045 0.0060 0.0044 0.0059 0.0043 0.0057 0.0041 0.0055 0.0039 0.0052 0.7881 0.8159 0.7939 0.8212 0.7967 0.8238 0.8106 0.8365 0.0040 0.8 0.7995 0.8264 0.8051 0.8315 0.8078 0.8340 0.0054 0.0048 0.9 0.8389 -2.4 -2.3 -2.2 0.0082 0.0107 0.0139 0.0078 0.0102 0.0132 0.0075 0.0099 0.0129 0.0073 0.0096 0.0125 0.0071 0.0094 0.0122 0.0069 0.0091 0.0119 0.8413 0.8643 0.8849 0.8461 0.8686 0.8888 0.8485 0.8708 0.8577 0.8790 0.8980 0.0064 0.0080 0.0104 0.0136 0.0068 0.0089 0.0116 0.0066 0.0087 0.0113 1.0 1.1 1.2 0.8438 0.8665 0.8869 0.8508 0.8729 0.8925 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0.8962 0.9131 0.8599 0.8810 0.8997 0.8621 0.8830 0.0084 0.0110 0.0143 0.0183 0.8907 0.90 15 0.0179 0.0228 0.0170 0.0217 0.0166 0.0212 0.0158 0.0202 0.9066 0.9222 0.9082 0.9236 0.9162 0.9306 -2.1 0.0174 0.0222 0.0162 0.0154 0.0150 0.0192 0.0146 0.0188 1.3 1.4 0.9032 0.9049 0.9207 0.9099 0.9147 0.9177 0.9319 -2.0 0.0207 0.0197 0.9192 0.9251 0.9279 0.9292 -1.9 -1.8 -1.7 0.0281 0.0351 0.0436 0.0274 0.0344 0.0427 0.0262 0.0329 0.0409 0.0505 0.0256 0.0322 0.0401 0.0495 0.9332 0.9452 0.9554 0.9345 0.9463 0.9564 0.9649 0.9719 0.9370 0.9484 0.9582 0.9664 0.9732 0.0250 0.0244 0.0307 0.0384 0.9357 0.0287 0.0359 0.0446 0.0548 0.0668 0.0268 0.0336 0.0418 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.0294 0.0367 1.5 1.6 1.7 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9406 0.9515 0.9608 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9699 0.9441 0.9545 0.9633 0.0314 0.0392 0.9474 0.9573 0.9656 0.9726 0.0537 0.0655 0.0526 0.0643 0.0516 0.0630 0.0475 0.0582 0.0455 0.0559 0.9693 0.9756 0.9678 -1.6 -1.5 0.0485 0.0594 1.8 1.9 0.9641 0.9713 0.9671 0.9738 0.9686 0.9750 0.9706 0.0618 0.0606 0.9744 0.9761 0.9767 -1.4 -13 -1.2 0.0808 0.0968 0.1151 0.0793 0.0951 0.1131 0.1335 0.1562 0.0735 0.0885 0.1056 0.1251 0.1469 0.0721 0.0869 0.1038 0.1230 0.1446 0.9778 0.9826 0.9864 0.9896 0.9920 0.9817 0.9857 0.9890 0.0778 0.0934 0.1112 0.1314 0.1539 0.0764 0.0918 0.1093 0.0749 0.0901 0.1075 0.0708 0.0853 0.1020 0.1210 0.0694 0.0838 0.1003 0.0681 0.0823 0.0985 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9893 0.9918 0.9783 0.9830 0.9868 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9808 0.9850 0.9884 0.9812 0.9854 0.9887 0.1292 0.1515 0.1271 0.1492 0.1190 -1.1 -1.0 0.1170 0.1379 0.9898 0.9922 0.9901 0.9925 0.9904 0.9927 0.9906 0.9929 0.9913 0.9934 0.1357 2.3 2.4 0.9909 0.9931 0.9911 0.9932 0.9916 0.9936 0.1587 0.1423 0.1401 -0.9 -08 -0.7 -0.6 0.1788 0.2061 0.2358 0.1762 0.2033 0.2327 0.1736 0.2005 0.2296 0.1685 0.1949 0.2236 0.1635 0.1894 0.2177 0.9938 0.9953 0.9965 0.0074 0.9940 0.9955 0.9966 0.0975 0.9952 0.9964 0.9974 0.9943 0.9957 0.9945 0.9959 0.9969 0.9946 0.9960 0.9970 0.0978 0.9948 0.9961 0.9971 0.9951 0.1841 0.2119 0.2420 0.1814 0.2090 0.2389 0.1711 0.1977 0.2266 0.1660 0.1922 0.2206 0.2514 0.1611 0.1867 0.2148 0.2451 2.5 2.6 2.7 0.9941 0.9956 0.9967 0.0076 0.9949 0.9962 0.9972 0.9963 0.9973 0.9968 0.0077 0.2743 0.2709 0.2676 0.2643 0.2611. 0.2578 0.2546 0.2483 2.8 0.0077 0.0070 0.0079 0.9080 0.0081
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