A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 3 percentage points with 95% confidence if (a) he uses a previous estimate of 26%? (b) he does not use any prior estimates? Click here to view the standard normal distribution table (page 1), Click here to view the standard normal distribution table (page 2). (a) n= (Round up to the nearest integer.)

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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Question #7

A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 3 percentage points with 95% confidence if
(a) he uses a previous estimate of 26%?
(b) he does not use any prior estimates?
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
.....
(а) n%3D
(Round up to the nearest integer.)
Transcribed Image Text:A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 3 percentage points with 95% confidence if (a) he uses a previous estimate of 26%? (b) he does not use any prior estimates? Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). ..... (а) n%3D (Round up to the nearest integer.)
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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