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 5 percentage points with 99% confidence if (a) he uses a previous estimate of 22%? (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.)

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Author:Amos Gilat
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Question
Standard normal distribution table (page 1)
Standard normal distribution table (page 2)
Area
Area
Standard Normal Distribution
Standard Nomal 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
-3.4
-3.3
-3.2
0.0003
0.0005
0.0007
0.0010
0.0013
0.0003
0.0005
0.0007
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0002
0.0003
0.0005
0.5000
0.5398
0.5793
0.5080
0.5478
0.5871
0.5160
0.5557
0.5948
0.5239
0.5636
0.6026
0.5359
0.5753
0.6141
0.6517
0.6879
0.0003
0.0005
0.0003
0.0004
0.0006
0.0003
0.0004
0.0005
0.0003
0.0004
0.0005
0.5040
0.5438
0.5832
0.5120
0.5517
0.5910
0.5199
0.5596
0.5987
0.5279
0.5675
0.6064
0.5319
0.5714
0.6103
0.0
0.1
0.2
0.0006
-3.1
-3.0
0.0009
0.0013
0.0009
0.0013
0.0009
0.0012
0.0008
0.0012
0.0008
0.0011
0.0008
0.0011
0.0008
0.0011
0.0007
0.0010
0.6179
0.6554
0.6255
0.6628
0.6368
0.6736
0.0007
0.3
0.4
0.6217
0.6591
0.6293
0.6331
0.6700
0.6406
0.6772
0.6443
0.6480
0.6844
0.0010
0.6664
0.6808
-29
-28
0.0018
0.0024
0.0033
0.0017
0.0023
0.0032
0.0016
0.0023
0.0031
0.0015
0.0021
0.0029
0.0015
0.0021
0.0028
0.0038
0.0051
0.0014
0.0019
0.0026
0.6915
0.7257
0.7580
0.6950
0.7291
0.7611
0.6985
0.7324
0.7642
0.7054
0.7389
0.7704
0.7088
0.7422
0.7734
0.7190
0.7517
0.7823
0.0019
0.0026
0.0035
0.0018
0.0025
0.0034
0.0016
0.0022
0.0030
0.0014
0.0020
0.0027
0.7157
0.7486
0.5
0.7019
0.7357
0.7673
0.7123
0.7454
0.7764
0.7224
0.7549
0.7852
0.8133
0.8389
0.6
-2.7
-2.6
-2.5
0.7
0.7794
0.0047
0.0062
0.0045
0.0060
0.0044
0.0059
0.0043
0.0057
0.0041
0.0055
0.0040
0.0054
0.0039
0.0052
0.0037
0.0049
0.0036
0.0048
0.8
0.9
0.7881
0.8159
0.7910
0.8186
0.7939
0.8212
0.7967
0.8238
0.7995
0.8264
0.8023
0.8289
0.8078
0.8340
0.8051
0.8106
0.8315
0.8365
0.0075
0.0099
0.0129
0.0071
0.0094
0.0122
0.0068
0.0064
0.0084
0.0110
0.8413
0.8643
0.8849
0.9032
0.9192
0.8461
0.8686
0.8888
0.8577
0.8790
0.8980
0.8599
-2.4
-2.3
-2.2
0.0082
0.0107
0.0139
0.0080
0.0104
0.0136
0.0078
0.0102
0.0132
0.0073
0.0096
0.0125
0.0069
0.0091
0.0119
0.0154
0.0197
0.0089
0.0116
0.0150
0.0192
0.0066
0.0087
0.0113
0.0146
0.0188
1.0
1.1
1.2
0.8438
0.8665
0.8869
0.8485
0.8708
0.8907
0.8508
0.8729
0.8925
0.9099
0.8531
0.8749
0.8944
0.8554
0.8770
0.8962
0.9131
0.8810
0.8997
0.9162
0.9306
0.8621
0.8830
0.90 15
-2.1
-2.0
0.0179
0.0228
0.0174
0.0222
0.0170
0.0217
0.0166
0.0212
0.0162
0.0207
0.0158
0.0202
0.0143
0.0183
1.3
1.4
0.9049
0.9207
0.9066
0.9222
0.9082
0.9236
0.9115
0.9265
0.9147
0.9292
0.9177
0.9319
0.9251
0.9279
-1.9
-1.8
-1.7
-1.6
-1.5
0.0287
0.0359
0.0446
0.0256
0.0322
0.0401
0.0495
0.0606
0.0250
0.0314
0.0392
1.5
1.6
1.7
0.9357
0.9474
0.9573
0.9370
0.9484
0.9582
0.9429
0.9535
0.9625
0.0274
0.0281
0.0351
0.0436
0.0268
0.0336
0.0418
0.0516
0.0630
0.0262
0.0329
0.0409
0.0505
0.0618
0.0239
0.0301
0.0375
0.9332
0.9452
0.9554
0.9345
0.9463
0.9564
0.9394
0.9505
0.9599
0.0244
0.0307
0.0233
0.0294
0.0367
0.9382
0.9495
0.9591
0.9671
0.9738
0.0344
0.0427
0.0526
0.9406
0.9515
0.9418
0.9525
0.9441
0.9545
0.9633
0.9616
0.9693
0.9756
0.0384
0.9608
0.0548
0.0668
0.0475
0.0582
0.9664
0.9732
0.9678
0.9744
0.9706
0.9767
0.0537
0.0485
0.0594
0.0455
0.0559
1.8
1.9
0.9641
0.9713
0.9656
0.9726
0.9686
0.0465
0.0571
0.9649
0.9719
0.9699
0.9761
0.0655
0.0643
0.9750
0.0793
0.0951
0.1131
0.0778
0.0934
0.1112
0.0764
0.0918
0.1093
0.1292
0.1515
0.0749
0.0735
0.0885
0.1056
0.0721
0.0869
0.1038
0.0708
0.0853
0.1020
2.0
2.1
2.2
0.9778
0.9793
0.9798
0.9842
0.9878
0.9808
0.9850
0.9812
0.9854
0.9887
0.9913
0.9934
-1.4
-13
0.0808
0.0968
0.1151
0.0901
0.1075
0.1271
0.1492
0.0694
0.0838
0.1003
0.0681
0.0823
0.0985
0.1170
0.1379
0.9772
0.9821
0.9861
0.9783
0.9830
0.9868
0.9788
0.9834
0.9871
0.9803
0.9846
0.9881
0.9817
0.9857
0.9890
0.9826
0.9838
0.9875
0.9864
0.9896
0.9920
-1.2
0.9884
-1.1
-1.0
0.1357
0.1587
0.1335
0.1562
0.1314
0.1539
0.1251
0.1469
0.1230
0.1446
0.1210
0.1423
0.1190
0.1401
2.3
2.4
0.9893
0.9918
0.9901
0.9925
0.9906
0.9929
0.9898
0.9904
0.9927
0.9909
0.9911
0.9916
0.9936
0.9922
0.9931
0.9932
-0.9
-08
-0 7.
0.1736
0.2005
0 2296
2.5
2.6
27
0.9940
0.9955
0 0066
0.9941
0.9956
0 0067
0.9951
0.9963
n 0073
0.9948
0.9949
0.9962
O 0072
0.1762
0.1711
0.1685
0.1949
0 2236
0.1660
0.1922
02206
0.1635
0.1841
0.2119
02420
0.1814
0.2090
0 2380
0.1788
0.2061
0 2358
0.2033
0 2327
0.1977
0 2266
0.1894
0 2177
0.1611
0.1867
0.9938
0.9953
n 0065
0.9943
0.9957
O 0068
0.9945
0.9959
0 0060
0.9946
0.9960
n 0070
0.9961
0 0071
0.9952
0.9964
0 0074
02148
Transcribed Image Text:Standard normal distribution table (page 1) Standard normal distribution table (page 2) Area Area Standard Normal Distribution Standard Nomal 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 -3.4 -3.3 -3.2 0.0003 0.0005 0.0007 0.0010 0.0013 0.0003 0.0005 0.0007 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0002 0.0003 0.0005 0.5000 0.5398 0.5793 0.5080 0.5478 0.5871 0.5160 0.5557 0.5948 0.5239 0.5636 0.6026 0.5359 0.5753 0.6141 0.6517 0.6879 0.0003 0.0005 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0003 0.0004 0.0005 0.5040 0.5438 0.5832 0.5120 0.5517 0.5910 0.5199 0.5596 0.5987 0.5279 0.5675 0.6064 0.5319 0.5714 0.6103 0.0 0.1 0.2 0.0006 -3.1 -3.0 0.0009 0.0013 0.0009 0.0013 0.0009 0.0012 0.0008 0.0012 0.0008 0.0011 0.0008 0.0011 0.0008 0.0011 0.0007 0.0010 0.6179 0.6554 0.6255 0.6628 0.6368 0.6736 0.0007 0.3 0.4 0.6217 0.6591 0.6293 0.6331 0.6700 0.6406 0.6772 0.6443 0.6480 0.6844 0.0010 0.6664 0.6808 -29 -28 0.0018 0.0024 0.0033 0.0017 0.0023 0.0032 0.0016 0.0023 0.0031 0.0015 0.0021 0.0029 0.0015 0.0021 0.0028 0.0038 0.0051 0.0014 0.0019 0.0026 0.6915 0.7257 0.7580 0.6950 0.7291 0.7611 0.6985 0.7324 0.7642 0.7054 0.7389 0.7704 0.7088 0.7422 0.7734 0.7190 0.7517 0.7823 0.0019 0.0026 0.0035 0.0018 0.0025 0.0034 0.0016 0.0022 0.0030 0.0014 0.0020 0.0027 0.7157 0.7486 0.5 0.7019 0.7357 0.7673 0.7123 0.7454 0.7764 0.7224 0.7549 0.7852 0.8133 0.8389 0.6 -2.7 -2.6 -2.5 0.7 0.7794 0.0047 0.0062 0.0045 0.0060 0.0044 0.0059 0.0043 0.0057 0.0041 0.0055 0.0040 0.0054 0.0039 0.0052 0.0037 0.0049 0.0036 0.0048 0.8 0.9 0.7881 0.8159 0.7910 0.8186 0.7939 0.8212 0.7967 0.8238 0.7995 0.8264 0.8023 0.8289 0.8078 0.8340 0.8051 0.8106 0.8315 0.8365 0.0075 0.0099 0.0129 0.0071 0.0094 0.0122 0.0068 0.0064 0.0084 0.0110 0.8413 0.8643 0.8849 0.9032 0.9192 0.8461 0.8686 0.8888 0.8577 0.8790 0.8980 0.8599 -2.4 -2.3 -2.2 0.0082 0.0107 0.0139 0.0080 0.0104 0.0136 0.0078 0.0102 0.0132 0.0073 0.0096 0.0125 0.0069 0.0091 0.0119 0.0154 0.0197 0.0089 0.0116 0.0150 0.0192 0.0066 0.0087 0.0113 0.0146 0.0188 1.0 1.1 1.2 0.8438 0.8665 0.8869 0.8485 0.8708 0.8907 0.8508 0.8729 0.8925 0.9099 0.8531 0.8749 0.8944 0.8554 0.8770 0.8962 0.9131 0.8810 0.8997 0.9162 0.9306 0.8621 0.8830 0.90 15 -2.1 -2.0 0.0179 0.0228 0.0174 0.0222 0.0170 0.0217 0.0166 0.0212 0.0162 0.0207 0.0158 0.0202 0.0143 0.0183 1.3 1.4 0.9049 0.9207 0.9066 0.9222 0.9082 0.9236 0.9115 0.9265 0.9147 0.9292 0.9177 0.9319 0.9251 0.9279 -1.9 -1.8 -1.7 -1.6 -1.5 0.0287 0.0359 0.0446 0.0256 0.0322 0.0401 0.0495 0.0606 0.0250 0.0314 0.0392 1.5 1.6 1.7 0.9357 0.9474 0.9573 0.9370 0.9484 0.9582 0.9429 0.9535 0.9625 0.0274 0.0281 0.0351 0.0436 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0329 0.0409 0.0505 0.0618 0.0239 0.0301 0.0375 0.9332 0.9452 0.9554 0.9345 0.9463 0.9564 0.9394 0.9505 0.9599 0.0244 0.0307 0.0233 0.0294 0.0367 0.9382 0.9495 0.9591 0.9671 0.9738 0.0344 0.0427 0.0526 0.9406 0.9515 0.9418 0.9525 0.9441 0.9545 0.9633 0.9616 0.9693 0.9756 0.0384 0.9608 0.0548 0.0668 0.0475 0.0582 0.9664 0.9732 0.9678 0.9744 0.9706 0.9767 0.0537 0.0485 0.0594 0.0455 0.0559 1.8 1.9 0.9641 0.9713 0.9656 0.9726 0.9686 0.0465 0.0571 0.9649 0.9719 0.9699 0.9761 0.0655 0.0643 0.9750 0.0793 0.0951 0.1131 0.0778 0.0934 0.1112 0.0764 0.0918 0.1093 0.1292 0.1515 0.0749 0.0735 0.0885 0.1056 0.0721 0.0869 0.1038 0.0708 0.0853 0.1020 2.0 2.1 2.2 0.9778 0.9793 0.9798 0.9842 0.9878 0.9808 0.9850 0.9812 0.9854 0.9887 0.9913 0.9934 -1.4 -13 0.0808 0.0968 0.1151 0.0901 0.1075 0.1271 0.1492 0.0694 0.0838 0.1003 0.0681 0.0823 0.0985 0.1170 0.1379 0.9772 0.9821 0.9861 0.9783 0.9830 0.9868 0.9788 0.9834 0.9871 0.9803 0.9846 0.9881 0.9817 0.9857 0.9890 0.9826 0.9838 0.9875 0.9864 0.9896 0.9920 -1.2 0.9884 -1.1 -1.0 0.1357 0.1587 0.1335 0.1562 0.1314 0.1539 0.1251 0.1469 0.1230 0.1446 0.1210 0.1423 0.1190 0.1401 2.3 2.4 0.9893 0.9918 0.9901 0.9925 0.9906 0.9929 0.9898 0.9904 0.9927 0.9909 0.9911 0.9916 0.9936 0.9922 0.9931 0.9932 -0.9 -08 -0 7. 0.1736 0.2005 0 2296 2.5 2.6 27 0.9940 0.9955 0 0066 0.9941 0.9956 0 0067 0.9951 0.9963 n 0073 0.9948 0.9949 0.9962 O 0072 0.1762 0.1711 0.1685 0.1949 0 2236 0.1660 0.1922 02206 0.1635 0.1841 0.2119 02420 0.1814 0.2090 0 2380 0.1788 0.2061 0 2358 0.2033 0 2327 0.1977 0 2266 0.1894 0 2177 0.1611 0.1867 0.9938 0.9953 n 0065 0.9943 0.9957 O 0068 0.9945 0.9959 0 0060 0.9946 0.9960 n 0070 0.9961 0 0071 0.9952 0.9964 0 0074 02148
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 5 percentage points with 99% confidence if
(a) he uses a previous estimate of 22%?
(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.)
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 5 percentage points with 99% confidence if (a) he uses a previous estimate of 22%? (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.)
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