(a) Describe the sampling distribution of p, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of p below. A. Approximately normal because ns0.05N and np(1 - p)< 10 B. Approximately normal because ns0.05N and np(1 -p) 2 10 C. Not normal because ns 0.05N and np(1 - p) 2 10 D. Not normal because ns0.05N and np(1-p) < 10 Determine the mean of the sampling distribution of p. HA = 0.32 (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of p. (Round to three decimal places as needed.)

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
According to a survey in a country, 32% of adults do not own a credit card. Suppose a simple random sample of 400 adults is obtained. Complete parts (a) through (d) below.
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
.....
(a) Describe the sampling distribution of p, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of p below.
A. Approximately normal because n<0.05N and np(1 - p) < 10
B. Approximately normal because n<0.05N and np(1 - p) > 10
C. Not normal because n <0.05N and np(1 – p) 2 10
D. Not normal because ns0.05N and np(1 - p) < 10
Determine the mean of the sampling distribution of p.
HA = 0.32 (Round to two decimal places as needed.)
Determine the standard deviation of the sampling distribution of p.
(Round to three decimal places as needed.)
Transcribed Image Text:According to a survey in a country, 32% of adults do not own a credit card. Suppose a simple random sample of 400 adults is obtained. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). ..... (a) Describe the sampling distribution of p, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of p below. A. Approximately normal because n<0.05N and np(1 - p) < 10 B. Approximately normal because n<0.05N and np(1 - p) > 10 C. Not normal because n <0.05N and np(1 – p) 2 10 D. Not normal because ns0.05N and np(1 - p) < 10 Determine the mean of the sampling distribution of p. HA = 0.32 (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of p. (Round to three decimal places as needed.)
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Area
Area-
Standard Normal Distribution
Standard Normal Distribution
0,04
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
0.05
0.06
0,07
0.08
0.09
0,0003
0.0005
0.0006
-34
0.0003
0.0005
0.0007
0.0003
0.0005
0.0007
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0003
0.0004
0.0005
0.0003
0.0004
0.0005
0.0003
0.0002
0.0003
0.0005
0.5080
0.5478
0.5871
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0.6628
0.0
0.5000
0.5398
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0.5040
0.5120
0,5517
0.5910
0.6293
0.6664
0.5160
0.5557
0.5948
0.6331
0.6700
0.5199
0.5596
0.5987
0.6368
0.6736
0.5239
0,5636
0.6026
0.6406
0.6772
0.5279
0.5675
0.6064
0.6443
0.5319
0.5714
0.6103
0.6480
0.6844
0.5359
0.5753
0.6141
0.6517
0.6879
-3.3
-3.2
0.0004
0.5438
0.5832
0.6217
0.6591
0.1
0.2
0.0006
0.0009
0.0012
0.0008
0.0011
-3.1
0.0010
0.0013
0.0009
0.0009
0.0008
0.0008
0.0008
0.0007
0.0007
0.0010
0.6179
0.6554
-3.0
0.0013
0.0013
0.0012
0.0011
0.0011
0.0010
0.3
0.4
0.6808
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0.0044
0.0059
0.0016
0.0022
0.0030
0.0014
0.0019
0.0026
0.0036
0.0048
-29
-2.8
0.0019
0.0026
0.0035
0.0018
0.0025
0.0034
0.0017
0.0023
0.0032
0.0043
0.0057
0.0015
0.0016
0.0023
0.0031
0.0014
0.0020
0.0027
0.0037
0.0049
0.0015
0.6915
0.7257
0.7580
0.7881
0.8159
0,6950
0.7291
0.7611
0.6985
0.7324
0.7642
0.7939
0.8212
0.7019
0.7357
0.7673
0.7967
0.8238
0.7054
0.7389
0,7704
0.7088
0.7422
0.7734
0.7123
0.7454
0.7764
0.8051
0.8315
0.7157
0.7486
0.7794
0.8078
0.7190
0.7517
0,7823
0.8106
0.8365
0.7224
0.7549
0.7852
0.5
0.6
0.0021
0.0021
0.0028
-2.7
0.0029
0,7
-2.6
-25
0.0047
0.0062
0.0045
0.0060
0,0041
0.0055
0.0040
0.0054
0.0039
0.0052
0.0038
0.0051
0.7910
0.7995
0.8264
0.8023
0.8289
0.8
0.8133
0.9
0.8186
0.8340
0.8389
0.0075
0.0099
0.0129
0.0166
0.0212
0.0073
0.0096
0.0125
0.0162
0.0207
0.0069
0.0091
-24
-2.3
-2.2
-2.1
-2.0
0.0082
0.0107
0.0139
0.0179
0.0228
0.0080
0.0104
0.0136
0.0174
0.0222
0.0078
0.0102
0.0132
0.0170
0.0217
0.0071
0.0094
0.0122
0.0158
0.0202
0.0068
0.0089
0.0116
0.0150
0.0192
0.0066
0.0087
0.0113
0.0146
0.0188
0.0064
0.0084
0.0110
0.0143
0.0183
0.8461
0.8686
1.0
1.1
1.2
1.3
1.4
0.8413
0.8643
0.8849
0.9032
0,9192
0.8508
0.8729
0.8925
0.9099
0.9251
0.8531
0.8749
0.8944
0.9115
0.9265
08554
0.8770
0.8962
0.9131
0.9279
0.8577
0.8790
0.8980
0.9147
0.9292
0.8599
0.8810
0.8997
0.9162
0,9306
0,8438
0.8665
0.0119
0.0154
0.0197
0.8888
0.9066
0.9222
0,8485
0.8708
0.8907
0.9082
0.9236
0,8621
0.8830
0.90 15
0.9177
0.9319
0.8869
0.9049
0.9207
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
0.0256
0.0322
0.0401
0.0495
0.0606
0.0250
0.0314
0.0392
0.0485
0.0594
0.0244
0.0307
0.0384
0.0475
0.0582
0.0239
0.0301
0.0375
0.0465
0.0571
0.0233
0.0294
0.0367
0.0455
0.0559
-1.9
1.5
1.6
0.9332
0.9452
0.9554
0.9418
0.9525
0.9616
0,0345
0.9357
0.9474
0.9573
0.9656
0.9726
0.9370
0.9484
0.9582
0.9664
0.9732
0.9382
0.9495
0.9591
0.9671
0.9738
0.9394
0.9505
0.9599
0.9678
0.9744
0.9406
0.9515
0.9608
0,9429
0.9535
0.9625
0.9699
0.9761
0,9441
-1.8
-1.7
0.9463
0.9564
0.9649
0.9719
0.9545
0.9633
0.9706
0.9767
1.7
0.0505
0.0618
-1.6
0.9641
0.9713
0.9693
0.9756
1.8
0.9686
-1.5
1.9
0.9750
0.0808
0.0968
0.1151
0.1357
0.1587
0.0793
0.0951
0.1131
0.0764
0.0918
0.1093
0.1292
0.1515
0.0749
0.0901
0.1075
0.0735
0.0885
0.1056
0.1251
0.1469
-14
-13
-1.2
-1.1
-1.0
0.0778
0.0934
0.1112
0.0721
0.0869
0.0708
0.0853
0.1020
0.0694
0.0838
0.1003
0.0681
0.0823
0.0985
0.9772
0.9821
0.9861
0.9778
0.9826
0.9864
0.9896
0.9920
0.9783
0.9830
0.9868
0.9898
0.9922
0.9788
0.9834
0.9871
0.9901
0.9925
0.9793
0.9838
0.9875
0.9904
0.9927
0.9798
0.9842
0.9878
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
0.9913
0.9934
0.9817
0.9857
0.9890
0.9916
0.9936
2.0
2.1
2.2
0.1038
0.1335
0.1562
0.1230
0.1446
0.1314
0.1271
0.1492
0.1210
0.1423
0.1190
0.1401
0.1170
0.9906
0.9929
2.3
0.1539
0.1379
0.9893
0.9918
2.4
0.1841
0.2119
0,2420
0.2743
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
0.1711
0.1977
0,2266
0.2578
0.2912
0.1685
0.1949
0,2236
02546
0.2877
0.1660
0.1922
0.2206
02514
0.1635
0.1894
0,2177
0.2483
0.2810
0.1611
0.1867
0.2148
0.9938
0.9953
0.9965
0.9974
0.9981
0.9940
0.9955
0.9966
0.9975
0.9982
0.9943
0.9957
0.9968
0.9977
0.9983
0.9945
0.9959
0.9969
0.9977
0.9949
0.9962
0.9972
0.9979
0.9985
0.9952
0.9964
0.9974
-0.9
0.9946
0.9960
0.9970
0.9978
0.9948
0.9961
0.9971
0.9979
0.9951
0.9963
0.9973
0,9980
0,9986
2.5
0.9941
0.9956
0.9967
0,9976
0.9982
-08
-0.7
2.6
2.7
0.2611
0.2451
0,9981
0.9986
-0.6
2.8
-0,5
0.3085
0.2946
0,2843
0,2776
2.9
0.9984
0.9984
0.9985
0.3446
0.3821
0.4207
0.4602
0.5000
0.3372
0.3745
0.4129
0.4522
0.4920
0.3336
0.3707
0.4090
0.4483
0.4880
0.9989
0.9992
0.9995
0.9996
0.9997
0.3300
0.3669
-04
-03
-0.2
0.3409
0.3783
0.4168
0.4562
0.4960
0.3228
0.3504
0.3974
0.4364
0.4761
0.3121
0,3483
0.3859
0,4247
0.4641
0.9987
0.9991
0.9994
0.9989
0,9992
0.9994
0.9996
0.9997
0.9989
0,9992
0.9994
0,9996
0.9997
0.3156
0.9987
0,9991
0.9993
0,9995
0.9997
0.9988
0.9990
0.9993
0.9995
0,9997
0.9998
0.3264
0.3632
0.3192
0.3557
0.3936
0.4325
0.4721
3.0
0.9987
0.9988
0,9990
0.9990
0.9993
0.9995
0.9997
0.9991
0.9994
0.9996
0,9997
0.9902
0.9994
0.9006
0.9997
0.9993
0.9995
0.3520
0.3897
0.4286
0.4681
3.1
0.4052
0.4443
0.4840
0.4013
0.4404
0.4801
3.2
3.3
3.4
0,9995
0.9997
-0.1
0,9996
-0.0
0.9997
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:Page 1 Page 2 Area Area- Standard Normal Distribution Standard Normal Distribution 0,04 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 0.05 0.06 0,07 0.08 0.09 0,0003 0.0005 0.0006 -34 0.0003 0.0005 0.0007 0.0003 0.0005 0.0007 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0003 0.0004 0.0005 0.0003 0.0002 0.0003 0.0005 0.5080 0.5478 0.5871 0.6255 0.6628 0.0 0.5000 0.5398 0.5793 0.5040 0.5120 0,5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.6331 0.6700 0.5199 0.5596 0.5987 0.6368 0.6736 0.5239 0,5636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.6443 0.5319 0.5714 0.6103 0.6480 0.6844 0.5359 0.5753 0.6141 0.6517 0.6879 -3.3 -3.2 0.0004 0.5438 0.5832 0.6217 0.6591 0.1 0.2 0.0006 0.0009 0.0012 0.0008 0.0011 -3.1 0.0010 0.0013 0.0009 0.0009 0.0008 0.0008 0.0008 0.0007 0.0007 0.0010 0.6179 0.6554 -3.0 0.0013 0.0013 0.0012 0.0011 0.0011 0.0010 0.3 0.4 0.6808 0.0018 0.0024 0.0033 0.0044 0.0059 0.0016 0.0022 0.0030 0.0014 0.0019 0.0026 0.0036 0.0048 -29 -2.8 0.0019 0.0026 0.0035 0.0018 0.0025 0.0034 0.0017 0.0023 0.0032 0.0043 0.0057 0.0015 0.0016 0.0023 0.0031 0.0014 0.0020 0.0027 0.0037 0.0049 0.0015 0.6915 0.7257 0.7580 0.7881 0.8159 0,6950 0.7291 0.7611 0.6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7673 0.7967 0.8238 0.7054 0.7389 0,7704 0.7088 0.7422 0.7734 0.7123 0.7454 0.7764 0.8051 0.8315 0.7157 0.7486 0.7794 0.8078 0.7190 0.7517 0,7823 0.8106 0.8365 0.7224 0.7549 0.7852 0.5 0.6 0.0021 0.0021 0.0028 -2.7 0.0029 0,7 -2.6 -25 0.0047 0.0062 0.0045 0.0060 0,0041 0.0055 0.0040 0.0054 0.0039 0.0052 0.0038 0.0051 0.7910 0.7995 0.8264 0.8023 0.8289 0.8 0.8133 0.9 0.8186 0.8340 0.8389 0.0075 0.0099 0.0129 0.0166 0.0212 0.0073 0.0096 0.0125 0.0162 0.0207 0.0069 0.0091 -24 -2.3 -2.2 -2.1 -2.0 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0104 0.0136 0.0174 0.0222 0.0078 0.0102 0.0132 0.0170 0.0217 0.0071 0.0094 0.0122 0.0158 0.0202 0.0068 0.0089 0.0116 0.0150 0.0192 0.0066 0.0087 0.0113 0.0146 0.0188 0.0064 0.0084 0.0110 0.0143 0.0183 0.8461 0.8686 1.0 1.1 1.2 1.3 1.4 0.8413 0.8643 0.8849 0.9032 0,9192 0.8508 0.8729 0.8925 0.9099 0.9251 0.8531 0.8749 0.8944 0.9115 0.9265 08554 0.8770 0.8962 0.9131 0.9279 0.8577 0.8790 0.8980 0.9147 0.9292 0.8599 0.8810 0.8997 0.9162 0,9306 0,8438 0.8665 0.0119 0.0154 0.0197 0.8888 0.9066 0.9222 0,8485 0.8708 0.8907 0.9082 0.9236 0,8621 0.8830 0.90 15 0.9177 0.9319 0.8869 0.9049 0.9207 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 0.0256 0.0322 0.0401 0.0495 0.0606 0.0250 0.0314 0.0392 0.0485 0.0594 0.0244 0.0307 0.0384 0.0475 0.0582 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.0294 0.0367 0.0455 0.0559 -1.9 1.5 1.6 0.9332 0.9452 0.9554 0.9418 0.9525 0.9616 0,0345 0.9357 0.9474 0.9573 0.9656 0.9726 0.9370 0.9484 0.9582 0.9664 0.9732 0.9382 0.9495 0.9591 0.9671 0.9738 0.9394 0.9505 0.9599 0.9678 0.9744 0.9406 0.9515 0.9608 0,9429 0.9535 0.9625 0.9699 0.9761 0,9441 -1.8 -1.7 0.9463 0.9564 0.9649 0.9719 0.9545 0.9633 0.9706 0.9767 1.7 0.0505 0.0618 -1.6 0.9641 0.9713 0.9693 0.9756 1.8 0.9686 -1.5 1.9 0.9750 0.0808 0.0968 0.1151 0.1357 0.1587 0.0793 0.0951 0.1131 0.0764 0.0918 0.1093 0.1292 0.1515 0.0749 0.0901 0.1075 0.0735 0.0885 0.1056 0.1251 0.1469 -14 -13 -1.2 -1.1 -1.0 0.0778 0.0934 0.1112 0.0721 0.0869 0.0708 0.0853 0.1020 0.0694 0.0838 0.1003 0.0681 0.0823 0.0985 0.9772 0.9821 0.9861 0.9778 0.9826 0.9864 0.9896 0.9920 0.9783 0.9830 0.9868 0.9898 0.9922 0.9788 0.9834 0.9871 0.9901 0.9925 0.9793 0.9838 0.9875 0.9904 0.9927 0.9798 0.9842 0.9878 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 0.9913 0.9934 0.9817 0.9857 0.9890 0.9916 0.9936 2.0 2.1 2.2 0.1038 0.1335 0.1562 0.1230 0.1446 0.1314 0.1271 0.1492 0.1210 0.1423 0.1190 0.1401 0.1170 0.9906 0.9929 2.3 0.1539 0.1379 0.9893 0.9918 2.4 0.1841 0.2119 0,2420 0.2743 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 0.1711 0.1977 0,2266 0.2578 0.2912 0.1685 0.1949 0,2236 02546 0.2877 0.1660 0.1922 0.2206 02514 0.1635 0.1894 0,2177 0.2483 0.2810 0.1611 0.1867 0.2148 0.9938 0.9953 0.9965 0.9974 0.9981 0.9940 0.9955 0.9966 0.9975 0.9982 0.9943 0.9957 0.9968 0.9977 0.9983 0.9945 0.9959 0.9969 0.9977 0.9949 0.9962 0.9972 0.9979 0.9985 0.9952 0.9964 0.9974 -0.9 0.9946 0.9960 0.9970 0.9978 0.9948 0.9961 0.9971 0.9979 0.9951 0.9963 0.9973 0,9980 0,9986 2.5 0.9941 0.9956 0.9967 0,9976 0.9982 -08 -0.7 2.6 2.7 0.2611 0.2451 0,9981 0.9986 -0.6 2.8 -0,5 0.3085 0.2946 0,2843 0,2776 2.9 0.9984 0.9984 0.9985 0.3446 0.3821 0.4207 0.4602 0.5000 0.3372 0.3745 0.4129 0.4522 0.4920 0.3336 0.3707 0.4090 0.4483 0.4880 0.9989 0.9992 0.9995 0.9996 0.9997 0.3300 0.3669 -04 -03 -0.2 0.3409 0.3783 0.4168 0.4562 0.4960 0.3228 0.3504 0.3974 0.4364 0.4761 0.3121 0,3483 0.3859 0,4247 0.4641 0.9987 0.9991 0.9994 0.9989 0,9992 0.9994 0.9996 0.9997 0.9989 0,9992 0.9994 0,9996 0.9997 0.3156 0.9987 0,9991 0.9993 0,9995 0.9997 0.9988 0.9990 0.9993 0.9995 0,9997 0.9998 0.3264 0.3632 0.3192 0.3557 0.3936 0.4325 0.4721 3.0 0.9987 0.9988 0,9990 0.9990 0.9993 0.9995 0.9997 0.9991 0.9994 0.9996 0,9997 0.9902 0.9994 0.9006 0.9997 0.9993 0.9995 0.3520 0.3897 0.4286 0.4681 3.1 0.4052 0.4443 0.4840 0.4013 0.4404 0.4801 3.2 3.3 3.4 0,9995 0.9997 -0.1 0,9996 -0.0 0.9997 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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