Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Họ: p= 0.4 versus H1:p>0.4 n= 200; x = 90; a = 0.1 Click here to view page 1 of the table. Click here to view page 2 of the table. Calculate the test statistic, zo. Zo =U (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) Choose the correct result of the hypothesis test for the P-value approach below.

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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Related questions
Question

30

Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test.
Ho: p= 0.4 versus H,: p>0.4
n = 200; x = 90; a = 0.1
Click here to view page 1 of the table.
Click here to view page 2 of the table.
Calculate the test statistic, zo.
Zo =
(Round to two decimal places as needed.)
Identify the P-value.
P-value =
(Round to three decimal places as needed.)
Choose the correct result of the hypothesis test for the P-value approach below.
O A. Reject the null hypothesis, because the P-value is greater than oa.
B. Do not reject the null hypothesis, because the P-value is less than a.
O C. Reject the null hypothesis, because the P-value is less than a.
D. Do not reject the null hypothesis, because the P-value is greater than a.
Transcribed Image Text:Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p= 0.4 versus H,: p>0.4 n = 200; x = 90; a = 0.1 Click here to view page 1 of the table. Click here to view page 2 of the table. Calculate the test statistic, zo. Zo = (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) Choose the correct result of the hypothesis test for the P-value approach below. O A. Reject the null hypothesis, because the P-value is greater than oa. B. Do not reject the null hypothesis, because the P-value is less than a. O C. Reject the null hypothesis, because the P-value is less than a. D. Do not reject the null hypothesis, because the P-value is greater than a.
Standard Normal Distribution
Standard Normal Distribution
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.00
01
.02
.03
.04
.05
.06
.07
.08
.09
-3.4
-3.3
-3.2
-3.1
0.0002
0.0003
0.0005
0.0007
0.0003
0.0003
0.0003
0.0003
0.0003
0.0003
0.0003
0.0003
0.0003
0.5000
0.5398
0.5793
0.6179
0.6554
0.5040
0.5438
0.5832
0.6217
0.5080
0.5478
0.5871
0.5120
0.5517
0.5910
0.6293
0.5160
0.5557
0.5948
0.6331
0.5319
0.5714
0.6103
0.6480
0.5199
0.5239
0.5636
0.6026
0.6406
0.6772
0.5279
0.5675
0.6064
0.6443
0.0
0.5359
0.0005
0.0007
0.0005
0.0006
0.0004
0.0006
0.0008
0.0004
0.0005
0.0007
0.0010
0.0004
0.0006
0.0009
0.0012
0.0004
0.0006
0.0008
0.0011
0.0004
0.0005
0.0004
0.0005
0.0007
0.1
0.2
0,3
0.5596
0.5987
0.6368
0.6736
0.5753
0.6141
0.6517
0.0006
0.0008
0.0009
0.0008
0.6255
0.6628
0.0009
-3.0
0.0013
0.0013
0.0013
0.0012
0.0011
0.0011
0.0010
0.0010
0.4
0.6591
0.6664
0.6700
0.6808
0.6844
0.6879
0.0015
0.0021
0.0029
0.0039
0.0052
0.0015
0.0021
0.0028
0.0038
0.0051
-2.9
-2.8
0.0018
0.0025
0.0034
0.0045
0.0060
0.0018
0.0024
0.0017
0.0023
0.0016
0.0022
0.0030
0.0014
0.0020
0.0027
0.0037
0.0014
0.0019
0.0026
0.0019
0.0026
0.0016
0.0023
0.0031
0.7054
0.7389
0.7123
0.7454
0.7764
0.8051
0.8315
0.5
0.6915
0.6950
0.7257 0.7291
0.6985
0.7324
0.7019
0.7357
0.7088
0.7422
0.7734
0.8023
0.8289
0.7157
0.7486
0.7794
0.8078
0.8340
0.7190
0.7517
0.7823
0.8106
0.8365
0.7224
0.7549
0.6
-2.7
-2.6
-2.5
0.0035
0.0047
0.0062
0.0033
0.0032
0.0043
0.0057
0.7642
0.7939
0.8212
0.7852
0.8133
0.8389
0.7580
0.7673
0.7967
0.8238
0.7704
0.7995
0.8264
0.7
0.0044
0.0059
0.7611
0.7910
0.8186
0.0041
0.0040
0.0054
0.0036
0.7881
0.8159
0,8
0.0055
0.0049
0.0048
0.9
-2.4
-2.3
0.0082
0.0080
0.0078
0.0075
0.0073
0.0071
0.0094
0.0122
0.0158
0.0068
0.0089
0.0116
0.0150
0.0069
0.0066
0.0064
0.8413
0.8643
0.8849
0.9032
0.8508
0.8729
0.8925
0.9099
0.8461
1.0
1.1
1.2
1.3
0.8438
0.8665
0.8869
0.8485
0.8708
0,8907
0.9082
0.9236
0.8531
0.8749
0.8944
0.9115
0.8554
0.8770
0.8962
0.9131
0.8577
0.8790
0.8980
0.9147
0.8599
0.8621
0.0107
0.0139
0.0179
0.0104
0.0136
0.0174
0.0222
0.0102
0.0132
0.0170
0.0099
0.0096
0.0091
0.0087
0.0113
0.0146
0.0084
0.8830
0.9015
0.8686
-2.2
-2.1
0.0129
0.0166
0.0212
0.0125
0.0162
0.8810
0.8997
0.0119
0.0154
0.0110
0.0143
0.8888
0.9066
0.9162
0.9306
0.9049
0.9177
-2.0
0.0228
0.0217
0.0207
0.0202
0.0197
0.0192
0.0188
0.0183
1.4
0.9192
0.9207
0.9222
0.9251
0.9265
0.9279
0.9292
0.9319
0.0287
0.0359
0.0446
0.0548
0.0668
0.0250
0.0314
0.0233
0.0294
0.0367
0.0455
0.0559
-1.9
-1.8
0.0274
0.0344
0.0427
0.0526
0.0643
0.0281
0.0351
0.0268
0.0336
0.0262
0.0329
0.0256
0.0322
0.0244
0.0307
0.0239
0.0301
0.9345
0.9463
0.9357
0.9474
0.9573
0.9656
0.9726
0.9370
0.9484
0.9382
0.9495
0.9394
0.9418
1.5
1.6
0.9332
0.9406
0.9515
0.9429
0.9535
0.9441
0.9505
0.9599
0.9678
0.9744
0.9452
0.9525
0.9545
-1.7
-1.6
0.0436
0.0537
0.0655
0.0418
0.0516
0.0630
0.0409
0.0505
0.0618
0.0401
0.0495
0.0392
0.0485
0.0594
0.0384
0.0475
0.0582
0.0375
0.0465
0.0571
1.7
1.8
1.9
0.9554
0.9641
0.9564
0.9649
0.9719
0.9582
0.9664
0.9732
0.9591
0.9671
0.9738
0.9608
0.9686
0.9750
0.9616
0.9693
0.9756
0.9625
0.9699
0.9633
0.9706
0.9767
-1.5
0.0606
0.9713
0.9761
0.0793
0.0951
0.0778
0.0749
0.0901
0.1075
0.1271
-1.4
0.0808
0.0764
0.0721
0.0735
0.0885
0.1056
0.1251
0.0708
0.0694
0.0681
0.9783
0.9788
0.9834
0.9871
0.9901
0.9925
0.9793
0.9838
0.9875
0.9812
0.9854
2.0
2.1
2.2
2.3
0.9772
0.9821
0.9861
0.9893
0.9778
0.9826
0.9864
0.9896
0.9817
0.9857
0.9890
0.9916
0.9936
0.9798
-1.3
-1.2
-1.1
0.0968
0.1151
0.1357
0.1131
0.1335
0.1562
0.0934
0.1112
0.1314
0.0918
0.1093
0.1292
0.0869
0.1038
0.1230
0.0853
0.1020
0.1210
0.0838
0.1003
0.1190
0.0823
0.0985
0.9830
0.9868
0.9842
0.9878
0.9906
0.9803
0.9846
0.9881
0.9808
0.9850
0.9884
0.1170
0.1379
0.9904
0.9927
0.9887
0.9913
0.9898
0.9909
0.9911
-1.0
0.1587
0.1539
0.1515
0.1492
0.1469
0.1446
0.1423
0.1401
2.4
0.9918
0.9920
0.9922
0.9929
0.9931
0.9932
0.9934
0.1814
0.1788 0.1762
0.2061 0.2033
0.2358 0.2327
0.2676 0.2643
0.3015 0.2981
0.1660
-0.9
-0.8
0.1635
0.1894
0.1611
0.1867
0.1841
0.1736
0.1711
0.1685
0.1949 0.1922
0.2236
0.2546 0.2514
0.2877
0.9941
0.9940
0.9955
0.9943
0.9957
0.9945
0.9949
0.9962
0.9972
0.9979
0.9985
2.5
2.6
0.9938
0.9953
0.9946
0.9960
0.9948
0.9951
0.9963
0.9952
0.9964
0.2090
0.2389
0.2709
0.3050
0.2119
0.2005
0.1977
0.9956
0.9967
0.9976
0.9982
0.9959
0.9969
0.9977
0.9961
0.2206 0.2177
0.2483
0.2810
0.2148
0.2451
0.2776
-0.7
0.2296 0.2266
0.2420
0.2743
0.3085
2.7
2.8
2.9
0.9965
0.9974
0.9968
0.9977
0.9983
0.9973
0.9980
0.9986
0.9974
0.9981
0.9986
0.9966
0.9970
0.9978
0.9984
0.9971
-0.6
-0.5
0.2611 0.2578
0.9975
0.9982
0.9979
0.2946
0.2912
0.2843
0.9981
0.9984
0.9985
0.3372
0.3745
0.4129
0.4522
0.4920
-0.4
0.3446
0.3409
0.3336
0.3300
0.3264
0.3228
0.3192
0.3557
0.3936
0.4325
0.3156
0.3121
3.0
3.1
3.2
3.3
0.9987
0.9990
0.9993
0.9995
0.9987
0.9991
0.9993
0.9995
0.9987
0.9991
0.9994
0.9995
0.9997
0.9988
0.9991
0.9994
0.9988
0.9992
0.9994
0.9989
0.9992
0.9994
0.9989
0.9992
0.9995
0.9990
0.9993
0.9995
0.9997
0.9998
0.9989
0.9990
0.3821
0.4207
0.4602
0.3707
0.4090
0.4483
0.3632
0.4013
0.4404
0.3520
0.3897
0.4286
0.3783
0.3594
0.3483
0.3859
0.4247
0.4641
-0.3
0.4168
0.4562
0.3669
0.4052
0.4443
0.9992
0.9994
0.9993
0.9995
-0.2
-0.1
-0.0
0.3974
0.4364
0.4761
0.9996
0.9996
0.9996
0.9996
0.9996
0.9996
0.5000
0.4960
0.4880
0.4840
0.4801
0.4721
0.4681
3.4
0.9997
0.9997
0.9997
0.9997
0.9997
0.9997
0.9997
0.9997
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
Transcribed Image Text:Standard Normal Distribution Standard Normal Distribution .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .00 01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 -3.3 -3.2 -3.1 0.0002 0.0003 0.0005 0.0007 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0.5832 0.6217 0.5080 0.5478 0.5871 0.5120 0.5517 0.5910 0.6293 0.5160 0.5557 0.5948 0.6331 0.5319 0.5714 0.6103 0.6480 0.5199 0.5239 0.5636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.6443 0.0 0.5359 0.0005 0.0007 0.0005 0.0006 0.0004 0.0006 0.0008 0.0004 0.0005 0.0007 0.0010 0.0004 0.0006 0.0009 0.0012 0.0004 0.0006 0.0008 0.0011 0.0004 0.0005 0.0004 0.0005 0.0007 0.1 0.2 0,3 0.5596 0.5987 0.6368 0.6736 0.5753 0.6141 0.6517 0.0006 0.0008 0.0009 0.0008 0.6255 0.6628 0.0009 -3.0 0.0013 0.0013 0.0013 0.0012 0.0011 0.0011 0.0010 0.0010 0.4 0.6591 0.6664 0.6700 0.6808 0.6844 0.6879 0.0015 0.0021 0.0029 0.0039 0.0052 0.0015 0.0021 0.0028 0.0038 0.0051 -2.9 -2.8 0.0018 0.0025 0.0034 0.0045 0.0060 0.0018 0.0024 0.0017 0.0023 0.0016 0.0022 0.0030 0.0014 0.0020 0.0027 0.0037 0.0014 0.0019 0.0026 0.0019 0.0026 0.0016 0.0023 0.0031 0.7054 0.7389 0.7123 0.7454 0.7764 0.8051 0.8315 0.5 0.6915 0.6950 0.7257 0.7291 0.6985 0.7324 0.7019 0.7357 0.7088 0.7422 0.7734 0.8023 0.8289 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0.7517 0.7823 0.8106 0.8365 0.7224 0.7549 0.6 -2.7 -2.6 -2.5 0.0035 0.0047 0.0062 0.0033 0.0032 0.0043 0.0057 0.7642 0.7939 0.8212 0.7852 0.8133 0.8389 0.7580 0.7673 0.7967 0.8238 0.7704 0.7995 0.8264 0.7 0.0044 0.0059 0.7611 0.7910 0.8186 0.0041 0.0040 0.0054 0.0036 0.7881 0.8159 0,8 0.0055 0.0049 0.0048 0.9 -2.4 -2.3 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0094 0.0122 0.0158 0.0068 0.0089 0.0116 0.0150 0.0069 0.0066 0.0064 0.8413 0.8643 0.8849 0.9032 0.8508 0.8729 0.8925 0.9099 0.8461 1.0 1.1 1.2 1.3 0.8438 0.8665 0.8869 0.8485 0.8708 0,8907 0.9082 0.9236 0.8531 0.8749 0.8944 0.9115 0.8554 0.8770 0.8962 0.9131 0.8577 0.8790 0.8980 0.9147 0.8599 0.8621 0.0107 0.0139 0.0179 0.0104 0.0136 0.0174 0.0222 0.0102 0.0132 0.0170 0.0099 0.0096 0.0091 0.0087 0.0113 0.0146 0.0084 0.8830 0.9015 0.8686 -2.2 -2.1 0.0129 0.0166 0.0212 0.0125 0.0162 0.8810 0.8997 0.0119 0.0154 0.0110 0.0143 0.8888 0.9066 0.9162 0.9306 0.9049 0.9177 -2.0 0.0228 0.0217 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 1.4 0.9192 0.9207 0.9222 0.9251 0.9265 0.9279 0.9292 0.9319 0.0287 0.0359 0.0446 0.0548 0.0668 0.0250 0.0314 0.0233 0.0294 0.0367 0.0455 0.0559 -1.9 -1.8 0.0274 0.0344 0.0427 0.0526 0.0643 0.0281 0.0351 0.0268 0.0336 0.0262 0.0329 0.0256 0.0322 0.0244 0.0307 0.0239 0.0301 0.9345 0.9463 0.9357 0.9474 0.9573 0.9656 0.9726 0.9370 0.9484 0.9382 0.9495 0.9394 0.9418 1.5 1.6 0.9332 0.9406 0.9515 0.9429 0.9535 0.9441 0.9505 0.9599 0.9678 0.9744 0.9452 0.9525 0.9545 -1.7 -1.6 0.0436 0.0537 0.0655 0.0418 0.0516 0.0630 0.0409 0.0505 0.0618 0.0401 0.0495 0.0392 0.0485 0.0594 0.0384 0.0475 0.0582 0.0375 0.0465 0.0571 1.7 1.8 1.9 0.9554 0.9641 0.9564 0.9649 0.9719 0.9582 0.9664 0.9732 0.9591 0.9671 0.9738 0.9608 0.9686 0.9750 0.9616 0.9693 0.9756 0.9625 0.9699 0.9633 0.9706 0.9767 -1.5 0.0606 0.9713 0.9761 0.0793 0.0951 0.0778 0.0749 0.0901 0.1075 0.1271 -1.4 0.0808 0.0764 0.0721 0.0735 0.0885 0.1056 0.1251 0.0708 0.0694 0.0681 0.9783 0.9788 0.9834 0.9871 0.9901 0.9925 0.9793 0.9838 0.9875 0.9812 0.9854 2.0 2.1 2.2 2.3 0.9772 0.9821 0.9861 0.9893 0.9778 0.9826 0.9864 0.9896 0.9817 0.9857 0.9890 0.9916 0.9936 0.9798 -1.3 -1.2 -1.1 0.0968 0.1151 0.1357 0.1131 0.1335 0.1562 0.0934 0.1112 0.1314 0.0918 0.1093 0.1292 0.0869 0.1038 0.1230 0.0853 0.1020 0.1210 0.0838 0.1003 0.1190 0.0823 0.0985 0.9830 0.9868 0.9842 0.9878 0.9906 0.9803 0.9846 0.9881 0.9808 0.9850 0.9884 0.1170 0.1379 0.9904 0.9927 0.9887 0.9913 0.9898 0.9909 0.9911 -1.0 0.1587 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 2.4 0.9918 0.9920 0.9922 0.9929 0.9931 0.9932 0.9934 0.1814 0.1788 0.1762 0.2061 0.2033 0.2358 0.2327 0.2676 0.2643 0.3015 0.2981 0.1660 -0.9 -0.8 0.1635 0.1894 0.1611 0.1867 0.1841 0.1736 0.1711 0.1685 0.1949 0.1922 0.2236 0.2546 0.2514 0.2877 0.9941 0.9940 0.9955 0.9943 0.9957 0.9945 0.9949 0.9962 0.9972 0.9979 0.9985 2.5 2.6 0.9938 0.9953 0.9946 0.9960 0.9948 0.9951 0.9963 0.9952 0.9964 0.2090 0.2389 0.2709 0.3050 0.2119 0.2005 0.1977 0.9956 0.9967 0.9976 0.9982 0.9959 0.9969 0.9977 0.9961 0.2206 0.2177 0.2483 0.2810 0.2148 0.2451 0.2776 -0.7 0.2296 0.2266 0.2420 0.2743 0.3085 2.7 2.8 2.9 0.9965 0.9974 0.9968 0.9977 0.9983 0.9973 0.9980 0.9986 0.9974 0.9981 0.9986 0.9966 0.9970 0.9978 0.9984 0.9971 -0.6 -0.5 0.2611 0.2578 0.9975 0.9982 0.9979 0.2946 0.2912 0.2843 0.9981 0.9984 0.9985 0.3372 0.3745 0.4129 0.4522 0.4920 -0.4 0.3446 0.3409 0.3336 0.3300 0.3264 0.3228 0.3192 0.3557 0.3936 0.4325 0.3156 0.3121 3.0 3.1 3.2 3.3 0.9987 0.9990 0.9993 0.9995 0.9987 0.9991 0.9993 0.9995 0.9987 0.9991 0.9994 0.9995 0.9997 0.9988 0.9991 0.9994 0.9988 0.9992 0.9994 0.9989 0.9992 0.9994 0.9989 0.9992 0.9995 0.9990 0.9993 0.9995 0.9997 0.9998 0.9989 0.9990 0.3821 0.4207 0.4602 0.3707 0.4090 0.4483 0.3632 0.4013 0.4404 0.3520 0.3897 0.4286 0.3783 0.3594 0.3483 0.3859 0.4247 0.4641 -0.3 0.4168 0.4562 0.3669 0.4052 0.4443 0.9992 0.9994 0.9993 0.9995 -0.2 -0.1 -0.0 0.3974 0.4364 0.4761 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.5000 0.4960 0.4880 0.4840 0.4801 0.4721 0.4681 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09
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