A study claims that over 40% of those who suffer from osteoarthritis receive measurable relief from an ingredient produced by a particular species of mussel. To test this claim, the mussel extract is to be given to a group of 73 osteoarthritic patients and the critical region is defined to be x<25, where x is the number of osteoarthritic patients who receive relief. If x is not in this region, we shall not reject the null hypothesis that p=0.4; otherwise, we conclude that p<0.4. (a) Evaluate a, assuming that p= 0.4. (b) Evaluate B for the alternative p= 0.3. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) a = (Round to four 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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Related questions
Question
Areas under the Normal Curve
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
0.5279
0.5675
0.6064
0.0
0.5040
0.5120
0.5517
0.5160
0.5557
0.5000
0.5080
0.5199
0.5239
0.5319
0.5359
0.0
0.1
0.1
0.2
0.5398
0.5438
0.5478
0.5596
0.5636
0.5714
0.5753
0.6141
0.2
0.5793
0.5832
0.5871
0.5910
0.5948
0.5987
0.6026
0.6103
0.6331
0.3
0.4
0.6179
0.6217
0.6255
0.6628
0.6293
0.6664
0.6368
0.6406
0.6443
0.6480
0.6517
0.3
0.4
0.6554
0.6591
0.6700
0.6736 0.6772 0.6808
0.6844
0.6879
0.7088 0.7123
0.7422
0.7734
0.5
0.6915
0.6950
0.6985
0.7019
0.7054
0.7157
0.7190
0.7224
0.5
0.7291
0.7611
0.6
0.7257
0.7357
0.7389
0.7324
0.7642
0.7454
0.7486
0.7517
0.7549
0.7852
0.6
0.7
0.7580
0.7673
0.7704
0.7764
0.7794
0.7823
0.7
0.7881
0.8159
0.8
0.7910
0.7939
0.7967
0.7995
0.8023
0.8051
0.8078
0.8106
0.8133
0.8
0.9
0.8186
0.8212
0.8238
0.8264 0.8289
0.8315
0.8340
0.8365
0.8389
0.9
0.8461
1.0
1.1
1.2
0.8621
0.8830
0.8438
0.8485
0.8508
0.8531
0.8554
0.8577
0.8599
1.0
1.1
1.2
1.3
0.8413
0.8643
0.8665
0.8686
0.8708
0.8770
0.8729
0.8925
0.8749
0.8790
0.8810
0.8849
0.8962
0.8980
0.8869
0.9049
0.8888
0.8907
0.8944
0.8997
0.9015
1.3
0.9032
0.9066
0.9082
0.9099
0.9115
0.9131
0.9147
0.9162
0.9177
1.4
0.9192
0.9207
0.9222
0.9236
0.9251
0.9265
0.9279
0.9292
0.9306
0.9319
1.4
0.9332
0.9452
1.5
0.9345
0.9357
0.9370
0.9382
0.9394
0.9406
0.9418
0.9429
0.9441
1.5
0.9474
0.9505
0.9525
1.6
1.7
0.9463
0.9484
0.9582
0.9664
0.9495
0.9515
0.9535
0.9545
0.9573
0.9656
1.6
1.7
1.8
0.9554
0.9564
0.9649
0.9591
0.9599
0.9608
0.9616
0.9625
0.9633
1.8
1.9
0.9641
0.9671
0.9678
0.9686
0.9693
0.9699
0.9706
0.9713
0.9719
0.9726
0.9732
0.9738
0.9744
0.9750
0.9756
0.9761
0.9767
1.9
0,9772
0.9821
2.0
0,9778
0,9783
0.9788
0.9793
0.9798
0.9803
0.9808
0.9812
0.9817
2.0
0.9826
0.9842
2.1
2.2
2.3
2.4
0.9830
0.9834
0.9838
0.9846
0.9850
0.9884
0.9911
0.9932
0.9854
0.9857
2.1
2.2
2.3
2.4
0.9861
0.9864
0.9868
0.9871
0.9875 0.987S
0.9881
0.9887
0.9890
0.9893
0.9918
0.9896
0.9898
0.9909
0.9901
0.9925
0.9904
0.9927
0.9906
0.9929
0.9913
0.9916
0.9936
0.9920
0.9922
0.9931
0.9934
0.9941
0.9943
0.9945
0.9948
0.9949
0.9962
2.5
0.9938
0.9940
0.9946
0.9951
0.9952
2.5
0.9963
0.9973
0.9980
0.9957
0.9959
2.6
2.7
2.8
2.9
0.9964
0.9974
0.9981
0.9953
0.9955
0.9966
0.9975
0.9982
0.9956
0.9960
0.9961
2.6
2.7
2.8
2.9
0.9965
0.9967
0.9968
0.9969
0.9970
0.9971
0.9972
0.9979
0.9974
0.9981
0.9976
0.9982
0.9978
0.9984
0.9979
0.9985
0.9977
0.9977
0.9983
0.9984
0.9985
0.9986
0.9986
Transcribed Image Text:Areas under the Normal Curve .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.5279 0.5675 0.6064 0.0 0.5040 0.5120 0.5517 0.5160 0.5557 0.5000 0.5080 0.5199 0.5239 0.5319 0.5359 0.0 0.1 0.1 0.2 0.5398 0.5438 0.5478 0.5596 0.5636 0.5714 0.5753 0.6141 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6103 0.6331 0.3 0.4 0.6179 0.6217 0.6255 0.6628 0.6293 0.6664 0.6368 0.6406 0.6443 0.6480 0.6517 0.3 0.4 0.6554 0.6591 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.7088 0.7123 0.7422 0.7734 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7157 0.7190 0.7224 0.5 0.7291 0.7611 0.6 0.7257 0.7357 0.7389 0.7324 0.7642 0.7454 0.7486 0.7517 0.7549 0.7852 0.6 0.7 0.7580 0.7673 0.7704 0.7764 0.7794 0.7823 0.7 0.7881 0.8159 0.8 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8 0.9 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9 0.8461 1.0 1.1 1.2 0.8621 0.8830 0.8438 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 1.0 1.1 1.2 1.3 0.8413 0.8643 0.8665 0.8686 0.8708 0.8770 0.8729 0.8925 0.8749 0.8790 0.8810 0.8849 0.8962 0.8980 0.8869 0.9049 0.8888 0.8907 0.8944 0.8997 0.9015 1.3 0.9032 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.4 0.9332 0.9452 1.5 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5 0.9474 0.9505 0.9525 1.6 1.7 0.9463 0.9484 0.9582 0.9664 0.9495 0.9515 0.9535 0.9545 0.9573 0.9656 1.6 1.7 1.8 0.9554 0.9564 0.9649 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 1.9 0.9641 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 1.9 0,9772 0.9821 2.0 0,9778 0,9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.0 0.9826 0.9842 2.1 2.2 2.3 2.4 0.9830 0.9834 0.9838 0.9846 0.9850 0.9884 0.9911 0.9932 0.9854 0.9857 2.1 2.2 2.3 2.4 0.9861 0.9864 0.9868 0.9871 0.9875 0.987S 0.9881 0.9887 0.9890 0.9893 0.9918 0.9896 0.9898 0.9909 0.9901 0.9925 0.9904 0.9927 0.9906 0.9929 0.9913 0.9916 0.9936 0.9920 0.9922 0.9931 0.9934 0.9941 0.9943 0.9945 0.9948 0.9949 0.9962 2.5 0.9938 0.9940 0.9946 0.9951 0.9952 2.5 0.9963 0.9973 0.9980 0.9957 0.9959 2.6 2.7 2.8 2.9 0.9964 0.9974 0.9981 0.9953 0.9955 0.9966 0.9975 0.9982 0.9956 0.9960 0.9961 2.6 2.7 2.8 2.9 0.9965 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9979 0.9974 0.9981 0.9976 0.9982 0.9978 0.9984 0.9979 0.9985 0.9977 0.9977 0.9983 0.9984 0.9985 0.9986 0.9986
A study claims that over 40% of those who suffer from osteoarthritis receive measurable relief from an ingredient produced by a particular species of mussel. To test this claim, the mussel extract is to be given to a group of 73 osteoarthritic
patients and the critical region is defined to be x< 25, where x is the number of osteoarthritic patients who receive relief. If x is not in this region, we shall not reject the null hypothesis that p = 0.4; otherwise, we conclude that p< 0.4.
(a) Evaluate a, assuming that p = 0.4.
(b) Evaluate Bß for the alternative p = 0.3.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
(а) а 3D
(Round to four decimal places as needed.)
Transcribed Image Text:A study claims that over 40% of those who suffer from osteoarthritis receive measurable relief from an ingredient produced by a particular species of mussel. To test this claim, the mussel extract is to be given to a group of 73 osteoarthritic patients and the critical region is defined to be x< 25, where x is the number of osteoarthritic patients who receive relief. If x is not in this region, we shall not reject the null hypothesis that p = 0.4; otherwise, we conclude that p< 0.4. (a) Evaluate a, assuming that p = 0.4. (b) Evaluate Bß for the alternative p = 0.3. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (а) а 3D (Round to four decimal places as needed.)
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