In a survey, 38% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so she randomly selecte 170 pet owners and discovered that 61 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the a = 0.1 level of significance. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Because npo (1-Po) = 40.1 > 10, the sample size is less than 5% of the population size, and the sample is given to be random, the requirements for testing the hypothesis are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? ] versus H,: Ho: (Type integers or decimals. Do not round.)

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
In a survey, 38% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so she randomly selected
170 pet owners and discovered that 61 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the a = 0.1 level of
significance.
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
Because npo (1- Po) = 40.1 > 10, the sample size is less than
5% of the population size, and the sample
is given to be random,
the requirements for testing the hypothesis
are satisfied.
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
Ho:
| versus H,:
(Type integers or decimals. Do not round.)
1 Standard Normal Distribution Table (page 1)
Area
Standard Normal Distribution
0.00
0.01
0.02
0.03
0.04
0,05
0.06
0,07
0.08
0,09
-34
-33
-32
-31
-30
0.0003
0.0005
0.0007
0.0010
0.0013
0.0003
0.0005
0.0007
0.0009
0.0013
0.0003
0.0004
0.0006
0.0009
0.0012
0.0003
0.0004
0.0006
0.0003
0.0004
0.0005
0.0003
0.0004
0.0005
0.0002
0.0003
0.0005
0.0007
0.0010
0.0003
0.0005
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0006
0.0009
0.0008
0.0012
0.0008
0.0008
0.0008
0.0011
0.0007
0.0013
0.0011
0.0011
0.0010
-29
-28
-2.7
0.0019
0.0026
0.0035
0.0018
0.0025
0.0034
0.0045
0.0060
0.0018
0.0024
0.0033
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
0.0036
0.0048
-2.6
-2.5
0.0047
0.0062
0.0044
0.0059
-2.4
-2.3
-2.2
-2.1
-20
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
0.0075
0.0099
0.0129
0.0166
0.0212
0.0073
0.0096
0.0125
0.0162
0.0207
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
0.0146
0.0188
0.0064
0.0084
0.0110
0.0143
0.0183
-1.9
-1.8
-1.7
-1.6
-1.5
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
0.0495
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
0,0606
-14
-1.3
-1.2
0.0793
0.0951
0.1131
0.1335
0.1562
0.0778
0.0934
0.1112
0.1314
0.1539
0.0764
0.0918
0.1093
0.1292
0.1515
0.0749
0.0001
0.1075
0.1271
0.1492
0.0735
0.0885
0.1056
0.1251
0.1469
0.0721
0.0869
0.1038
0.1230
0.1446
0.0708
0.0853
0.1020
0.1210
0.1423
0.0808
0.0694
0.0838
0.1003
0.1190
0.1401
0.0681
0.0823
0.0985
0.1170
0.1379
0.0968
-1.1
-1.0
0.1151
0.1357
0.1587
0.1788
0.2061
0.2358
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
0.1635
0.1894
0.2177
0.2483
0.2810
0.1611
0.1867
0.2148
02451
0.2776
-0.9
0.1841
0.2119
0.2420
0.1814
0.1660
0.2090
0.2389
0.2709
0.3050
0.1922
0.2206
0.2514
0.2843
-0.7
0.2743
0.2676
0.3015
0.2546
0.2877
-0,6
-0.5
0.3085
bur answer
-04
-0.3
-0.2
-0.1
-0,0
0.3446
0.3821
0.4207
0.3400
0.3783
0.4168
0.4562
0.4960
0.3372
0.3745
0.4129
0.3336
0.3707
0.4090
0.4483
0.4880
0.3300
0.3669
0.4052
0.3264
0.3632
0.4013
0.4404
0.4801
0.3228
0.3594
0.3974
0.4364
0.4761
0.3192
0.3557
0.3936
0.4325
0.4721
0.3156
0.3520
0.3897
0.3121
0.3483
0.3859
is
aining
0.4602
0.5000
0.4522
0.4920
0.4443
0.4840
0.4286
0.4681
0.4247
0.4641
swer
0,00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
Transcribed Image Text:In a survey, 38% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so she randomly selected 170 pet owners and discovered that 61 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the a = 0.1 level of significance. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Because npo (1- Po) = 40.1 > 10, the sample size is less than 5% of the population size, and the sample is given to be random, the requirements for testing the hypothesis are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: | versus H,: (Type integers or decimals. Do not round.) 1 Standard Normal Distribution Table (page 1) Area Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0,05 0.06 0,07 0.08 0,09 -34 -33 -32 -31 -30 0.0003 0.0005 0.0007 0.0010 0.0013 0.0003 0.0005 0.0007 0.0009 0.0013 0.0003 0.0004 0.0006 0.0009 0.0012 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0003 0.0004 0.0005 0.0002 0.0003 0.0005 0.0007 0.0010 0.0003 0.0005 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0006 0.0009 0.0008 0.0012 0.0008 0.0008 0.0008 0.0011 0.0007 0.0013 0.0011 0.0011 0.0010 -29 -28 -2.7 0.0019 0.0026 0.0035 0.0018 0.0025 0.0034 0.0045 0.0060 0.0018 0.0024 0.0033 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 0.0036 0.0048 -2.6 -2.5 0.0047 0.0062 0.0044 0.0059 -2.4 -2.3 -2.2 -2.1 -20 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 0.0075 0.0099 0.0129 0.0166 0.0212 0.0073 0.0096 0.0125 0.0162 0.0207 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 0.0146 0.0188 0.0064 0.0084 0.0110 0.0143 0.0183 -1.9 -1.8 -1.7 -1.6 -1.5 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 0.0495 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 0,0606 -14 -1.3 -1.2 0.0793 0.0951 0.1131 0.1335 0.1562 0.0778 0.0934 0.1112 0.1314 0.1539 0.0764 0.0918 0.1093 0.1292 0.1515 0.0749 0.0001 0.1075 0.1271 0.1492 0.0735 0.0885 0.1056 0.1251 0.1469 0.0721 0.0869 0.1038 0.1230 0.1446 0.0708 0.0853 0.1020 0.1210 0.1423 0.0808 0.0694 0.0838 0.1003 0.1190 0.1401 0.0681 0.0823 0.0985 0.1170 0.1379 0.0968 -1.1 -1.0 0.1151 0.1357 0.1587 0.1788 0.2061 0.2358 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 0.1635 0.1894 0.2177 0.2483 0.2810 0.1611 0.1867 0.2148 02451 0.2776 -0.9 0.1841 0.2119 0.2420 0.1814 0.1660 0.2090 0.2389 0.2709 0.3050 0.1922 0.2206 0.2514 0.2843 -0.7 0.2743 0.2676 0.3015 0.2546 0.2877 -0,6 -0.5 0.3085 bur answer -04 -0.3 -0.2 -0.1 -0,0 0.3446 0.3821 0.4207 0.3400 0.3783 0.4168 0.4562 0.4960 0.3372 0.3745 0.4129 0.3336 0.3707 0.4090 0.4483 0.4880 0.3300 0.3669 0.4052 0.3264 0.3632 0.4013 0.4404 0.4801 0.3228 0.3594 0.3974 0.4364 0.4761 0.3192 0.3557 0.3936 0.4325 0.4721 0.3156 0.3520 0.3897 0.3121 0.3483 0.3859 is aining 0.4602 0.5000 0.4522 0.4920 0.4443 0.4840 0.4286 0.4681 0.4247 0.4641 swer 0,00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
Standard Normal Distribution Table (page 2)
모
Area
Standard Normal Distribution
0.00
0.01
0.02
0,03
0.04
0,05
0.06
0,07
0.08
0.09
0.0
0.1
0.2
0,3
0.5000
0.5398
0,5793
0,6179
0.6554
0.5040
0.5438
0,5832
0.6217
0.6591
0.5080
0.5478
0,5871
0,6255
0,6628
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
0.6808
0.5319
0,5714
0,6103
0,6480
0,6844
0.5359
0.5753
0,6141
0.6517
0.6879
0.4
0.5
0.6
0.7
0.8
0,6915
0.7257
0.7580
0.7881
0.8159
0.6950
0.7291
0.7611
0.7910
0.8186
0,6985
0.7324
0.7642
0.7939
08212
0.7019
0.7357
0.7673
0.7967
08238
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
0.8106
0.8365
0.7224
0.7549
0.7852
0.8133
0.8389
8
09
0.8413
0.8643
0,8849
0.9032
0.9192
0.8438
0,8665
0,8869
08461
08686
08888
0.9066
0.9222
0.8554
0,8770
0.8962
0.9131
0.9279
08485
08708
1.0
1.1
1.2
1.3
1.4
08907
0.9082
0.9236
0,8508
0,8729
0,8925
0.9099
0,9251
0.8531
0.8749
0.8944
0.9115
0.9265
0,8577
0.8790
0,8980
0.9147
0,9292
0,8599
0,8810
0,8997
0,9162
0.9306
0,8621
0.8830
0.9015
0.9177
0.9319
0.9049
0,9207
1.5
1.6
1.7
0.9332
0.9452
0.9554
0.9641
0.9713
0.9345
0.9463
0,9564
0.9357
0.9474
0.9573
0.9656
0.9726
0.9382
0.9495
0.9591
0,9671
0.9738
0.9394
0.9505
0.9599
0.9406
0.9515
0.9608
0.9686
0.9750
0.9441
0.9545
0.9633
0.9370
0.9484
0,9582
0,9664
0.9732
0.9418
0.9525
0.9616
0,9429
0.9535
0,9625
0,9699
0.9761
1.8
1.9
0.9649
0.9719
0.9678
0.9744
0.9693
0.9756
0.9706
0.9767
2.0
2.1
2.2
2.3
2.4
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
0.9906
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
0.9913
0,9934
0.9817
0.9857
0.9890
0.9916
0.9936
0.9893
0,9918
2.5
2.6
2.7
0,9938
0.9953
0.9965
0,9974
0.9981
0.9940
0.9955
0.9966
0.9941
0.9956
0.9967
0.9976
0.9982
0.9943
0.9957
0.9968
0.9977
0.9983
0.9945
0,9959
0.9969
0.9977
0.9984
0.9946
0.9960
0.9970
0.9978
0.9984
0.9948
0.9961
0.9971
0.9979
0.9985
0.9949
0.9962
0.9972
0.9979
0.9985
0,9951
0,9963
0,9973
0.9980
0,9986
0.9952
0.9964
0.9974
0.9981
0.9986
2.8
0.9975
0.9982
2.9
swer i
0,9987
0.9991
0,9994
0.9995
0.9997
0.9990
0.9993
0.9995
0.9997
0,9989
3.0
3.1
3.2
3.3
3.4
0,9987
0,9990
0.9993
0.9995
0.9997
0.9987
0.9991
0.9993
0.9995
0.9997
0.9988
0,9991
0,9904
0.9996
0.9997
0,9988
0.9992
0.9994
0.9996
0.9997
0.9989
0.9992
0.9994
0.9996
0.9997
0.9992
0.9994
0.9996
0.9997
0.9989
0.9992
0.9995
0.9996
0.9997
0.9990
0,9993
0,9995
0.9996
0.9997
0.9998
swer
(c) Hypothesis Testing Critical Values
Level of Significance, a Left-Tailed Right-Tailed Two- Tailed
(b) Confidence Interval Critical Values, Za2
Level of Confidence
Critical Value, Za?
0.90 or 90%
1.645
0.10
-1.28
128
11645
0.95 or 95%
1.96
0.05
-1.645
1.645
1196
0.98 or 98%
2.33
0.01
-2.33
2.33
12575
0.99 or 99%
2.575
Transcribed Image Text:Standard Normal Distribution Table (page 2) 모 Area Standard Normal Distribution 0.00 0.01 0.02 0,03 0.04 0,05 0.06 0,07 0.08 0.09 0.0 0.1 0.2 0,3 0.5000 0.5398 0,5793 0,6179 0.6554 0.5040 0.5438 0,5832 0.6217 0.6591 0.5080 0.5478 0,5871 0,6255 0,6628 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 0.6808 0.5319 0,5714 0,6103 0,6480 0,6844 0.5359 0.5753 0,6141 0.6517 0.6879 0.4 0.5 0.6 0.7 0.8 0,6915 0.7257 0.7580 0.7881 0.8159 0.6950 0.7291 0.7611 0.7910 0.8186 0,6985 0.7324 0.7642 0.7939 08212 0.7019 0.7357 0.7673 0.7967 08238 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 0.8106 0.8365 0.7224 0.7549 0.7852 0.8133 0.8389 8 09 0.8413 0.8643 0,8849 0.9032 0.9192 0.8438 0,8665 0,8869 08461 08686 08888 0.9066 0.9222 0.8554 0,8770 0.8962 0.9131 0.9279 08485 08708 1.0 1.1 1.2 1.3 1.4 08907 0.9082 0.9236 0,8508 0,8729 0,8925 0.9099 0,9251 0.8531 0.8749 0.8944 0.9115 0.9265 0,8577 0.8790 0,8980 0.9147 0,9292 0,8599 0,8810 0,8997 0,9162 0.9306 0,8621 0.8830 0.9015 0.9177 0.9319 0.9049 0,9207 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9641 0.9713 0.9345 0.9463 0,9564 0.9357 0.9474 0.9573 0.9656 0.9726 0.9382 0.9495 0.9591 0,9671 0.9738 0.9394 0.9505 0.9599 0.9406 0.9515 0.9608 0.9686 0.9750 0.9441 0.9545 0.9633 0.9370 0.9484 0,9582 0,9664 0.9732 0.9418 0.9525 0.9616 0,9429 0.9535 0,9625 0,9699 0.9761 1.8 1.9 0.9649 0.9719 0.9678 0.9744 0.9693 0.9756 0.9706 0.9767 2.0 2.1 2.2 2.3 2.4 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 0.9906 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 0.9913 0,9934 0.9817 0.9857 0.9890 0.9916 0.9936 0.9893 0,9918 2.5 2.6 2.7 0,9938 0.9953 0.9965 0,9974 0.9981 0.9940 0.9955 0.9966 0.9941 0.9956 0.9967 0.9976 0.9982 0.9943 0.9957 0.9968 0.9977 0.9983 0.9945 0,9959 0.9969 0.9977 0.9984 0.9946 0.9960 0.9970 0.9978 0.9984 0.9948 0.9961 0.9971 0.9979 0.9985 0.9949 0.9962 0.9972 0.9979 0.9985 0,9951 0,9963 0,9973 0.9980 0,9986 0.9952 0.9964 0.9974 0.9981 0.9986 2.8 0.9975 0.9982 2.9 swer i 0,9987 0.9991 0,9994 0.9995 0.9997 0.9990 0.9993 0.9995 0.9997 0,9989 3.0 3.1 3.2 3.3 3.4 0,9987 0,9990 0.9993 0.9995 0.9997 0.9987 0.9991 0.9993 0.9995 0.9997 0.9988 0,9991 0,9904 0.9996 0.9997 0,9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0.9996 0.9997 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9995 0.9996 0.9997 0.9990 0,9993 0,9995 0.9996 0.9997 0.9998 swer (c) Hypothesis Testing Critical Values Level of Significance, a Left-Tailed Right-Tailed Two- Tailed (b) Confidence Interval Critical Values, Za2 Level of Confidence Critical Value, Za? 0.90 or 90% 1.645 0.10 -1.28 128 11645 0.95 or 95% 1.96 0.05 -1.645 1.645 1196 0.98 or 98% 2.33 0.01 -2.33 2.33 12575 0.99 or 99% 2.575
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