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) =D 10, the sample size is 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.)
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
![Standard Normal Distribution Table (page 2)
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
0.7224
0.7549
0.7852
08133
0.8389
0.9
0,8365
08485
08708
08907
0.9082
0.9236
0.8531
0,8749
0,8044
0.9115
0.9265
1.0
1.1
1.2
1.3
1.4
0,8413
0.8643
0,8849
0,0032
0.9192
0,8438
08665
0,8869
0.9049
0.9207
08461
08686
0.8888
0.9066
0.9222
0.8508
0,8729
0.8925
0,9090
0,9251
0,8554
0,8770
0,8962
0.8577
0.8790
0,8980
0.9147
0.9292
0,8599
0,8810
0,8997
0,9162
0.9306
0.8621
0.830
0.9015
0.9177
0.9319
0.9131
0,9279
1.5
1.6
1.7
18
1.9
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
0.9370
0.9484
0.9582
0.9664
0.9732
0.9382
0.9495
0.9591
0,9671
0.9738
0.9394
0.9505
0.9500
0.9599
0,9678
0.9744
0.9406
0,9515
0,9608
0.9686
0.9750
0.9418
0.9525
0.9616
0.9693
0.9756
0,9429
0.9535
0.9625
0,9699
0.9761
0.9441
0.9545
0.9633
0.9706
0.9767
0,9649
0.9719
2.0
2.1
2.2
2.3
2.4
0.9772
0.9821
0.9861
0,9893
0,9918
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
0.9793
0,9838
0,9875
0,9904
0.0027
0.9798
0.9842
0.9878
0,9906
0,9929
0,9803
0.9808
0.9846
0.9881
0,9909
0,0031
0.9812
0.9854
0,9887
0,9913
0,9934
0.9817
0.9857
0.9890
0.9916
0.9936
0.9850
1
0,9901
0.9925
0.9884
0.9911
0.9932
0.9940
0.9955
0.9966
0.9975
0.9982
0.9951
0,9963
0.9973
0,9980
0,9986
0.9941
0.9945
0,9959
0.9969
0,9977
0.9984
2.5
0.9938
0.9943
0.9957
0.9968
0.9977
0.9983
0.9946
0.9960
0.9970
0,9978
0.9984
0.9948
0.9961
2.6
2.7
2.8
2.9
0.9953
0.9965
0.9974
0.9981
0.9949
0.9962
0.9972
0.9979
0.9985
0.9952
0.9964
0.9974
0.9981
0.9986
0.9956
0.9967
0.9976
0.9982
0.9971
0,9979
0.9985
ver
i
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
0.9987
0,9991
0.9994
0.9995
0.9997
0.9988
0,9991
0.9994
0.9996
0.9997
0,9988
0.9992
0.9994
0.9996
0.9997
0,9989
0,9992
0.9994
0.9996
0.9997
0,9989
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
0.9990
0.9993
0.9995
0.9997
0.9998
swer
(b) Confidence Interval Critical Values, Za2
(c) Hypothesis Testing Critical Values
Level of Confidence
Critical Value, Za?
Level of Significance, a
Left-Tailed Right-Tailed Two-Taikled
0.90 or 90%
1.645
0.10
-1.28
1.28
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
±2575
0.99 or 99%
2.575
回po](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f31674c-54ac-4195-b066-74bded9564e1%2Fa1fd856c-74cf-4695-aa10-47ee0f38683a%2Fnb4nx6_processed.jpeg&w=3840&q=75)
![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) =O 10, the sample size is
5% of the population size, and the sample
the requirements for testing the hypothesis
satisfied.
(Round to one decimal place as needed.)
O 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
-3.4
-33
-3.2
0.0003
0.0005
0.0007
0.0003
0.0005
0.0007
0.0009
0.0013
0.0003
0.0005
0.0006
0.0009
0.0013
0.0003
0.0004
0.0006
0.0009
0.0012
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0008
0.0011
0.0003
0.0004
0.0006
0.0003
0.0004
0.0005
0.0008
0.0011
0.0003
0.0004
0.0005
0.0007
0.0010
0.0002
0.0003
0.0005
0.0007
0.0010
-3.1
-30
0.0010
0.0013
0.0008
0.0012
0.0008
0.0011
-29
-28
-2.7
-2.6
-2.5
0.0019
0.0026
0.0035
0.0018
0.0025
0.0034
0.0045
0.0060
0.0018
0.0024
0.0033
0.0044
0.0059
0.0017
0.0023
0.0032
0.0043
0.0057
0.0016
0.0023
0.0031
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
0.0047
0.0062
0.0041
0.0055
-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
0.0075
0.0073
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
0.0099
0.0096
0.0129
0.0166
0.0212
0.0125
0.0162
0.0207
-1.9
-1.8
-1.7
-1.6
-1.5
0.0287
0.0359
0.0446
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
0.0606
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
0.0548
0.0668
-14
-13
-1.2
0.0808
0.0968
0.1151
0.0793
0.0951
0.1131
0.0778
0.0934
0.1112
0.1314
0.1539
0.0764
0.0918
0.1093
0.1292
0.1515
0.0749
0.0901
0.1075
0.1271
0.1492
0.0735
0.0885
0.1056
0.1251
0.1469
0.0721
0.0869
0.1038
0.0708
0.0853
0.1020
0.1210
0.1423
0.0694
0.0838
0.1003
0.1190
0.1401
0.0681
0.0823
0.0985
0.1170
0.1379
-1.1
-1.0
0.1357
0.1587
0.1335
0.1562
0.1230
0.1446
0.1841
0.2119
0.2420
0.2743
0.3085
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
0.2611
0.2946
0.1711
0.1977
0.2266
0.2578
0.2912
0.1685
0.1949
0.2236
0.2546
0.2877
0.1660
0.1922
0.2206
0.2514
0.2843
0.1635
0.1894
0.2177
0.2483
0.2810
0.1611
0.1867
02148
0.2451
0.2776
-0.9
0.1814
-08
-0.7
0.2090
0.2389
0.2709
0.3050
-0.6
-0.5
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0.4562
0.4960
0.3372
0.3745
0.4129
0.4522
0.4920
0.3336
0.3707
0.4090
0.4483
0.4880
0.3300
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0.4052
0.4443
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0.3264
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0.4013
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0.4801
0.3228
0.3594
0.3974
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0.4761
0.3192
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