A car manufacturer wishes to test whether a higher proportion of car drivers in Malaysia has converted to LPG fuel compared to Singapore. A survey of a sample of 55 drivers in Malaysia revealed that 21 had converted to LPG while 10 out of 45 Singapore drivers had done so. Test the claim at the 0.05 level of significance. Question content area bottom Part 1 Set up the null and alternative hypotheses to determine if a higher proportion of Malaysia drivers has converted to LPG fuel. Let population 1 correspond to the drivers in Malaysia and population 2 correspond to the drivers in Singapore. Choose the correct answer below. A. H0: π1≠π2 H1: π1=π2 B. H0: π1=π2 H1: π1≠π2 C. H0: π1≤π2 H1: π1>π2 D. H0: π1≥π2 H1: π1<π2 Part 2 Conduct the hypothesis test using the 0.05 level of significance. Calculate the test statistic, Z. Z=enter your response here (Round to two decimal places as needed.) Part 3 Find the rejection region. Select the correct answer below and fill in any answer boxes in your choice. (Round to two decimal places as needed.) A. Z>+enter your response here B. Z<−enter your response here or Z>+enter your response here C. Z<−enter your response here Part 4 Determine a conclusion. ▼ Do not reject Reject the null hypothesis. There ▼ is insufficient evidence is evidence a higher proportion of drivers in Malaysia has converted to LPG fuel. Part 5 Does the result of the test make it appropriate to claim that the proportion is higher? ▼ Yes, No, the result ▼
A car manufacturer wishes to test whether a higher proportion of car drivers in Malaysia has converted to LPG fuel compared to Singapore. A survey of a sample of 55 drivers in Malaysia revealed that 21 had converted to LPG while 10 out of 45 Singapore drivers had done so. Test the claim at the 0.05 level of significance. Question content area bottom Part 1 Set up the null and alternative hypotheses to determine if a higher proportion of Malaysia drivers has converted to LPG fuel. Let population 1 correspond to the drivers in Malaysia and population 2 correspond to the drivers in Singapore. Choose the correct answer below. A. H0: π1≠π2 H1: π1=π2 B. H0: π1=π2 H1: π1≠π2 C. H0: π1≤π2 H1: π1>π2 D. H0: π1≥π2 H1: π1<π2 Part 2 Conduct the hypothesis test using the 0.05 level of significance. Calculate the test statistic, Z. Z=enter your response here (Round to two decimal places as needed.) Part 3 Find the rejection region. Select the correct answer below and fill in any answer boxes in your choice. (Round to two decimal places as needed.) A. Z>+enter your response here B. Z<−enter your response here or Z>+enter your response here C. Z<−enter your response here Part 4 Determine a conclusion. ▼ Do not reject Reject the null hypothesis. There ▼ is insufficient evidence is evidence a higher proportion of drivers in Malaysia has converted to LPG fuel. Part 5 Does the result of the test make it appropriate to claim that the proportion is higher? ▼ Yes, No, the result ▼
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A car manufacturer wishes to test whether a higher proportion of car drivers in Malaysia has converted to LPG fuel compared to Singapore. A survey of a sample of
55
drivers in Malaysia revealed that
21
had converted to LPG while
10
out of
45
Singapore drivers had done so. Test the claim at the 0.05 level of significance.Question content area bottom
Part 1
Set up the null and alternative hypotheses to determine if a higher proportion of Malaysia drivers has converted to LPG fuel.
Let population 1 correspond to the drivers in Malaysia and population 2 correspond to the drivers in Singapore. Choose the correct answer below.
H0:
π1≠π2
H1:
π1=π2
H0:
π1=π2
H1:
π1≠π2
H0:
π1≤π2
H1:
π1>π2
H0:
π1≥π2
H1:
π1<π2
Part 2
Conduct the hypothesis test using the 0.05 level of significance.
Calculate the test statistic,
Z.
Z=enter your response here
(Round to two decimal places as needed.)Part 3
Find the rejection region. Select the correct answer below and fill in any answer boxes in your choice.
(Round to two decimal places as needed.)
Z>+enter your response here
Z<−enter your response here
or
Z>+enter your response here
Z<−enter your response here
Part 4
Determine a conclusion.
▼
Do not reject
Reject
▼
is insufficient evidence
is evidence
Part 5
Does the result of the test make it appropriate to claim that the proportion is higher?
▼
Yes,
No,
▼
does not make
makes
Transcribed Image Text:Cumulative Probabili ties
O00
0.02
0.03
0.04
0.05
0.06
0.08
0.09
0.000000001
0.000000019
-6.0
-55
-5.0
0.000000287
-45
0.000003398
-4.0
0.000031671
-3.9
0.00005
0.0000s
0.00004
0.00004
0.00004
0.00004
0.00004
0.00004
0.00003 0.00003
-3.8
0.00007
0.00007
0.00007
0.00006
0.00006
0.00006
0.00006
0.00005
0.00005 0.00005
0.00008 0.00008
0.00011
0.00012
-3.7
0.00011
0.00010
0.00010
0.00010
0.00009
0.00009
0.00008
0.00008
0.00012
-3.6
0.00016
0.00015
0.00015
0.00014
0.00014
0.00013
0.00013
-3.5
0.00023
0.00022
0.00022
0.00021
0.00020
0.00019
0.00019
0.00018
0.00017 0.00017
-3.4
0.00034
0.00032
0.00031
0.00030
0.00029
0.00028
0.00027
0.00026
0.00025
0.00024
-33
0.00048
0.00047
0.00045
0.00043
0.00042
0.00040
0.00039
0.00038
0.00036
0.00035
-32
-3.1
0.00050
0.00071
0.00069
0.00066
0.00064
0.00062
0.00060
0.00058
0.00056
0.00054
0.00052
0.00097
0.00094
0.00090
0.00087
0.00084
0.00082
0.00079
0.00076
0.00074
-3.0
0.00135
0.00131
0.00126
0.00122
0.00118
0.00114
0.00111
0.00107
0.00103
0.00100
-29
0.0019
0.0018
0.0018
0.0017
0.0016
0.0016
0.0015
0.0015
0.0014
0.0014
0.0022
0.0030
-2.8
0.0026
0.0025
0.0024
0.0023
0.0023
0.0021
0.0021
0.0020
0.0019
-2.7
0.0035
0.0034
0.0033
0.0032
0.0031
0.0029
0.0028
0.0027
0.0026
-2.6
0.0047
0.0045
0.0044
0.0043
0.0041
0.0040
0.0039
0.0038
0.0037
0.0036
-25
0.0062
0.0060
0.0059
0.0057
0.0055
0.0054
0.0051
0.0052
0.0069
0.0049
0.0048
-24
0.0082
0.0080
0.0078
0.0075
0.0073
0.0071
0.0068
0.0066
0.0064
0.0104
0.0136
0.0089
0.0116
-23
0.0107
0.0102
0.0099
0.0096
0.0094
0.0122
0.0158
0.0091
0.0087
0.0084
0.0132
0.0125
0.0162
-22
0.0139
0.0129
0.0119
0.0113
0.0110
-2.1
0.0179
0.0174
0.0170
0.0166
0.0154
0.0150
0.0146
0.0143
-2.0
0.0228
0.0222
0.0217
0.0212
0.0207
0.0202
0.0197
0.0192
0.0188
0.0183
-19
0.0287
0.0281
0.0274
0.0268
0.0262
0.0256
0.0250
0.0244
0.0239
0.0233
0.0351
0.0436
0.0344
0.0427
-18
0.0359
0.0336
0.0329
0.0322
0.0314
0.0307
0.0301
0.0294
0.0401
0.0495
0.0606
0.0392
0.0384
0.0475
0.0375
0.0465
0.0571
-1.7
0.0446
0.0418
0.0409
0.0367
-16
-15
0.0548
0.0537
0.0526
0.0516
0.0505
0.0485
0.0594
0.0721
0.0869
0.0455
0.0668
0.0655
0.0643
0.0630
0.0618
0.0582
0.0559
0.0735
0.O885
-14
0.0808
0.0793
0.0778
0.0764
0.0749
0.0708
0.0694
0.0681
-13
0.0968
0.0951
0.0934
0.0918
0.0901
0.0853
0.0838
0.0823
-12
0.1151
0.1131
0.1112
0.1093
0.1075
0.1056
0.1038
0.1020
0.1003
0.0985
-1.1
0.1357
0.1335
0.1314
0.1292
0.1271
0.1251
0.1230
0.1210
0.1190
0.1170
-10
-0.9
0.1587
0.1562
0.1539
0.1515
0.1492
0.1469
0.1446
0.1423
0.1401
0.1379
0.1788
0.2061
0.1736
0.2005
0.1685
0.1949
0.1841
0.1814
0.1762
0.1711
0.1660
0.1635
0.1611
0.2090
0.2388
--0.8
0.2119
0.2033
0.1977
0.1922
0.1894
0.1867
-0.7
0.2420
0.2358
0.2327
0.2296
0.2266
0.2236
0.2206
0.2177
02148
-0.6
0.2743
0.2709
0.2676
0.2643
0.2611
0.2578
0.2546
0.2514
0.2482
0.2451
-0.5
0.308S
0.3050
0.3015
0.2981
0.2946
0.2912
02877
0.2843
0.2810
0.2776
03336
0.3707
0.3192
0.3557
--0.4
0.3446
0.3409
0.3372
0.3300
0.3264
0.3228
0.3156
0.3520
0.3121
--03
0.3821
0.3783
0.3745
0.3669
0.3632
0.3594
0.3483
-02
0.4207
0.4168
0.4129
0.4090
0.4052
0.4013
0.3974
0.3936
0.3897
0.3859
0.4562
0.4522
0.4920
-0.1
0.4602
0.4483
0.4443
0.4404
0.4364
0.4325
0.4286
0.4247
-0.0
0.5000
0.4960
0.4880
0.4840
0.4801
0.4761
0.4721
0.4681
0.4641
O00
0.02
0.03
0.04
0.05
0.06
0.08
0.09
Transcribed Image Text:Cumulative Probabili ties
0.00
0.01
0.02
0.03
0.04
0.05
0.06
007
0.09
0.5000
0.5398
0.0
0.5040
0.5080
0.5120
0.5160
0.5199
0.5239
0.5636
0.5279
0.5319
0.5359
0.1
0.5438
0.5478
0.5517
0.5557
0.5596
0.5675
0.5714
0.5753
0.5871
0.5987
0.6064
0.6443
0.2
0.5793
0.5832
0.5910
0.5948
0.6026
0.6103
0.6141
0.3
0.6179
0.6217
0.6255
0.6293
0.6331
0.6368
0.6406
0.6480
0.6517
0.4
0.6554
0.6591
0.6628
0.6664
0.6700
0.6736
0.6772
0.6808
0.6844
0.6879
0.5
0.6915
0.6950
0.6985
0.7019
0.7054
0.7088
0.7123
0.7I57
0.7190
0.7224
0.7257
0.7580
0.6
0.7291
0.7324
0.7357
0.7389
0.7422
0.7734
0.7454
0.7486
0.7518
0.7549
0.7
0.7612
0.7642
0.7673
0.7704
0.7764
0.7794
0.7823
0.7852
0.8
0.7881
0.7910
0.7939
0.7967
0.7995
0.8023
0.8051
0.8078
0.8106
0.8133
0.9
0.8159
0.8186
0.8212
0.8238
0.8264
0.8289
0.8315
0.8340
0.8365
0.8389
1.0
0.8413
0.8438
0.8461
0.8485
0.8508
O.8531
0.8554
0.8577
0.8599
0.8621
1.1
0.8643
0.8665
0.8686
0.8708
0.8729
0.8749
0.8770
0.8790
0.8810
0.S830
1.2
0.8907
0.8925
0.8962
09131
0.8849
0.8869
0.8888
0.8944
0.8980
0.8997
0.9015
1.3
0.9032
0.9049
0.9066
0.9082
0.9099
0.9115
0.9147
0.9162
0.9177
1.4
0.9265
0.9192
0.9332
0.9207
0.9222
0.9236
0.9251
0.9279
0.9292
0.9306
0.9319
0.9345
0.9463
0.9382
0.9495
1.5
0.9357
0.9370
0.9394
0.9406
0.9418
0.9429
0.9441
1.6
0.9452
0.9474
0.9484
0.9505
0.9515
0.9525
0.9535
0.9545
1.7
0.9554
0.9564
0.9573
0.9582
0.9591
0.9599
0.9608
0.9616
0.9625
0.9633
1.8
0.9641
0.9649
0.9656
0.9664
0.9671
0.9678
0.9686
0.9693
0.9699
0.9706
1.9
0.9713
0.9719
0.9726
0.9732
0.9738
0.9744
0.9750
0.9756
0.9761
0.9767
0.9798
0.9842
0.9878
2.0
0.9772
0.9778
0.9783
0.9788
0.9793
0.9803
0.9808
0.9812
0.9817
0.9830
0.9868
0.9854
0.9887
2.1
0.9821
0.9826
0.9834
0.9838
0.9846
0.9850
0.9857
2.2
0.9861
0.9864
0.9871
0.9875
0.9881
0.9884
0.9890
2.3
0.9893
0.9896
0.9898
0.9901
0.9904
0.9906
0.9909
0.9911
0.9913
0.9916
0.9927
0.9945
0.9959
2.4
0.9918
0.9920
0.9922
0.9925
0.9929
0.9931
0.9932
0.9934
0.9936
2.5
0.9938
0.9940
0.9941
0.9943
0.9946
0.9948
0.9949
0.9951
0.9952
2.6
0.9953
0.9955
0.9956
0.9957
0.9960
0.9961
0.9962
0.9963
0.9964
0.9967
0.9976
2.7
0.9965
0.9966
0.9968
0.9969
0.9970
0.9971
0.9972
0.9973
0.9974
0.9975
0.9982
0.9979
0.9985
2.8
0.9974
0.9977
0.9977
0.9978
0.9979
0.9980
0.9981
2.9
0.9981
0.9982
0.9983
0.9984
0.9984
0.9985
0.9986
0.9986
3.0
0.99865
0.99869
0.99874
0.99878
0.99882
0.99886
0.99889
0.99893
0.99897
0.99900
3.1
0.99903
0.99906
0.99910
0.99913
0.99916
0.99918
0.99921
0.99924
0.99926
0.99929
0.99934
0.99953
0.99968
0.99942
0.99960
0.99950
0.99965
3.2
0.99931
0.99936
0.99938
0.99940
0.99958
0.99944
0.99946
0.99948
3.3
0.99952
0.99955
0.99957
0.99961
0.99962
0.99964
34
0.99966
0.99969
0.99970
0.99971
0.99972
0.99973
0.99974
0.99975
0.99976
3.5
0.99977
0.99978
0.99978
0.99979
0.99980
0.99982
0.99983
0.99981
0.99987
0.99981
0.99987
0.99983
0.99989
0.99992
3.6
0.99984
0.99985
0.99985
0.99986
0.99986
0.99988
0.99988
3.7
0.99989
0.99990
0.99990
0.99990
0.99991
0.99991
0.99992
0.99992
0.99992
0.99993
0.99995
3.8
0.99993
0.99993
0.99996
0.99994
0.99994
0.99994
0.99994
0.99995
0.99995
0.99995
3.9
0.99995
0.99996
0.99996
0.99996
0.99996
0.99996
0.99997
0.99997
4.0
0.999968329
4.5
0.999996602
5.0
0.999999713
0.99999998I
0.999999999
5.5
6.0
0.00
0.01
0.02
0.03
0.04
0.05
0.06
007
0.09
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