The test statistic of z = 0.54 is obtained when testing the claim that p > 0.5. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of a = 0.05, should we reject Ho or should we fail to reject Ho?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Problem 1P
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Standard Normal (z) Distribution: Cumulative Area from the LEFT
.00
.01
.02
.03
.04
05
.06
.07
.08
.09
-3.50
and
lower
.0001
-3.4
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0002
-3.3
.0005
.0005
.0005
.0004
.0004
.0004
.0004
.0004
.0004
.0003
-3.2
.0007
0007
.0006
.0006
.0006
.0006
.0006
.0005
.0005
.0005
-3.1
.O010
.0009
.0009
.0009
.0008
.0008
.0008
.0008
.0007
.0007
.0013
.0013
.0012
0012
.0011
.001
.001
-3.0
.o013
.0010
.0010
-2.9
.0019
O018
.0018
.0017
.0016
.0016
.0015
.0015
.0014
.0014
-2.8
.0026
.0025
.0024
.0023
.0023
.0022
.0021
.0021
.0020
.0019
-2.7
.0035
.0034
.0033
.0032
.0031
.0030
.0029
.0028
.0027
.0026
-2.6
.0047
.0045
.0044
.0043
.0041
.0040
.0039
.0038
0037
.0036
-2.5
.0062
.0060
.0059
.0057
.0055
.0054
.0052
.0051
* 0049
.0048
-2.4
.0082
.0080
.0078
.0075
.0073
.0071
.0069
.0068
.0066
.0064
-2.3
.0107
.0104
.0102
.0099
.0096
.0094
.0091
.0089
.0087
.0084
-2.2
.0139
0136
.0132
.0129
.0125
.0122
.0119
.016
0113
O110
-2.1
.0179
0174
.0170
.0166
0162
.0158
.0154
.0150
.0146
.0143
.0202
.0256
-2.0
.0228
.0222
0217
.0212
.0207
.0197
.0192
.0188
.0183
-1.9
.0287
.0281
.0274
.0268
0262
.0250
.0244
.0239
.0233
-1.8
.0359
.0344
.0336
0329
.0322
.0401
.0351
.0314
.0307
.0301
.0294
0436
0427
0418
.0516
-1.7
.0446
.0409
.0392
.0384
.0375
.0367
-1.6
.0548
0537
.0526
0505 * .0495
.0485
.0475
.0465
.0455
-1.5
.0668
.0655
.0643
.0630
.0618
.0606
.0594
.0582
.0571
.0559
-1.4
.0808
.0793
.0778
.0764
.0749
.0735
.0721
.0708
0694
.0681
-1.3
.0968
.0951
.0934
.0918
0901
.0885
.O869
.0853
0838
.0823
-1.2
1151
1131
112
1093
1075
J056
1038
.1020
1003
.0985
-1.1
1357
.1335
1314
1292
1271
1251
.1230
.1210
190
1170
-1.0
.1587
1562
1539
1515
1492
1469
1446
.1423
1401
.1379
1611
-0.9
1841
1814
1788
1762
1736
1711
1685
1660
1635
-0.8
2119
2090
2061
2033
2005
1977
.1949
.1922
1894
1867
-0.7
2420
2389
2358
2327
2296
2266
2236
.2206
2177
2148
-0.6
.2743
2709
2676
2643
2611
2578
2546
.2514
2483
2451
-0.5
.3085
.3050
3015
2981
.2946
.2912
2877
.2843
2810
.2776
-0.4
3446
3409
3372
3336
3300
3264
3228
.3192
3156
3121
-0.3
3821
3783
3745
3707
3669
3632
3594
3557
3520
3483
-0.2
4207
4168
.4129
4090
4052
4013
3974
.3936
.3897
3859
-0.1
.4602
.4562
4522
.4483
.4443
.4404
4364
.4325
4286
4247
-0.0
.5000
4960
.4920
.4880
.4840
.4801
4761
.4721
4681
4641
Transcribed Image Text:Standard Normal (z) Distribution: Cumulative Area from the LEFT .00 .01 .02 .03 .04 05 .06 .07 .08 .09 -3.50 and lower .0001 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0002 -3.3 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 .0003 -3.2 .0007 0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005 .0005 -3.1 .O010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 .0007 .0013 .0013 .0012 0012 .0011 .001 .001 -3.0 .o013 .0010 .0010 -2.9 .0019 O018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0039 .0038 0037 .0036 -2.5 .0062 .0060 .0059 .0057 .0055 .0054 .0052 .0051 * 0049 .0048 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 -2.2 .0139 0136 .0132 .0129 .0125 .0122 .0119 .016 0113 O110 -2.1 .0179 0174 .0170 .0166 0162 .0158 .0154 .0150 .0146 .0143 .0202 .0256 -2.0 .0228 .0222 0217 .0212 .0207 .0197 .0192 .0188 .0183 -1.9 .0287 .0281 .0274 .0268 0262 .0250 .0244 .0239 .0233 -1.8 .0359 .0344 .0336 0329 .0322 .0401 .0351 .0314 .0307 .0301 .0294 0436 0427 0418 .0516 -1.7 .0446 .0409 .0392 .0384 .0375 .0367 -1.6 .0548 0537 .0526 0505 * .0495 .0485 .0475 .0465 .0455 -1.5 .0668 .0655 .0643 .0630 .0618 .0606 .0594 .0582 .0571 .0559 -1.4 .0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 0694 .0681 -1.3 .0968 .0951 .0934 .0918 0901 .0885 .O869 .0853 0838 .0823 -1.2 1151 1131 112 1093 1075 J056 1038 .1020 1003 .0985 -1.1 1357 .1335 1314 1292 1271 1251 .1230 .1210 190 1170 -1.0 .1587 1562 1539 1515 1492 1469 1446 .1423 1401 .1379 1611 -0.9 1841 1814 1788 1762 1736 1711 1685 1660 1635 -0.8 2119 2090 2061 2033 2005 1977 .1949 .1922 1894 1867 -0.7 2420 2389 2358 2327 2296 2266 2236 .2206 2177 2148 -0.6 .2743 2709 2676 2643 2611 2578 2546 .2514 2483 2451 -0.5 .3085 .3050 3015 2981 .2946 .2912 2877 .2843 2810 .2776 -0.4 3446 3409 3372 3336 3300 3264 3228 .3192 3156 3121 -0.3 3821 3783 3745 3707 3669 3632 3594 3557 3520 3483 -0.2 4207 4168 .4129 4090 4052 4013 3974 .3936 .3897 3859 -0.1 .4602 .4562 4522 .4483 .4443 .4404 4364 .4325 4286 4247 -0.0 .5000 4960 .4920 .4880 .4840 .4801 4761 .4721 4681 4641
The test statistic of z = 0.54 is obtained when testing the claim that p > 0.5.
Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.
Find the P-value.
Using a significance level of a = 0.05, should we reject Ho or should we fail to reject Ho?
Transcribed Image Text:The test statistic of z = 0.54 is obtained when testing the claim that p > 0.5. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of a = 0.05, should we reject Ho or should we fail to reject Ho?
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