The test statistic of z = 0.85 is obtained when testing the claim that p > 0.2. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of α = 0.10, should we reject H0 or should we fail to reject H0?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 27RE
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Question

The test statistic of z = 0.85 is obtained when testing the claim that p > 0.2.

Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.

Find the P-value.

Using a significance level of α = 0.10, should we reject H0 or should we fail to reject H0?

M
Co Bb X Bb 150 Bb 150 Bb 150 Bb 150
с
15001410
58°F
Clear
POSITIVE z Scores
1
20221023_050547.jpg
Unt P Pea
ChiSquare.pdf
Rec
learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/5c17fe2f895b7/15001410?X-Blackboard-Expiration=1666537200000&X-...
H
1 / 1
Z
៖ វ ទី ៨ ៩ ៖ ៖ ៤ គឺ 3 9 = D 03 1 ១.៦ ១១ ខ គ ន ឌ
0.0
0.1
0.2
0.3
0.4
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
2.0
2.1
My W Tab OLO HO OLO Cri C Ch
2.2
2.4
2.5
2.6
2.7
2.8
2.9
3.0
3.1
3.2
3.3
3.4
3.50
and up
.00
DELL
5000
5398
5793
.6179
.6554
.6915
.7257
7580
7881
.8159
Standard Normal (z) Distribution: Cumulative Area from the LEFT
.05
.8413
8643
8849
.9032
9192
9332
9452
9554
.9641
9713
.9772
9821
9861
9893
.9918
.9938
9953
.9965
9974
9981
9987
.9990
9993
9995
9997
.9999
70% +
data n4a.jpg
.01
5040
5438
5832
6217
6591
6950
7291
7611
7910
8186
8438
8665
8869
9049
9207
9345
9463
9564
9649
9719
9778
9826
9864
9896
9920
9940
9955
.9966
9975
9982
9987
9991
9993
9995
9997
02
5080
5478
5871
6255
6628
6985
7324
7642
7939
8212
8461
8686
8888
.9066
9222
9357
9474
.9573
9656
9726
9783
9830
9868
.9898
.9922
9941
9956
9967
9976
9982
9987
.9991
9994
9995
9997
.03
.04
5160
5557
5948
.6331
6700
7054
.7389
.7704
7995
8264
8508
8729
8925
9099
9251
9382
9495
9484
.9582 .9591
9671
9738
9793
9838
9875
9904
.9927
9945
9959
9969
POSITIVE z Scores
5120
5517
5910
.6293
6664
7019
7357
7673
7967
.8238
8485
.8708
8907
.9082
9236
9370
.9664
9732
9788
.9834
9871
.9901
9925
9943
9957
9968
.9977
.9983
9988
.9991
9994
.9996
9997
9977
.9984
9988
.9992
9994
NOTE: For values of z above 3.49, use 0.9999 for the area.
*Use these common values that result from interpolation:
.9996
9997
5199
5596
5987
.6368
6736
.7088
7422
7734
8023
.8289
.8531
8749
8944
.9115
.9265
.9394
.9505
.9599
.9678
.9744
.9798
.9842
9878
9906
.9929
.9946
9960
.9970
Sea
.9978
.9984
.9989
.9992
.9994
.9996
9997
99+
.06
.07
5239
5279
5636 5675
.6026 6064
.6406 .6443
6772 .6808
.7123
.7157
.7454 .7486
.7764 .7794
8051
8078
.8315
8340
.8554 8577
.8770 8790
8962
.9131
.9279
.9406
9515
.9608
.9686
.8980
.9147
9292
9418
9525
.9616
9693
.9750
9803
9756
.9808
.9846 ,9850
.9881
.9909
.9884
.9911
9932
He
.9931
9948
9961
.9971
9979
.9985
.9989
9992
9994 .9995
.9996
.9996
9997
9997
9962
.9972
9979
9985
.9989
9992
.08
5319
5714
6103
6480
6844
.7190
7517
7823
8106
.8365
.8599
8810
.8997
.9162
9306
9429
.9535
.9625
9699
9761
.9812
9854
9934
.9949 . .9951
9963
9973
9980
.9887
.9913
M Inb
9986
9990
.9993
9995
9996
.9997
W
.09
5359
5753
6141
.6517
.6879
.7224
7549
.7852
8133
8389
8621
8830
9015
.9177
9319
9441
9545
.9633
9706
.9767
9817
9857
9890
9916
9936
9952
9964
.9974
9981
.9986
.9990
9993
9995
9997
9998
Common Critical Value
Confidence | Critical
Laval
Inb +
o
T
D :
Show all
X
5:32 AM
10/23/2022
1
X
Transcribed Image Text:M Co Bb X Bb 150 Bb 150 Bb 150 Bb 150 с 15001410 58°F Clear POSITIVE z Scores 1 20221023_050547.jpg Unt P Pea ChiSquare.pdf Rec learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/5c17fe2f895b7/15001410?X-Blackboard-Expiration=1666537200000&X-... H 1 / 1 Z ៖ វ ទី ៨ ៩ ៖ ៖ ៤ គឺ 3 9 = D 03 1 ១.៦ ១១ ខ គ ន ឌ 0.0 0.1 0.2 0.3 0.4 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 2.0 2.1 My W Tab OLO HO OLO Cri C Ch 2.2 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 3.50 and up .00 DELL 5000 5398 5793 .6179 .6554 .6915 .7257 7580 7881 .8159 Standard Normal (z) Distribution: Cumulative Area from the LEFT .05 .8413 8643 8849 .9032 9192 9332 9452 9554 .9641 9713 .9772 9821 9861 9893 .9918 .9938 9953 .9965 9974 9981 9987 .9990 9993 9995 9997 .9999 70% + data n4a.jpg .01 5040 5438 5832 6217 6591 6950 7291 7611 7910 8186 8438 8665 8869 9049 9207 9345 9463 9564 9649 9719 9778 9826 9864 9896 9920 9940 9955 .9966 9975 9982 9987 9991 9993 9995 9997 02 5080 5478 5871 6255 6628 6985 7324 7642 7939 8212 8461 8686 8888 .9066 9222 9357 9474 .9573 9656 9726 9783 9830 9868 .9898 .9922 9941 9956 9967 9976 9982 9987 .9991 9994 9995 9997 .03 .04 5160 5557 5948 .6331 6700 7054 .7389 .7704 7995 8264 8508 8729 8925 9099 9251 9382 9495 9484 .9582 .9591 9671 9738 9793 9838 9875 9904 .9927 9945 9959 9969 POSITIVE z Scores 5120 5517 5910 .6293 6664 7019 7357 7673 7967 .8238 8485 .8708 8907 .9082 9236 9370 .9664 9732 9788 .9834 9871 .9901 9925 9943 9957 9968 .9977 .9983 9988 .9991 9994 .9996 9997 9977 .9984 9988 .9992 9994 NOTE: For values of z above 3.49, use 0.9999 for the area. *Use these common values that result from interpolation: .9996 9997 5199 5596 5987 .6368 6736 .7088 7422 7734 8023 .8289 .8531 8749 8944 .9115 .9265 .9394 .9505 .9599 .9678 .9744 .9798 .9842 9878 9906 .9929 .9946 9960 .9970 Sea .9978 .9984 .9989 .9992 .9994 .9996 9997 99+ .06 .07 5239 5279 5636 5675 .6026 6064 .6406 .6443 6772 .6808 .7123 .7157 .7454 .7486 .7764 .7794 8051 8078 .8315 8340 .8554 8577 .8770 8790 8962 .9131 .9279 .9406 9515 .9608 .9686 .8980 .9147 9292 9418 9525 .9616 9693 .9750 9803 9756 .9808 .9846 ,9850 .9881 .9909 .9884 .9911 9932 He .9931 9948 9961 .9971 9979 .9985 .9989 9992 9994 .9995 .9996 .9996 9997 9997 9962 .9972 9979 9985 .9989 9992 .08 5319 5714 6103 6480 6844 .7190 7517 7823 8106 .8365 .8599 8810 .8997 .9162 9306 9429 .9535 .9625 9699 9761 .9812 9854 9934 .9949 . .9951 9963 9973 9980 .9887 .9913 M Inb 9986 9990 .9993 9995 9996 .9997 W .09 5359 5753 6141 .6517 .6879 .7224 7549 .7852 8133 8389 8621 8830 9015 .9177 9319 9441 9545 .9633 9706 .9767 9817 9857 9890 9916 9936 9952 9964 .9974 9981 .9986 .9990 9993 9995 9997 9998 Common Critical Value Confidence | Critical Laval Inb + o T D : Show all X 5:32 AM 10/23/2022 1 X
M
Cor Bb X Bb 150 Bb 150 Bb 150
15001407
58°F
Clear
Myl W Tab OLOHOOL Crit C Che
learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/5c17fe2f895b7/15001407?X-Blackboard-Expiration=1666537200000&X-...
NEGATIVEzScores
1
20221023_050547.jpg
Unt ? Pea
ChiSquare.pdf
Rec
H
1 / 1
data n4a.jpg
DELL
33% +
NEGATIVE z Scores
-23
24
21
-22
-20
alt
-0.9
-ar
-05
-0.4
-0.3
-0.2
-0.1
-0.0
Standard Normal (2) Distribution: Cumulative Ares from the LEFT
A207
0040
0104
0136
OM
www
Aw
M
3050
3405
AM62
UM
www
1015
3372
3M5
NOTE Forf below-3.49 use for the
"Use these common values that result from
04
vis
HR
3492
3736
MI
2945
3500
3667
4052
6443
4840
★ Sea 5 Her
wwww
Na
2012
3264
3652
440
0051 0052 0051 0049 2016
99+
000
1949
00
cors
DIE
050 ONG
0902
P
ANCE
3020
1210
3428
3660
ku
314
2843
3132
3557
3936
ADDE
4321
3400
34635
M4A
2810
3520
M Inbo
W
MInb +
o
T
D :
Show all
X
5:32 AM
10/23/2022
X
1
Transcribed Image Text:M Cor Bb X Bb 150 Bb 150 Bb 150 15001407 58°F Clear Myl W Tab OLOHOOL Crit C Che learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/5c17fe2f895b7/15001407?X-Blackboard-Expiration=1666537200000&X-... NEGATIVEzScores 1 20221023_050547.jpg Unt ? Pea ChiSquare.pdf Rec H 1 / 1 data n4a.jpg DELL 33% + NEGATIVE z Scores -23 24 21 -22 -20 alt -0.9 -ar -05 -0.4 -0.3 -0.2 -0.1 -0.0 Standard Normal (2) Distribution: Cumulative Ares from the LEFT A207 0040 0104 0136 OM www Aw M 3050 3405 AM62 UM www 1015 3372 3M5 NOTE Forf below-3.49 use for the "Use these common values that result from 04 vis HR 3492 3736 MI 2945 3500 3667 4052 6443 4840 ★ Sea 5 Her wwww Na 2012 3264 3652 440 0051 0052 0051 0049 2016 99+ 000 1949 00 cors DIE 050 ONG 0902 P ANCE 3020 1210 3428 3660 ku 314 2843 3132 3557 3936 ADDE 4321 3400 34635 M4A 2810 3520 M Inbo W MInb + o T D : Show all X 5:32 AM 10/23/2022 X 1
Expert Solution
Step 1

From the provided information,

The test statistic of z = 0.85 is obtained when testing the claim that p > 0.2.

Level of significance (α) = 0.10

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