Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person r
Posted: Sun Jul 10, 2022 10:12 am
Conduct the hypothesis test and provide the test statistic andthe critical value, and state the conclusion.
A person randomly selected
100
checks and recorded the cents portions of those checks. Thetable below lists those cents portions categorized according to theindicated values. Use a
0.10
significance level to test the claim that the four categoriesare equally likely. The person expected that many checks for wholedollar amounts would result in a disproportionately high frequencyfor the first category, but do the results supportthat expectation?
Cents portion of check
0-24
25-49
50-74
75-99
Number
31
23
24
22
Click here to view the chi-square distribution table.
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Question content area bottom
Part 1
The test statistic is
enter your response here.
(Round to three decimal places as needed.)
Part 2
The critical value is
enter your response here.
(Round to three decimal places as needed.)
Part 3
State the conclusion.
▼
Reject
Do not reject
H0.
There
▼
is
is not
sufficient evidence to warrant rejection of the claim that thefour categories are equally likely. The results
▼
appear
do not appear
to support the expectation that the frequency for the firstcategory is disproportionately high.
Area to the Right of the Critical Value
Degrees of Freedom
0.995
0.99
0.975
0.95
0.90
0.10
0.05
0.025
0.01
0.005
1
-
-
0.001
0.004
0.016
2.706
3.841
5.024
6.635
7.879
2
0.010
0.020
0.051
0.103
0.211
4.605
5.991
7.378
9.210
10.597
3
0.072
0.115
0.216
0.352
0.584
6.251
7.815
9.348
11.345
12.838
4
0.207
0.297
0.484
0.711
1.064
7.779
9.488
11.143
13.277
14.860
5
0.412
0.554
0.831
1.145
1.610
9.236
11.071
12.833
15.086
16.750
6
0.676
0.872
1.237
1.635
2.204
10.645
12.592
14.449
16.812
18.548
7
0.989
1.239
1.690
2.167
2.833
12.017
14.067
16.013
18.475
20.278
8
1.344
1.646
2.180
2.733
3.490
13.362
15.507
17.535
20.090
21.955
9
1.735
2.088
2.700
3.325
4.168
14.684
16.919
19.023
21.666
23.589
10
2.156
2.558
3.247
3.940
4.865
15.987
18.307
20.483
23.209
25.188
A person randomly selected
100
checks and recorded the cents portions of those checks. Thetable below lists those cents portions categorized according to theindicated values. Use a
0.10
significance level to test the claim that the four categoriesare equally likely. The person expected that many checks for wholedollar amounts would result in a disproportionately high frequencyfor the first category, but do the results supportthat expectation?
Cents portion of check
0-24
25-49
50-74
75-99
Number
31
23
24
22
Click here to view the chi-square distribution table.
LOADING...
Question content area bottom
Part 1
The test statistic is
enter your response here.
(Round to three decimal places as needed.)
Part 2
The critical value is
enter your response here.
(Round to three decimal places as needed.)
Part 3
State the conclusion.
▼
Reject
Do not reject
H0.
There
▼
is
is not
sufficient evidence to warrant rejection of the claim that thefour categories are equally likely. The results
▼
appear
do not appear
to support the expectation that the frequency for the firstcategory is disproportionately high.
Area to the Right of the Critical Value
Degrees of Freedom
0.995
0.99
0.975
0.95
0.90
0.10
0.05
0.025
0.01
0.005
1
-
-
0.001
0.004
0.016
2.706
3.841
5.024
6.635
7.879
2
0.010
0.020
0.051
0.103
0.211
4.605
5.991
7.378
9.210
10.597
3
0.072
0.115
0.216
0.352
0.584
6.251
7.815
9.348
11.345
12.838
4
0.207
0.297
0.484
0.711
1.064
7.779
9.488
11.143
13.277
14.860
5
0.412
0.554
0.831
1.145
1.610
9.236
11.071
12.833
15.086
16.750
6
0.676
0.872
1.237
1.635
2.204
10.645
12.592
14.449
16.812
18.548
7
0.989
1.239
1.690
2.167
2.833
12.017
14.067
16.013
18.475
20.278
8
1.344
1.646
2.180
2.733
3.490
13.362
15.507
17.535
20.090
21.955
9
1.735
2.088
2.700
3.325
4.168
14.684
16.919
19.023
21.666
23.589
10
2.156
2.558
3.247
3.940
4.865
15.987
18.307
20.483
23.209
25.188