Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die 72 times and record the outcomes. They conduct a chi-square Goodness-of-Fit hypothesis test at the 5% significance level. (a) The null and alternative hypotheses are: • Ho: The die has the uniform distribution. Ha: The die does not have the uniform distribution. (b) x = 4.500. ● (c) Determine the critical value using the following portion of the x² -table. X3.05 X0.025 X.10 df Critical Value- ... Provide your answer below: 4 5 6 7 8 7.779 9.236 10.645 12.017 13.362 ... ... X0.01 9.488 11.143 11.070 12.833 12.592 14.449 14.067 16.013 15.507 ... 13.277 15.086 16.812 18.475 17.535 20.090 X0.005 14.860 16.750 18.548 20.278 21.955 CURMIT

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Dashboard
80
Bő:
F1
2
Question
Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die 72 times and record
the outcomes.
156
W
They conduct a chi-square Goodness-of-Fit hypothesis test at the 5% significance level.
(a) The null and alternative hypotheses are:
Ho: The die has the uniform distribution.
• Ha: The die does not have the uniform distribution.
(b) x² = 4.500.
(c) Determine the critical value using the following portion of the x²-table.
X0.05
X1.10
F2
Provide your answer below:
Critical Value=
#
3
E
SEP
30
80
F3
$
4
df
R
...
4
5
6
7
11.2.1 Chi-Square Goodness-of-Fit Test | Knewton
8
F4
%
5
7.779
9.236
10.645
12.017
13.362
F5
T
9.488
11.070
12.592
14.067
15.507
^
6
F6
X0.025
/tv
Y
11.143
12.833
14.449
16.013
17.535
&
7
X0.01
F7
...
FEEDBACK
Ç
2
13.277
14.860
15.086 16.750
16.812
18.548
18.475 20.278
20.090
21.955
U
8
X0.005
.*.*.
MORE INSTRUCTION
DII
I l A
F8
1
9
F9
Chi^2 Distribution and
SUBMIT
0
0
F10
0
&
P
F11
Transcribed Image Text:Dashboard 80 Bő: F1 2 Question Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die 72 times and record the outcomes. 156 W They conduct a chi-square Goodness-of-Fit hypothesis test at the 5% significance level. (a) The null and alternative hypotheses are: Ho: The die has the uniform distribution. • Ha: The die does not have the uniform distribution. (b) x² = 4.500. (c) Determine the critical value using the following portion of the x²-table. X0.05 X1.10 F2 Provide your answer below: Critical Value= # 3 E SEP 30 80 F3 $ 4 df R ... 4 5 6 7 11.2.1 Chi-Square Goodness-of-Fit Test | Knewton 8 F4 % 5 7.779 9.236 10.645 12.017 13.362 F5 T 9.488 11.070 12.592 14.067 15.507 ^ 6 F6 X0.025 /tv Y 11.143 12.833 14.449 16.013 17.535 & 7 X0.01 F7 ... FEEDBACK Ç 2 13.277 14.860 15.086 16.750 16.812 18.548 18.475 20.278 20.090 21.955 U 8 X0.005 .*.*. MORE INSTRUCTION DII I l A F8 1 9 F9 Chi^2 Distribution and SUBMIT 0 0 F10 0 & P F11
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