Manufacturers are testing a die to make sure that it is fair (has a uniform adistribution). 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) xổ = 4.500. (c) Determine the critical value using the following portion of the x2-table. Xổ.10 Xố.025 X,005 df

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Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die72 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) xở = 4.500.
(c) Determine the critical value using the following portion of the x2-table.
df
Xổ.025
Xổ.005
...
....
...
...
4
7.779
9.488
11.143
13.277
14.860
9.236
11.070
12.833
15.086
16.750
10.645
12.592
14.449
16.812
18.548
7
12.017
14.067
16.013
18.475
20.278
8
13.362
15.507
17.535
20.090
21.955
Provide your answer below:
Critical Value=
Transcribed Image Text:Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die72 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) xở = 4.500. (c) Determine the critical value using the following portion of the x2-table. df Xổ.025 Xổ.005 ... .... ... ... 4 7.779 9.488 11.143 13.277 14.860 9.236 11.070 12.833 15.086 16.750 10.645 12.592 14.449 16.812 18.548 7 12.017 14.067 16.013 18.475 20.278 8 13.362 15.507 17.535 20.090 21.955 Provide your answer below: Critical Value=
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