A machine drops balls randomly into 5 bins labeled A, B, C, D, and E. If the machine is working correctly, all bins should end up with the same number of balls. Is there evidence that the machine is not working correctly? Observed Expected Frequency Bin Label Frequency A 11 17 21 12 E 24 Report all answers accurate to three decimal places. But retain unrounded numbers for future ilatio What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A machine drops balls randomly into 5 bins labeled A, B, C, D, and E. If the machine is working
correctly, all bins should end up with the same number of balls. Is there evidence that the machine
is not working correctly?
Observed
Expected
Frequency
Bin Label
Frequency
A
11
В
17
21
D
12
24
Report all answers accurate to three decimal places. But retain unrounded numbers for future
calculations.
What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places,
and remember to use the unrounded Pearson residuals in your calculations.)
What are the degrees of freedom for this test?
d.f.=
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
Transcribed Image Text:A machine drops balls randomly into 5 bins labeled A, B, C, D, and E. If the machine is working correctly, all bins should end up with the same number of balls. Is there evidence that the machine is not working correctly? Observed Expected Frequency Bin Label Frequency A 11 В 17 21 D 12 24 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
The p-value is...
O less than (or equal to) a
O greater than a
This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
O accept the alternative
As such, the final conclusion is that...
There is sufficient evidence to warrant rejection of the claim that all 5 bins are equally likely to
be selected.
There is not sufficient evidence to warrant rejection of the claim that all 5 bins are equally
likely to be selected.
O The sample data support the claim that all 5 bins are equally likely to be selected.
There is not sufficient sample evidence to support the claim that all 5 bins are equally likely to
be selected.
Transcribed Image Text:The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null O accept the alternative As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that all 5 bins are equally likely to be selected. There is not sufficient evidence to warrant rejection of the claim that all 5 bins are equally likely to be selected. O The sample data support the claim that all 5 bins are equally likely to be selected. There is not sufficient sample evidence to support the claim that all 5 bins are equally likely to be selected.
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