You are conducting a Goodness of Fit Chi-Squared hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category Observed Expected Frequency Frequency ((O-E)^2/E) A 20 B 9 C 12 D 9 E 16 Round Expected values accurate to exactly 2 decimal places. Retain unrounded numbers for future calculations. Round the ((O-E)^2/E) values to 3 decimals. What is the chi-square test-statistic for this data? (Round answer to 3 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? (Round answer to 3 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 fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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You are conducting a Goodness of Fit Chi-Squared hypothesis test (a = 0.05) for the claim that all 5
categories are equally likely to be selected. Complete the table.
Category
Observed Expected
Frequency Frequency
((O-E)^2/E)
A
20
B
9
C
D
E
16
Round Expected values accurate to exactly 2 decimal places. Retain unrounded numbers for future
calculations.
Round the ((O-E)^2/E) values to 3 decimals.
What is the chi-square test-statistic for this data? (Round answer to 3 decimal places, and remember to use
the unrounded Pearson residuals in your calculations.)
x² =
What are the degrees of freedom for this test?
d.f.=
What is the p-value for this sample? (Round answer to 3 decimal places.)
p-value =
The p-value is...
O less than (or equal to) a
greater than a
This test statistic leads to a decision to...
O reject the null
O fail to reject the null
As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely
to be selected.
There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally
likely to be selected.
=
12
9
Transcribed Image Text:You are conducting a Goodness of Fit Chi-Squared hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category Observed Expected Frequency Frequency ((O-E)^2/E) A 20 B 9 C D E 16 Round Expected values accurate to exactly 2 decimal places. Retain unrounded numbers for future calculations. Round the ((O-E)^2/E) values to 3 decimals. What is the chi-square test-statistic for this data? (Round answer to 3 decimal places, and remember to use the unrounded Pearson residuals in your calculations.) x² = What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? (Round answer to 3 decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. = 12 9
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