Given the 5 categories in the table below, test the claim that the categories are equally likely to be selected at a a = 0.05 significance level. Observed Expected Frequency Frequency Category A 16 В 25 13 D 23 E 19 a. Complete the table by calculating the expected frequencies. b. What is the chi-square test statistic? Round to three decimal places. c. What are the degrees of freedom? d.f.-

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Q7
Given the 5 categories in the table below, test the claim that the categories are equally likely to be
selected at a a = 0.05 significance level.
Observed
Expected
Frequency Frequency
Category
A
16
В
25
13
D
23
E
19
a. Complete the table by calculating the expected frequencies.
b. What is the chi-square test statistic? Round to three decimal places.
x' =
c. What are the degrees of freedom?
d.f.=
d. What is the p-value for this sample? Round to four decimal places.
p-value =
e. Is the p-value less than a? ?
f. Make a decision.
Select an answer
g. Make a conclusion.
O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally
likely to be selected.
O There is not sufficient evidence to warrant rejection of the claim that all 5 categories are
equally likely to be selected.
The sample data support the claim that all 5 categories are equally likely to be selected.
There is not sufficient sample evidence to support the claim that all 5 categories are equally
likely to be selected.
Transcribed Image Text:Given the 5 categories in the table below, test the claim that the categories are equally likely to be selected at a a = 0.05 significance level. Observed Expected Frequency Frequency Category A 16 В 25 13 D 23 E 19 a. Complete the table by calculating the expected frequencies. b. What is the chi-square test statistic? Round to three decimal places. x' = c. What are the degrees of freedom? d.f.= d. What is the p-value for this sample? Round to four decimal places. p-value = e. Is the p-value less than a? ? f. Make a decision. Select an answer g. Make a conclusion. O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. O There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. The sample data support the claim that all 5 categories are equally likely to be selected. There is not sufficient sample evidence to support the claim that all 5 categories are equally likely to be selected.
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