Given the 5 categories in the table below, test the claim that the categories are equally likely to beselected at a a= 0.05 significance level.ObservedExpectedFrequency FrequencyCategoryA181322D19E19a. Complete the table by calculating the expected frequencies.b. What is the chi-square test statistic? Round to three decimal places.x² =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 answerg. Make a conclusion.O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equallylikely to be selected.O There is not sufficient evidence to warrant rejection of the claim that all 5 categories areequally likely to be selected.OThe 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 equallylikely to be selected.B.

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Description: Given the 5 categories in the table below, test the claim that the categories are equally likely to beselected at a a= 0.05 significance level.ObservedExpectedFrequency FrequencyCategoryA181322D19E19a. Complete the table by calculating the expected

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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 18 В 13 C 22 19 19 a. Complete the table by calculating the expected frequencies. b. What is the chi-square test statistic? Round to three decimal places. x² = c. What are the degrees of freedom? d.f.3D d. What is the p-value for this sample? Round to four decimal places. p-value = e. Is the p-value less than a? ?

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 18 В 13 C 22 19 19 a. Complete the table by calculating the expected frequencies. b. What is the chi-square test statistic? Round to three decimal places. x² = c. What are the degrees of freedom? d.f.3D d. What is the p-value for this sample? Round to four decimal places. p-value = e. Is the p-value less than a? ?

MATLAB: An Introduction with Applications

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Question

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
18
13
22
D
19
E
19
a. Complete the table by calculating the expected frequencies.
b. What is the chi-square test statistic? Round to three decimal places.
x² =
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.
OThe 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.
B.

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