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. Category A B C D E Observed Frequency 19 12 15 19 12 Expected Frequency 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 V V 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. O The sample data support the claim that all 5 categories are equally likely to be selected. O There is not sufficient sample evidence to support the claim that all 5 categories are equally likely to be coleste

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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.
Category
A
B
C
D
E
Observed
Expected
Frequency Frequency
19
12
15
19
12
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
Y
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.
O The sample data support the claim that all 5 categories are equally likely to be selected.
O 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. Category A B C D E Observed Expected Frequency Frequency 19 12 15 19 12 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 Y 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. O The sample data support the claim that all 5 categories are equally likely to be selected. O There is not sufficient sample evidence to support the claim that all 5 categories are equally likely to be selected.
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