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 Observed Expected Frequency Frequency A 23 7 C 10 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.= B.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.
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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.
NetTutor
Category
Observed
Expected
Frequency Frequency
Office 365
23
B.
7.
C.
D.
10
19
a. Complete the table by calculating the expected frequencies.
b. What is the chi-square test statistic? Round to three decimal places.
2.
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.
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.
P Search
Transcribed Image Text:People 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. NetTutor Category Observed Expected Frequency Frequency Office 365 23 B. 7. C. D. 10 19 a. Complete the table by calculating the expected frequencies. b. What is the chi-square test statistic? Round to three decimal places. 2. 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. 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. P Search
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