Given the 5 categories in the table below, test the claim that the categories are equally likely to be selected at a α = 0.05 significance level. Observed Category Frequency 13 A B C D E 17 22 11 5 Expected Frequency 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. 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
Given the 5 categories in the table below, test the claim that the categories are equally likely to be selected at a α = 0.05 significance level. Observed Category Frequency 13 A B C D E 17 22 11 5 Expected Frequency 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. 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
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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In categorical data, there are k classes with observed frequency O and expected frequency E. The test statistic U has an approximate chi-square distribution with k-1 degrees of freedom. The test statistic is given by the following formula
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