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What is the p- value

What is the p- value

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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What is the p- value
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 с D E Observed Expected Frequency Frequency 18.0 ✓ 20 22 12 22 14 0 18.0 f. Make a decision. 18.0✔ Fail to reject the null. 8 g. Make a conclusion. ✓ 18.0 8 a. Complete the table by calculating the expected frequencies. Or b. What is the chi-square test statistic? Round to three decimal places. x² = 18.0 Or 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? No OB 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.
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 с D E Observed Expected Frequency Frequency 18.0 ✓ 20 22 12 22 14 0 18.0 f. Make a decision. 18.0✔ Fail to reject the null. 8 g. Make a conclusion. ✓ 18.0 8 a. Complete the table by calculating the expected frequencies. Or b. What is the chi-square test statistic? Round to three decimal places. x² = 18.0 Or 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? No OB 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.
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