You are conducting a multinomial Goodness of Fit hypothesis test for the claim that all 5 categories are equally likely to be selected at the 0.01 significance level. Complete the table. Report all answers correct to three decimal places. Category Observed Frequency Expected Frequency (O−E)2E(O-E)2E A 20 B 12 C 19 D 18 E 16 H0: pA = pB = pC = pD = pE H1: at least one is different Original claim = Select an answer H₀ H₁ Enter the critical value, along with the significance level and degrees of freedom χ2χ2(αα,df) below the graph. (Graph is for illustration only. No need to shade.) X2Χ2(,) = (Round to three decimal places.) Test Statistic = (Round to three decimal places.) p-value= (Round to four decimal places.) Decision: Select an answer Fail to reject the null hypothesis Accept the alternative hypothesis Accept the null hypothesis Reject the null hypothesis Conclusion: Select an answer There is sufficient evidence to warrant rejection of There is not enough evidence to support There is not sufficient evidence to warrant rejection of The sample data supports the claim that all 5 categories are equally likely to be selected. Submit QuestionQuestion 5
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that all 5 categories are equally likely to be selected at the 0.01 significance level. Complete the table. Report all answers correct to three decimal places.
Category | Observed Frequency |
Expected Frequency |
(O−E)2E(O-E)2E |
---|---|---|---|
A | 20 | ||
B | 12 | ||
C | 19 | ||
D | 18 | ||
E | 16 |
H0: pA = pB = pC = pD = pE
H1: at least one is different
Enter the critical value, along with the significance level and degrees of freedom χ2χ2(αα,df) below the graph. (Graph is for illustration only. No need to shade.)
(Round to three decimal places.)
Test Statistic = (Round to three decimal places.)
p-value=
(Round to four decimal places.)
Decision: Select an answer Fail to reject the null hypothesis Accept the alternative hypothesis Accept the null hypothesis Reject the null hypothesis
Conclusion: Select an answer There is sufficient evidence to warrant rejection of There is not enough evidence to support There is not sufficient evidence to warrant rejection of The sample data supports the claim that all 5 categories are equally likely to be selected.
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