Question

Homework Homework 6.3 You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: H, PA = 0.2; p = 0.3; pc - 0.2: PD = 0.3 Complete the table. Report all answers accurate to three decimal places. Category Observed Expected Frequency Frequency A 9 B 29 C 24 D 23 What is the chi-square test statistic for this data? x? What is the P.Value? P-Value - For significance level alpha 0.025, What would be the conclusion of this hypothesis test? O Fail to reject the Null Hypothesis Reject the Null Hypothesis Report all answers accurate to three decimal places. uெation iainautitan nalatta MacBook Pro ODO esc F2 F3 F4 5 76 # % 5 ܢܢ 2 3 4 6 C WA D T

Answer 1

Category	Observed	Expected
A	9	85*0.2 = 17
B	29	85*0.3 = 25.5
C	24	85*0.2= 17
D	23	85*0.3 = 25.5
	Total freq= 85

ei 2 (0i - ei)? Xobs = 7.373 dof = 4–1 = 3, p-value = P(x?> 7.373) = 0.061 Since, p-value > 0.025 = sig.level, we fail to reject null hypo. So, Ans : 1st choice