Determine (a) the χ2 test statistic, (b) the degrees of freedom, (c) the critical value using α=0.05,and (d) test the hypothesis at the α=0.05 level of significance.outcomeABCD Observed 41364637Expected 40404040 H0: pA=pB=pC=pD=14H1: At least one of the proportions is different from the others. (a) The test statistic is _____?(Type an exact answer.)

Name: Determine (a) the χ2 test statistic, (b) the degrees of freedom, (c
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Description: Determine (a) the χ2 test statistic, (b) the degrees of freedom, (c) the critical value using α=0.05,and (d) test the hypothesis at the α=0.05 level of significance.outcomeABCD Observed 41364637Expected 40404040 H0: pA=pB=pC=pD=14H1: At least

Given the data; Outcome Observed(O) Expected(E) (O-E) (O-E)2E A 41 40 1 0.025 B 36 40 -4 0.4 C 46 40 6 0.9 D 37 40 -3 0.225 160 160 0 1.55 Null and alternate hypothesis is- H0:pA=pB=pC=pDHa:At least one of the proportions is different from the others.Level of significance=0.05(a) Test statistic is given by- χ2=∑(O-E)2E Value of chi square statistics is 1.55. (b) Degree of freedom is- d.f=(n-1)=4-1=3 (c) From the table of chi square, critical value of chi square at 3 degree of freedom and 0.05 level of significance is 7.815. (d) Criteria: Reject H0 at α% level of significance if calculated value of chi square is greater than critical value, which isχcalc2>χcritical2 Conclusion: We fail to reject the null hypothesis at 5% level of significance, because χcalc2=1.55<χcritical2=7.815 Interpretation: There is no sufficient evidence to reject the null hypothesis.

Answered: Determine (a) the χ2 test statistic,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Determine (a) the χ2 test statistic, (b) the degrees of freedom, (c) the critical value using α=0.05,and (d) test the hypothesis at the α=0.05 level of significance.	outcome	A	B	C	D
Observed		41	36	46	37
Expected		40	40	40	40

H0: pA=pB=pC=pD=14

H1: At least one of the proportions is different from the others.

(a) The test statistic is _____?

(Type an exact answer.)

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