Outcome A B C D Observed 11 9 9 11 Expected 10 10 10 10 H 0 : P A =P B = P C =P

Question

Outcome

A

B

C

D

Observed

11

9

9

11

Expected

10

10

10

10

H0: PA =PB = PC =PD = 1/4

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

(b) There are ___ degrees of freedom.

(c) The critical value using a=0.05 is ___

(d) test the hypothesis at the =0.05 level of significance?

Determine (a) the 2 test statistic, (b) the degrees of freedom, (c) the critical value using =0.05,
and (d) test the hypothesis at the =0.05 level of significance.

Outcome

A

B

C

D

Observed

11

9

9

11

Expected

10

10

10

10

Explanation / Answer

applying chi square goodness of fit test:

for test statistic =0.4

b) degree of freedom =number of categories-1=4-1=3

c) for 3 df and 0.05 level critical value =7.815

d) as test statistic is less than crtiicak value ; we fail to reject null hypothesis

observed Expected Chi square category Probability O E=total*p =(O-E)^2/E A 1/4 11.000 10.00 0.10 B 1/4 9.000 10.00 0.10 C 1/4 9.000 10.00 0.10 D 1/4 11.000 10.00 0.10 1 40 40 0.400

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.