Determine (a) the chi squared test statistic, (b) the degrees of freedom, (c) th

Question

Determine (a) the

chi squared

test statistic, (b) the degrees of freedom, (c) the critical value using

alpha equals 0.05

,

and (d) test the hypothesis at the

alpha equals 0.05

level of significance.

Outcome

A

B

C

D

Observed

19

19

21

21

Expected

20

20

20

20

Upper H 0

:

p Subscript Upper A

equalsp Subscript Upper Bequalsp Subscript Upper Cequalsp Subscript Upper Dequalsone fourth

H1:

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

(a) The test statistic is

nothing

.

(Type an exact answer.)

level of significance.

Outcome

A

B

C

D

Observed

19

Explanation / Answer

here please revert if oberved frequency are not 19,21,20,20

applying chi square goodness of fit:

(a) The test statistic is 0.100

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

c)  critical value =7.815

observed Expected Chi square x Probability(p) Oi Ei=total*p R2i=(Oi-Ei)2/Ei A 1/4 19.000 20.0 0.05 B 1/4 21.000 20.0 0.05 C 1/4 20.000 20.0 0.00 D 1/4 20.000 20.0 0.00 total 1 80 80 0.100

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