Consider the following contingency table of observed frequencies. Complete parts

Question

Consider the following contingency table of observed frequencies. Complete parts a. through d. below.

Column Variable

Row Variable

Upper C 1C1

Upper C 2C2

Upper C 3C3

Upper R 1R1

9

7

11

Upper R 2R2

12

9

6

b, Calculate the expected frequencies for each cell in the contingency table.

Column Variable

Row Variable

Upper C 1C1

Upper C 2C2

Upper C 3C3

Upper R 1R1

nothing

nothing

nothing

Upper R 2R2

nothing

nothing

nothing

(Round to two decimal places as needed.)

c. Calculate the chi-square test statistic.

chi squared2equals=nothing

(Round to two decimal places as needed.)

d. Determine the p-value. Using

alphaequals=0.025

state your conclusions.

p-valueequals=nothing

(Round to three decimal places as needed.)

Column Variable

Row Variable

Upper C 1C1

Upper C 2C2

Upper C 3C3

Upper R 1R1

9

7

11

Upper R 2R2

12

9

6

Explanation / Answer

from above :

b)

c) applying chi square test:

chi-square test statistic. =2.15

d)

degree of freedom =(row-1)*(column-1) =(2-1)*(3-1) =2

for 2 df and above test statistic p value =0.341

for p value is greater then 0.025 level; can not reejct null hypothesis

Expected E=rowtotal*column total/grand total C1 C2 C3 Total R1 10.50 8.00 8.50 27 R2 10.50 8.00 8.50 27 Total 21 16 17 54

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