The table to the right shows the medal count for three countries following an in

Question

The table to the right shows the medal count for three countries following an international athletic event.

Complete parts a. through c. below.

Medal

Country

Gold

Silver

Bronze

A

8

14

13

B

9

13

7

C

15

8

5

a. Using

alpha?equals=0.01?,

perform a? chi-square test to determine if the type of medal and the country that earned it are independent of one another.

Find the? chi-square test statistic.

The table to the right shows the medal count for three countries following an international athletic event.

Complete parts a. through c. below.

Medal

Country

Gold

Silver

Bronze

A

8

14

13

B

9

13

7

C

15

8

5

Explanation / Answer

Ans:

Test statistic:

Chi square score=7.709

df=(3-1)*(3-1)=4

p-value=CHIDIST(7.709,4)=0.1028

critical chi square value=CHIINV(0.01,4)=13.277

As,p-value>0.01,we do not reject null hypothesis and we can conclude that type of medal and the country that earned it are independent of one another.

Observed(fo) Gold Silver Bronze Total A 8 14 13 35 B 9 13 7 29 C 15 8 5 28 Total= 32 35 25 92 Expected(fe) Gold Silver Bronze Total A 12.17 13.32 9.51 35 B 10.09 11.03 7.88 29 C 9.74 10.65 7.61 28 Total= 32 35 25 92 Chi square=(fo-fe)^2/fe Gold Silver Bronze Total A 1.431 0.035 1.280 2.746 B 0.117 0.351 0.098 0.566 C 2.842 0.660 0.894 4.397 Total= 4.390 1.046 2.273 7.709

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