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

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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 9 14 13 B 9 13 8 C 15 8 5

a. Using a = 0.025, perform a chi-square test to determine if the type of medal and the country that earned it are independent of one another.

Identify the null and alternative hypotheses for a chi-square test of independence
based on the information in the table. Choose the correct answer below.

A. Ho: Type of medal and country that earned it are independent of one another.
H1: Type of medal and country that earned it are not independent of one another.
B. Ho: Type of medal and country that earned it are not independent of one another.
H1: Type of medal and country that earned it are independent of one another.
C. Ho: Type of medal and country that earned it are independent of one another.
H1: The country that earns the medal affects the type of medal.
D. Ho: Type of medal and country that earned it are independent of one another.
H1: The type of medal affects the country that earned it.

Find the chi-square test statistic.
x2 = _ (Round to two decimal places as needed.)
Using alpha = 0.025, find the chi-square critical value, x2