Use the information provided below to answer questions

A marketing research firm sampled 200 sports fans to analyze the relationship between different age groups and the fan's favorite sport. Four different ages groups and five different sports were included in the sample. If the marketing research firm decides to conduct a chi-square test, which of the following choices could be the null and alternative hypotheses?

a. H₀: Age Groups are independent of each other; H₁: Favorite Sport is dependent on each other.

b. H₀: Favorite Sport depends upon the Age Group; H₁: Age Group depends upon the Favorite Sport.

c. H₀: Favorite Sport and Age Group are independent; H₁: Favorite Sport and Age Group are dependent.

d. H₀: Favorite Sport and Age Group are dependent; H₁: Favorite Sport and Age Group are independent.

Referencing the previous question, what would be the correct degrees of freedom (d.f.) for the chi-square test conducted by the marketing research firm?

Formula: d.f. = (# rows - 1)(# columns - 1)

a. seven

b. nine

c. twenty

d. twelve

Referencing the information provided in the previous two questions (#27 & #28), what would be the correct table chi-square statistic (critical value) at a significance level is 10%?

a. 18.549

b. 12.017

c. 14.684

d. 28.412

For a chi-square test, which of the following statements is correct?

a. When an analyst accepts the null hypothesis, they are concluding that the cross-classified variables are not related to each other.

b. Accept H₀if the table chi-square value is less than or equal to the computed chi-square value.

c. When an analyst accepts the null hypothesis, they are concluding that the cross-classified variables are related to each other.

d. Accept H₀if the computed chi-square value is greater than or equal to the table chi-square value.