Question

For each problem, select the best response.

(a) In the chi-square test for two-way tables, what does the alternative hypothesis say?
A. There is a relationship and it is one-sided.
B. There is no difference among the parameters we are comparing.
C. the probability the null hypothesis is true.
D. There is a relationship, but it does not specify which kind of relationship and allows any kind of difference.
E. There is a relationship and it is always two-sided.
(b) In the chi-square test for two-way tables, what does the null hypothesis claim?
A. The two categorical variable are dependent.
B. There is no association (no relationship) between the two categorical variables on the population level.
C. There is no association (no relationship) between the two categorical variables on the sample level.
D. All of these options are correct.
(c) The chi-square distributions are a family of distributions that take on only positive values and are skewed to the right.
A. False
B. True.

Answer 1

The alternative hypothesis in a chi-square test for two-way tables suggests there is some kind of relationship without specifying its nature. The null hypothesis asserts no association at the population level. The statement regarding chi-square distributions being skewed to the right and taking on only positive values is true.

Step-by-step explanation:

For each problem, select the best response.

(a) In the chi-square test for two-way tables, the alternative hypothesis usually says D. There is a relationship, but it does not specify which kind of relationship and allows any kind of difference.

(b) In the chi-square test for two-way tables, the null hypothesis claims B. There is no association (no relationship) between the two categorical variables on the population level.

(c) The chi-square distributions are a family of distributions that take on only positive values and are skewed to the right. This statement is B. True.