Question

In: Statistics and Probability

Questions 1.In a chi-squarer test, the sample data are called observed frequencies. TRUE FALSE 2. One...

Questions

1.In a chi-squarer test, the sample data are called observed frequencies.

TRUE

FALSE

2. One advantage of chi-square tests is that they can be used when the data are measured on a nominal scale.

TRUE

FALSE

3.The chi- squarer distribution is

a.Positively skewed ,with no values less than zero

b. Negatively skewed, with no values greater than zero

c. Symmetrical centered at a value determined by the degrees of freedom

d. Symmetrical, centered at a value of zero

4. A researcher obtained a value of -8.00 for a chi-square statistic. What can you conclude?

a. The observed frequencies are larger than the expected frequencies

b. The researcher made a mistake. The value of chi –square cannot be negative

c. The expected frequencies are larger than the observed frequencies

d. There are large differences between the observed and expected frequencies.

5. A chi-square test for independence is used to evaluate the relationship between two variables. If one variable is classified into 4 categories and the other variable is classified into 3 categories, the the chi-square statistic will have how many degrees of freedom

a. 8

b. 6

c. 4

d.2

e. Cannot determine degree of freedom from the information given

6. The sample data for chi- square test of independence are called

a. Observed proportions

b.Observed frequencies

c.Expected proportions

d.Expected frequencies

e. None of the above

7. In the chi-square test for independence, the null hypothesis states that

a. There is no relationship between the two variables being examined

b. There is no linear relationship between the two variables being examined

c.There is no difference between the two variables being examined

d. There is a relationship between the two variables being examined

e. Thre is a linear relationship between the two variables being examined

8. By what other name is a chi-square contigency table analysis known?

a. Directional chi-square test

b. Paired samples chi-square test

c. Chi- square test for independence

d. One –sample chi-square test

e.Two-sample chi-square test

9. The chi-square test for independence assesses which of the following?

a.It assesses whether there is a relationship between the population and the sample

b. It assesses whether there is a significant difference between data taken at time 1 and data taken at time 2

c. It assesses whether there is a relationship between two categorical variables.

d. It assesses whether there is a significant difference between two categorical variables

e. It assesses whether there is a linear relationship between two categorical variables

Solutions

Expert Solution

1.In a chi-squarer test, the sample data are called observed frequencies.

TRUE

2. One advantage of chi-square tests is that they can be used when the data are measured on a nominal scale.

TRUE

Because we only need the frequencies ( counts) of each category.

3.The chi- squarer distribution is

a.Positively skewed ,with no values less than zero

4. A researcher obtained a value of -8.00 for a chi-square statistic. What can you conclude?

b. The researcher made a mistake. The value of chi –square cannot be negative

Because the range of chi- square variable is from 0 to infinity.

5. A chi-square test for independence is used to evaluate the relationship between two variables. If one variable is classified into 4 categories and the other variable is classified into 3 categories, the the chi-square statistic will have how many degrees of freedom

df = ( # of rows - 1) * ( # of columns -1 ) = ( 4- 1)*( 3 - 1) = 3 * 2 = 6

So correct choice is as  b. 6

6. The sample data for chi- square test of independence are called

e. None of the above

7. In the chi-square test for independence, the null hypothesis states that

a. There is no relationship between the two variables being examined

8. By what other name is a chi-square contigency table analysis known?

c. Chi- square test for independence

9. The chi-square test for independence assesses which of the following?

c. It assesses whether there is a relationship between two categorical variables.


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