Free Printable Practice 8.2 - Chi Squared GOF and Homogeneity

Worksheets

Practice 8.2 - Chi Squared GOF and Homogeneity

Total questions: 16

Worksheet time: 19mins

Name

Class

Date

2. To verify large counts for any chi-squared test, we need to make sure our __________ counts are greater than ______.

Expected, 5

Observed, 5

Expected, 10

Observed, 10

3. A chi-squared distribution only has ________ values.

Positive

Negative

Even

Decimal

7. When running a chi-squared GOF test and obtaining a p-value of 0.02, what would our conclusion be after finishing the test?

Since our p-value is less than 0.05, we reject the Ho. We have convincing evidence that at least two of the proportions in the Ho are incorrect.

Since our p-value is less than 0.05, we accept the alternate hypothesis. We have convincing evidence of the alternate hypothesis.

Since our p-value is less than 0.05, we fail to reject the null hypothesis. We have convincing evidence that the null hypothesis proportions are true.

Since our p value is less than 0.05, we accept the null hypothesis. There is no evidence that anything is different than what is stated in the null.

9. When determining the expected counts from a two way table, which formula should we use?

(row total)(column total)/table total

Number of categories minus 1

row total minus 1

column total minus 1

11. For a chi-squared test for homogeneity in a randomized experiment, which of the following is not necessary as a condition of inference?

Sample size at least 30

Treatments randomly assigned

There are two samples that our data is drawn from.

All expected counts at least 5

12. How do we determine the degrees of freedom for a chi square test with data in a two-way table (homogeneity and independence)?

(number of rows-1)(number of columns-1)

Number of columns minus 1

Number of Rows minus 1

Table total minus 1

15. A school counselor is interested if the preference between In N Out, Whataburger and McDonalds is different between two schools. To do so, she takes a random sample of 200 students from each school and asks their restaurant choice. What type of chi-squared test would be appropriate here?

Chi Squared Test for Homogeneity

Chi Squared Goodness of Fit Test

Chi Squared Test for Independence

Chi Squared Test for Difference of Squares

A random sample of traffic tickets given to motorists in a large city is examined. The tickets are classified according to the race of the driver. The results are summarized in the table provided. Assuming that the conditions for inference are met, the P-value of our test is

Between 0.10 and 0.20.

Between 0.05 and 0.10.

Between 0.01 and 0.05.

Less than 0.01.

Given that a student is male, what is the probability that maths is their favorite?

0.491

0.225

0.443

.508

10.

The chi-square statistics is:

11.

Find the chi-squared test statistic for the table.

0.486170447

1.442392006

1.45

12.

What are the degrees of freedom for the following χ² test?

13.

What is the expected value of a female who likes Pepsi?

10.5

14.5

6.3

14.

The bigger the chi square statistic, the ________ the p value.

bigger

smaller

15.

What is the expected value for all cells, if we assume that this is a fair six sided die?

1/6

16.

What is the conclusion to the chi-squared Goodness of Fit test to determine if the die rolled is a fair die?

The p-value>α, so we reject H_0.There is convincing evidence that the die is not fair.

The p-value>α, so we fail to reject H_0.There is not convincing evidence that the die is unfair

The p-value< α, so we reject H_0.There is convincing evidence that the die is unfair.

The p-value>α, so we fail to reject H_0.There is convincing evidence that the die is fair.

100 %

Practice 8.2 - Chi Squared GOF and Homogeneity

Total questions: 16

Worksheet time: 19mins

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