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Goodness-of-Fit and Chi-Squared Tests

Goodness-of-Fit and Chi-Squared Tests

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers Chapter 12 of a math 200 class, focusing on the chi-squared distribution and its applications. It explains the goodness-of-fit test, chi-squared test for independence, and test for homogeneity of proportions, providing examples and using StatCrunch for calculations. The tutorial emphasizes the importance of understanding expected counts, degrees of freedom, and p-values in hypothesis testing.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key characteristic of the chi-squared distribution?

It is used for small sample sizes.

It is always negative.

It is symmetric.

It depends on the degrees of freedom.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of a goodness-of-fit test?

To analyze variance within a group.

To test for correlation between variables.

To determine if a frequency distribution follows a specific distribution.

To compare two means.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example of caregiving grandparents, what was the expected count for grandparents caring for less than one year?

176

239

228

252

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in conducting a goodness-of-fit test?

Verify the requirements.

Determine the null and alternative hypotheses.

Decide on a level of significance.

Calculate the test statistic.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can StatCrunch be used in a goodness-of-fit test?

To calculate the mean.

To perform the test and find the p-value.

To determine the sample size.

To analyze variance.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the chi-squared test for independence determine?

If there is a significant difference between two variances.

If two variables are associated.

If a sample mean is different from a population mean.

If a distribution is normal.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example involving gender and response, what was the chi-squared test statistic?

36.82

24.7

12.5

6.605

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