Free Printable Chi Squared Goodness of Fit

Worksheets

Chi Squared Goodness of Fit

Total questions: 15

Worksheet time: 9mins

Name

Class

Date

How many degrees of freedom will be present?

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

bigger

smaller

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

1/6

What statistical model does this graph illustrate?

normal model

t model

chi square model

The table shows the number or babies born on each day of the week. Is there evidence that births are more likely on specific days of the week?

yes, the p value is greater than .05

no evidence, the p value is less than .05

yes, the p value is less than .05

no evidence, the p value is greater than .05

What must be true about the expected values in a chi square test?

greater than or equal to 2

greater than or equal to 5

greater than or equal to 10

greater than or equal to 30

In a chi square goodness of fit test, you must have

counts for two categorical variables

proportions for one categorical variable

counts for one categorical variable

proportions for two categorical variables

A chi-square test is used to test whether a 0 to 9 spinner is "fair" (that is, the outcomes are all equally likely). The spinner is spun 100 times, and the results are recorded. The degrees of freedom for the test will be

The shape of the Chi-Square distribution is ___.

Left Skewed

Right Skewed

Unimodal & Symmetric

Bimodal & Symmetric

10.

How do you find degrees of freedom for a chi-square goodness of fit test?

one less than the sample size

one less than the population

total number divided 2

total number times 2

11.

Aw, nuts! A company claims that each batch of its deluxe mixed nuts contains 52% cashews, 27% almonds, 13% macadamia nuts, and 8% brazil nuts. To test this claim, a quality-control inspector takes a random sample of 150 nuts from the latest batch. The one-way table below displays the sample data. What is the appropriate null hypothesis

U1-U2=U3=U4

Mixed nut proportions are proportioned the same as they claim

At least one of the four types in the population is different than expect

the observed counts are equally distributed

12.

Python eggs How is the hatching of water python eggs influenced by the temperature of the snake’s nest? Researchers randomly assigned newly laid eggs to one of three water temperatures: hot, neutral, or cold. Hot duplicates the extra warmth provided by the mother python, and cold duplicates the absence of the mother. Here are the data on the number of eggs that hatched and didn’t hatch.

If the p-value is .08 and you use .05 as your alpha, what is your conclusion

Fail to reject: We do not have sufficient evidence that distribution of hatched is different for water temperature options

Reject: We do not have sufficient evidence that distribution of hatched is different for water temperature options

Fail to reject: We do have sufficient evidence that distribution of hatched is different for water temperature options

13.

The manager of a high school cafeteria is planning to offer several new types of food for student lunches in the following school year. She wants to know if each type of food will be equally popular so she can start ordering supplies making other plans. To find out, she selects a random sample of 100 students and asks them, "Which type of food do you prefer: Asian food, Mexican food, pizza, or hamburgers?" Here are the data in the table provided. The P-value for a chi-square test for goodness of fit is 0.0129. Which is the following is the most appropriate conclusion?

Because 0.0129 is less than α = 0.05, reject H₀. There is convincing evidence that the food choices are equally popular.

Because 0.0129 is less than α = 0.05, reject H₀. There is not convincing evidence that the food choices are equally popular.

Because 0.0129 is less than α = 0.05, reject H₀. There is convincing evidence that the food choices are not equally popular.

Because 0.0129 is less than α = 0.05, fail to reject H₀. There is convincing evidence that the food choices are equally popular.

14.

Which of the following is false?

A chi-squared distribution with k degrees of freedom is more right-skewed than a chi-square distribution with k+1 degrees of freedom.

A chi-square distribution never takes negative values.

The degrees of freedom for chi-square test is determined by sample size.

The area under a chi-square density curve is always equal to 1.

15.

If a chi-squared number is 5.29 with a df of 6, what is the p-value?

.38

.49

.51

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Chi Squared Goodness of Fit

Total questions: 15

Worksheet time: 9mins

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