Unit 8 Lesson 3 Calculator Commands Chi Squared

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Drag and Drop

χ² is ​ ​

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and p-value is ​

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Drag these tiles and drop them in the correct blank above

9.719

0.0211

0.9789

7.917

0.05

0.0001

3.1415

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Drag and Drop

The chi square statistic is ​

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and the p-value is​ ​

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Drag these tiles and drop them in the correct blank above

9.365

0.0093

0.0021

0.01

9.737

7.935

0.0211

0.0097

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Match

Match the following

• χ²

• p

• df

14.404

0.072

8

• 14.404

• 0.072

• 8

Multiple Choice

A student wants to test the hypothesis that favorite car color is independent of gender. He shows people pictures of the same car in 5 different colors, and records their preference. How many degrees of freedom will there be in his $$\chi^2$$  test

• 10

• 4

• 8

• Impossible to tell from the information given

Multiple Choice

What is the

χ² _calculated value for the following situation.

• 6.65

• 6.66

• 0.00991

• 1

Multiple Select

Chi-squared tests are invalid if:

(choose all that apply)

• The calculated number is really large

• One of the expected values is less than 5

• One of the observed values is less than 5

• The degrees of freedom = 1

Multiple Choice

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 H₀ is true, the expected number of Hispanic drivers who would receive a ticket is

• 10.4

• 11

• 11.8

• 12

Multiple Choice

The shape of the Chi-Square distribution is ___.

• Left Skewed

• Right Skewed

• Unimodal & Symmetric

• Bimodal & Symmetric

Multiple Choice

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

• 8
• 9
• 10
• 99

Multiple Choice

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

Multiple Choice

Mrs. Hock asks her class what their favorite ice cream flavor is. She wonders if the flavors are equally represented. The table shows the observed values. What should be the H₀ and the H_A?

• H₀: The distribution of flavors is approximately normal.

  H_A: The distribution of flavors is not approximately normal.

• H₀: The distribution of flavors is equal.

  H_A: The distribution of flavors is not equal.

• H₀: The distribution of flavors is homogenous.

  H_A: The distribution of flavors is not homogenous.

• H₀: The distribution of flavors is independent.

  H_A: The distribution of flavors is not independent.

Multiple Choice

Mrs. Hock asks her class what their favorite ice cream flavor is. She wonders if the flavors are equally represented. The table shows the observed values. What is the Chi Square statistic?

• 4.4

• 0.221

• 3

• 3.2