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chi square test for independence

Total questions: 10

Worksheet time: 21mins

Name
Class
Date
1.
Find the degrees of freedom.
a)
4
b)
5
c)
6
d)
7
2.
What must be true about the expected values in a chi square test?
a)
greater than or equal to 2
b)
greater than or equal to 5
c)
greater than or equal to 10
d)
greater than or equal to 30
3.
Which test would you use to see if gender is a factor choosing a person’s favorite fruit?  900 college students were surveyed and their favorite fruit recorded.
a)
Chi-square Goodness of Fit Test
b)
Chi-Square Test for Homogeneity
c)
Chi-Square Test for Independence/Association
d)
Not a Chi-square test
4.
What are the expected counts of a female who likes Pepsi?
a)
10.5
b)
11
c)
14.5
d)
6.3
5.
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
a)
10.36
b)
11
c)
11.84
d)
12
6.

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

a)

6

b)

2

c)

5

d)

36

7.
Is nationality related to favorite drink?  300 people were observed.
a)
Chi-square Goodness of Fit Test
b)
Chi-Square Test for Homogeneity
c)
Chi-Square Test for Independence/Association
d)
Not a Chi-square test
8.
What is the null hypothesis?
a)
Injury type is independent of position played
b)
Injury type is dependent on the position played independent
9.

In the formula for Chi Sqare, the E stands for

a)

the sum

b)

the observed frequency

c)

The expected frequency

d)

the p value

10.
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 expected counts for spinning a 5 will be
a)
5
b)
10
c)
11.1
d)
20