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OnRamps Chi Square Test for Independence A

Total questions: 18

Worksheet time: 11mins

Name
Class
Date
1.
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
2.

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

a)

(row total)(column total)/table total

b)

Number of categories minus 1

c)

row total minus 1

d)

column total minus 1

3.

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

a)

Expected, 5

b)

Observed, 5

c)

Expected, 10

d)

Observed, 10

4.

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

a)

10.5

b)

11

c)

14.5

d)

6.3

5.

How do we determine the degrees of freedom for a chi square test with two variables (homogeneity or independence)?

a)

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

b)

Number of columns minus 1

c)

Number of Rows minus 1

d)

Table total minus 1

6.

Find the degrees of freedom.

a)

4

b)

5

c)

6

d)

7

7.

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

a)

6

b)

2

c)

5

d)

36

8.

An individual wants to run a chi-squared goodness of fit test to determine how students in three different education settings (lecture, group work, individual online work) performed on an exam in terms of pass/fail. How many degrees of freedom would you require for this Goodness of Fit test?

a)

2

b)

1

c)

3

d)

5

9.

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 X2 test?

a)

10

b)

4

c)

8

d)

Impossible to tell from the information given

10.

Which significance level (column) do you look at when finding the critical value?

a)
.50
b)
.10
c)
.05
d)
.01
11.
How do you find critical value?
a)
where degrees of freedom lines up with significance level
b)
where significance level lines up with chi-square
c)
the difference between total and chi-square 
d)
degrees of freedom minus significance level
12.

In the formula for Chi Sqare, the O stands for

a)

the sum

b)

the observed frequency

c)

The expected frequency

d)

the p value

13.

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

14.

: The chi-square statistic is similar to all other test statistics we have discussed  in that it compares observed values to values that would be expected if Ho were true. 

a)
True
b)
False
15.

A chi-squared distribution only has ________ values.

a)

Positive

b)

Negative

c)

Even

d)

Decimal

16.

The shape of the Chi-Square distribution is ___.

a)

Left Skewed

b)

Right Skewed

c)

Unimodal & Symmetric

d)

Bimodal & Symmetric

17.
The bigger the chi square statistic, the ________ the p value.
a)
bigger
b)
smaller
18.

What makes the skewness of a chi-squared distribution less pronounced?

a)

Larger degrees of freedom

b)

Larger sample size

c)

Smaller confidence level

d)

Larger population