WorksheetsChi-Square!!
Total questions: 13
Worksheet time: 31mins
Name
Class
Date
1.
If the p-value is less than α, we reject H0
a)
True
b)
False
2.
A hypothesis test is performed and
p-value = 0.02. Which is the best conclusion?
p-value = 0.02. Which is the best conclusion?
a)
H0 is rejected at α = 0.01.
b)
H0 is rejected at α = 0.05.
c)
Ha is rejected at α = 0.01.
d)
Ha is rejected at α = 0.05.
3.
Which of the following is the FIRST step of a hypothesis test?
a)
Check assumptions & conditions
b)
Find your test statistic
c)
State your conclusion
d)
State your null & alternative hypotheses
4.
Observed in the wild are 10 circles, 20 squares and 30 triangles. The ratio for this particular population is 2:3:5
observed: 10 circles expected: 12
observed 20 squares expected : 18
observed 30 triangles expected: 30
What is the degrees of freedom?
observed: 10 circles expected: 12
observed 20 squares expected : 18
observed 30 triangles expected: 30
What is the degrees of freedom?
a)
1
b)
2
c)
3
d)
4
5.
What are the degrees of freedom for the following χ² test?
a)
6
b)
2
c)
5
d)
36
6.
What are the degrees of freedom?
a)
3
b)
2
c)
1
d)
9.488
7.
The purpose of randomization is to reduce
a)
blinding
b)
bias
c)
confounding
d)
variability
8.
What are the expected counts of a female who likes Pepsi?
a)
10.5
b)
11
c)
14.5
d)
6.3
9.
What is the expected value for all cells, if we assume that this is a fair six sided die?
a)
96
b)
16
c)
8
d)
1/6
10.
Here is a two-way table of counts. The expected counts are in red. The data are based on an SRS with two categorical variables. Is it safe to use the chi-square test with critical values from the chi-square distribution?
50 51.35 36 31.65 12 14.99
16 18.34 13 11.31 6 5.36
54 50.30 25 31.01 17 14.69
50 51.35 36 31.65 12 14.99
16 18.34 13 11.31 6 5.36
54 50.30 25 31.01 17 14.69
a)
Yes because all of the observed counts are 5 or greater
b)
b)Yes because all of the expected counts are 5 or greater.
c)
c)No because the expected counts are not whole numbers.
d)
d)Yes because the sum of observed counts = sum of expected.
11.
Using a computer program, the chi-square test statistic for the commuter data is c2 = 5.37 with P-value < 0.01. If we use a = 0.05, what conclusion is appropriate?
a)
a)Don’t reject H0; the results are significant.
b)
b)Don’t reject H0; the results are not significant.
c)
c)Reject H0; the results are significant.
d)
d)Reject H0; the results are not significant.
12.
What are the expected counts of a male who likes Coke?
a)
14.5
b)
11
c)
14.5
d)
6.3
13.
The bigger the chi square statistic, the ________ the p value.
a)
bigger
b)
smaller
100 %
