Test Stat =
You will need to use all 16 Count values but I am only showing you the first and last value because there

isn't room to write out the entire equation.
Question 12 of 20
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A high school runs a survey asking students if they participate in sports. The results are
found below. Run an independence test for the data at
α=0.01
.
Freshmen
Sophomores
Juniors
Seniors
Yes
75
88
55
42
No
30
28
38
40
Enter the test statistic - round to 4 decimal places.
16.2406
Answer Key:16.2406
Feedback:
We are running a Chi-Square Test for Independence. Copy and Paste the table into Excel. You are given
the Observed Counts in the table. Next you need to sum the rows and columns. Once you have those
you need to calculate the Expected Counts. You need to find the probability of the row and then multiple it
by the column total.
Freshmen
Sophomores
Juniors
Yes
75
88
55
No
30
28
38
Sum
105
116
Freshmen
Sophomores
Juniors
Yes
=105*(260/396)
=116*(260/396)
=93*(260/396)
No
=105*(136/396)
=116*(136/396)
=93*(136/396)
Now that we calculated the Expected Counts we need to find the Test Statistic.
Test Stat =
You will need to all 8 Count values but I am only showing you 3 because there isn't room to write out the
entire equation.
Question 13 of 20
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A local gym is looking in to purchasing more exercise equipment and runs a survey to
find out the preference in exercise equipment amongst their members. They categorize
the members based on how frequently they use the gym each month – the results are

below. Run an independence test at the 0.01 level of significance.
Free Weights
Weight
Machines
Endurance
Machines
Aerobics
Equipment
0-10 Uses
12
17
25
13
11-30 Uses
20
18
9
9
31+ Uses
26
12
11
9
Enter the
P
-Value - round to 4 decimal places.
0.0144
Answer Key:0.0144
Feedback:
We are running a Chi-Square Test for Independence. Copy and Paste the table into Excel. You are given
the Observed Counts in the table. Next you need to sum the rows and columns. Once you have those
you need to calculate the Expected Counts. You need to find the probability of the row and then multiple it
by the column total.
Free Weights
Weight Machines
Endurance Machines
0-10 Uses
12
17
25
11-30 Uses
20
18
9
31+ Uses
26
12
11
Sum
58
47
Free Weights
Weight Machines
Endurance Machines
0-10 Uses
=58*(67/181)
=47*(67/181)
=45*(67/181)
11-30 Uses
=58*(56/181)
=47*(56/181)
=45*(56/181)
31+ Uses
=58*(58/181)
=47*(58/181)
=45*(58/181)
Now that we calculated the Expected Count we can use Excel to find the p-value.
Use =CHISQ.TEST(highlight actual counts, highlight expected counts) = 0.0144
Question 14 of 20
1.0/ 1.0 Points
A public opinion poll surveyed a simple random sample of 550 voters in Oregon. The
respondents were asked which political party they identified with most and were
categorized by residence. Results are shown below. Decide if voting preference is
independent from location of residence. Let
α=0.05
.