Week 8 Test
Return to Assessment List
Part 1 of 4 - Chi Square Test for Homogeneity 8.0/ 8.0 Points
Question 1 of 20
1.0/ 1.0 Points
Click to see additional instructions
A Driver’s Ed program is curious if the time of year has an impact on number of car accidents in
the U.S. They assume that weather may have a significant impact on the ability of drivers to
control their vehicles. They take a random sample of 150 car accidents and record the season
each occurred in. They found that 27 occurred in the Spring, 39 in the Summer, 31 in the Fall,
and 53 in the Winter.
Can it be concluded at the 0.05 level of significance that car accidents are not equally distributed
throughout the year?
Enter the -value - round to 4 decimal places. Make sure you put a 0 in front of the decimal.p
p-value= 0.0145
Answer Key:0.0145
Feedback:
Spring Summer Fall Winter
Observed
Counts 27 39 31 53
Expected
Counts
150*.25 =
37.5
150*.25 =
37.5
150*.25 =
37.5
150*.25=
37.5
You can use Excel to find the p-value
=CHISQ.TEST(Highlight Observed, Highlight Expected)
Question 2 of 20
1.0/ 1.0 Points
Click to see additional instructions
A color code personality test categorizes people into four colors – Red (Power), Blue (Intimacy),
Green (Peace), and Yellow (Fun). In general, 25% of people are Red, 35% Blue, 20% Green, and
20% Yellow. An art class of 45 students is tested at a university and 7 are found to be Red,
18 Blue, 9 Green, and 11 Yellow. Can it be concluded that personality type has an impact on
students’ areas of interest and talents, such as artistic students? Test at a 0.05 level of
significance.
Enter the observed and expected counts for each category in the table below. Do Not Round.
Red Blue Green Yellow
Observed Counts 7 18 9 11
Expected Counts 11.25 15.75 9 9
