PSY230_Bienemann
Spring 2024
M7 Assignment (30 Points)
*Unlike prior assignments, you will NOT be submitting a Word document and Excel file. Instead, you will need
to work through this assignment and provide your answers in the M7 Assignment (Special Quiz Format) quiz.
I recommend filling out your answers on this sheet before taking the quiz and keeping it on hand for reference.
You will have 2 attempts at the quiz, so if you get marked incorrect on an answer, you can go back through
your work and try to correct any errors before taking the quiz the second time.
Assignment Direction:
Complete the Guided Practice Problem first, if you have not done so. It will help you become proficient in
answering the questions in this assignment.
Q1) Chi-Square Test for Goodness of Fit (7 points)
Two employees at an ice cream store were discussing the popularity of four of the ice cream flavors
they have: Vanilla, Chocolate, Mint, and Strawberry. Employee A thought that the four flavors are
equally popular, but employee B didn’t think so. To settle their debate, they decided to tally the
number of customers asking for those flavors for a whole day.
There were 44 customers that day:

5 asked for vanilla

15 asked for chocolate

14 asked for Mint

10 asked for strawberry
Conduct a Chi-Square Test for Goodness of Fit to answer the research question of whether the four
flavors are equally popular, using  = .05 as the significance level.
a. What is the variable in this test? What type of variable is it (nominal, ordinal, or continuous)? (1 point)
b. State the null and alternative hypotheses in words. (1 point)
c. Calculate X2 statistic. (2 points)
d. Calculate the degree of freedom and then identify the critical value. (1 point)
e. Compare the X2 statistic with the critical value, then report the hypothesis test result, using “reject” or
“fail to reject” the null hypothesis in the answer. (1 point)
f. Explain the conclusion in a sentence or two, to answer the research question. (1 point)
Q2) Chi-Square Test for Goodness of Fit (7 points)
A high school physics teacher wondered if his students in the senior class this year will be more likely
to go into STEM (Science, Technology, Engineering, Mathematics) majors than Social Science and
Liberal Arts majors. He asked each of his 72 students about their first choice for major on their college
applications and conducted a Chi-square test for goodness of fit with an alpha level of .05 to see if the
All course content and materials, including this assignment and all other items published within the Canvas course shell, are copyrighted materials and students may not share outside the class, upload to online websites
not approved by the instructor, sell, or distribute course content or notes taken during the conduct of the course (see ACD 304–06, “Commercial Note Taking Services” and ABOR Policy 5-308 F.14 for more information).
Students must refrain from uploading to any course shell, discussion board, or website used by the course instructor or other course forum, material that is not the student’s original work, unless the students first
comply with all applicable copyright laws; faculty members reserve the right to delete materials on the grounds of suspected copyright infringement.
PSY230_Bienemann
Spring 2024
number of students choosing each category differs significantly.
 20 – STEM
 18 – Social Sciences
 34 – Liberal Arts
a. What is the variable in this test? What type of variable is it (nominal, ordinal, or continuous)? (1 point)
b. State the null and alternative hypotheses in words. (1 point)
c. Calculate X2 statistic. (2 points)
d. Calculate the degree of freedom and then identify the critical value. (1 point)
e. Compare the X2 statistic with the critical value, then report the hypothesis test result, using “reject” or
“fail to reject” the null hypothesis in the answer. (1 point)
f. Explain the conclusion in a sentence or two, to answer the research question. (1 point)
Q3) Chi-Square Test for Independence (8 points)
This question is an extension from Q2 above. The high school teacher was also interested in whether
there is a gender difference in terms of the student’s choice of majors. So, he broke down the data
for his first period class with 50 students by gender in the following table and conducted a Chi-square
test for independence with  = .05.
Type of Major
STEM
Female
8
Male
12
Total
20
Social Sciences
10
10
20
Liberal Arts
8
2
10
a. What are the variables in this analysis? What scale of measurement is each variable (nominal, ordinal,
or continuous)? (2 points)
b. State the null and alternative hypotheses in words. (1 point total)
c. Calculate X2 statistic. (2 points)
d. Calculate the degree of freedom and then identify the critical value. (1 point
e. Compare the X2 statistic with the critical value, then report the hypothesis test result, using “reject” or
“fail to reject” the null hypothesis in the answer. (1 point)
f. Explain the conclusion in a sentence or two, to answer the research question. (1 point)
All course content and materials, including this assignment and all other items published within the Canvas course shell, are copyrighted materials and students may not share outside the class, upload to online websites
not approved by the instructor, sell, or distribute course content or notes taken during the conduct of the course (see ACD 304–06, “Commercial Note Taking Services” and ABOR Policy 5-308 F.14 for more information).
Students must refrain from uploading to any course shell, discussion board, or website used by the course instructor or other course forum, material that is not the student’s original work, unless the students first
comply with all applicable copyright laws; faculty members reserve the right to delete materials on the grounds of suspected copyright infringement.
PSY230_Bienemann
Spring 2024
Q4) Chi-Square Test for Independence (8 points)
A market researcher conducted a study to see if different age groups prefer different news sources. He
surveyed 80 people in the 25-49 age group and 80 people in the 50+ age group and asked them if they
prefer to get their news from TV, online, radio, or printed newspapers. The data are listed in the table
below. Conduct a Chi-Square test for Independence with α = .01.
News source
TV
Online
Group 18-49
20
40
Group 50+
30
20
Total count
50
60
Radio
Printed papers
15
5
15
15
30
20
a. What are the variables in this analysis? What scale of measurement is each variable (nominal, ordinal,
or continuous)? (2 points)
b. State the null and alternative hypotheses in words. (1 point)
c. Calculate X2 statistic. (2 points)
d. Calculate the degree of freedom and then identify the critical value. (1 point)
e. Compare the X2 statistic with the critical value. Then report the hypothesis test result, using “reject”
or “fail to reject” the null hypothesis in the answer. (1 point)
f. Explain the conclusion in a sentence or two, to answer the research question. (1 point)
All course content and materials, including this assignment and all other items published within the Canvas course shell, are copyrighted materials and students may not share outside the class, upload to online websites
not approved by the instructor, sell, or distribute course content or notes taken during the conduct of the course (see ACD 304–06, “Commercial Note Taking Services” and ABOR Policy 5-308 F.14 for more information).
Students must refrain from uploading to any course shell, discussion board, or website used by the course instructor or other course forum, material that is not the student’s original work, unless the students first
comply with all applicable copyright laws; faculty members reserve the right to delete materials on the grounds of suspected copyright infringement.