Assignment: Chi-Square Worksheet
Part 1: Interpret Chi-Square Results
Review the following output from a chi-square test, and answer the questions below.
Chi-Square TestFrequencies:
Preference
|
Observed N
|
Expected N
|
Residual
|
Nuts& Grits
|
9
|
20.0
|
-11.0
|
Bacon Surprise
|
27
|
20.0
|
7.0
|
Dimples
|
16
|
20.0
|
-4.0
|
Froggy
|
17
|
20.0
|
-3.0
|
Chocolate Delight
|
31
|
20.0
|
11.0
|
Total
|
100
|
|
|
Test Statistics
|
Preference
|
Chi-Square
|
15.800a
|
df
|
4
|
Asymp. Sig.
|
.003
|
a 0 cells (0.0%) have expected frequencies less than 5. The minimum expected cell frequency is 20.0.
Answer the following questions about this chi-square output in one to two sentences each:
1. How many categories are listed for analysis?
2. What is the expected N size?
3. What is the chi-square value?
4. How many degrees of freedom are there?
5. What it the test statistic and what does it tell you about the probability?
Part 2: Conduct a Chi-Square Test
Imagine you are the manager of a non-profit business, and you are looking to hire a recent college graduate. You list the position as paying $20,000/year. After interviewing candidates you decide that some will be offered the expected salary, while some will be offered more because of experience and interviewing skills. Others will be offered less than expected until they can demonstrate competence and their salary will increase when they are fully qualified.
Using Microsoft Excel, run a chi square Goodness of Fit test to determine whether these observedstarting salaries are significantly different. What do the findings tell you?
Write a 75- to 100-word summary to describe your results.
Paste your Microsoft Excel output below your summary.
|
Expected Salaries
|
Observed Salaries
|
Applicant 1
|
$20,000
|
$17,500
|
Applicant 2
|
$20,000
|
$20,000
|
Applicant 3
|
$20,000
|
$22,000
|
Applicant 4
|
$20,000
|
$20,500
|
Applicant 5
|
$20,000
|
$20,000
|
Format your assignment according to the following formatting requirements:
1. The answer should be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides.
2. The response also includes a cover page containing the title of the assignment, the student's name, the course title, and the date. The cover page is not included in the required page length.
3. Also include a reference page. The Citations and references should follow APA format. The reference page is not included in the required page length.