Chi-Square Test Frequencies

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 Test Frequencies:

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 observed starting 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