Inferential Statistics Online Exercise No. 1
Suppose you have conducted an employee survey to find out how best to communicate with them. You have two primary groups with which you are concerned: members of the Baby Boomer Generation and members of the Millennial Generation. In the survey you ask respondents how they would prefer to receive work-related information. You ask them to choose from among three modes of communication. The communication modes are Print (newsletters, etc); Social Media; and Face-to-Face Communication. The survey includes interviews from 50 Baby Boomers and 50 Millennials.
Among the Baby Boomers 10 said they prefer Print; 15 said they prefer Social Media; 25 said they prefer Face-to-Face Communication.
Among the Millennials 5 preferred Print; 35 preferred Social Media; 10 preferred Face-to-Face Communication.
Conduct a Chi-Square Analysis to determine if there is a difference between the two generations in terms of how they prefer to receive work-related information. Specifically, answer to following five questions:
1. How many degrees of freedom does your Chi-Square table have?
2. What are the three expected values for Baby Boomers, and what are the three expected values for the Millennials?
3. What is the total Chi-Square value for your analysis?
4. Is your Chi-Square analysis statistically significant, and what is the critical value?
5. What recommendation(s) would you make about how to best communicate with the two generations? Refer to your Chi-Square analysis in this answer.
The critical values in item No. 4 above refer to the thresholds we covered in class. If you recall, we said different tables have different degrees of freedom, and each of the degrees of freedom has a threshold (or “critical value”) that must be met or exceeded in order to conclude that there is a relationship between the variables you are studying. Below is a short table of degrees of freedom and the threshold for each:
Degrees of Freedom Threshold
1 3.84
2 5.99
3 7.81
4 9.48
5 11.07
