Louisiana Delta Community College Inferential Statistics Discussion

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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


Describe two scenarios.

The first involves a t-Test.  Describe a public relations problem, situation, or issue that could be studied using a t-Test.  What is the problem, situation, or issue?  What is the group variable?  What is the measurement variable?  How many groups will your t-Test have?  What data levels will your group and measurement variables be?

The first involves ANOVA.  Describe a public relations problem, situation, or issue that could be studied using ANOVA.  What is the problem, situation, or issue?  What is the group variable?  What is the measurement variable?  How many groups will your ANOVA have?  What data levels will your group and measurement variables be?  

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