In: Statistics and Probability
I am curious if there is a preference for Star Wars, Battlestar Galactica, Doctor Who, or Firefly among students at Pierce College. I ask 300 students to choose which they prefer. Below are the results. Conduct a χ² square to determine if there is a preference. Use an alpha (Type 1 error rate) = .05.
Star Wars |
Battlestar Galactica |
Doctor Who |
Firefly |
I only watch Sitcoms and Reality TV |
73 |
77 |
67 |
59 |
24 |
a. What are the null hypothesis and alternative hypotheses?
b. Create a table for expected scores.
c. Compute χ² and report both the critical value and whether the p-value is greater or less than alpha.
d. Based on these data, should you reject the null hypothesis? Why or why not?
e. Based on your results, what would you conclude about the research question? Use every day, non-technical language.