You want to know if there's an association between college students' spring break destinations and what year they're in. You take a random sample of 405 college students and record the following data:
Amusement Parks Mexico Home Other
Freshman 23 21 43 21
Sophomore 34 23 14 26
Junior 25 30 23 26
Senior 27 33 17 19
A. Set up your null and alternative hypothesis.
B. What are your degrees of freedom?
C. Using your T-83, compute the expected values for each cell.
D. Will a chisquare hypothesis test of independence be valid in this situation? Explain.
E. What are your test statistic (X^2) and P-value?
F. What can you conclude if alpha(a) = .01?