You want to know if there\'s an association between college students\' spring br

Question

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:

A. Set up your null and alternative hypotheses. (2 points)

B. What are your degrees of freedom? (2 points)

C. Using your TI­83, compute the expected values for each cell. (2 points)

D. Will a chi­square hypothesis test of independence be valid in this situation? Explain. (2 points)

E. What are your test statistic (X 2 ) and P­value? (2 points)

F. What can you conclude if a = .01? (2 points)

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

Explanation / Answer

a) H0: There is no association between college students' spring break destinations and what year they're in

b) H1: There's an association between college students' spring break destinations and what year they're in

c) The expected frequencies are calculated as follows

e)

Test statistic chi-square = 27.3627 and P value = 0.0012

d)

Here P value < alpha (0.01), we reject H0. Thus we conclude that there is association between college students' spring break destinations and what year they're in

Amusement Parks Mexico Home Other Total Freshman 29.06667 28.53333 25.86667 24.53333 108 Sophomore 26.10617 25.62716 23.2321 22.03457 97 Junior 27.99012 27.47654 24.90864 23.62469 104 Senior 25.83704 25.36296 22.99259 21.80741 96 Total: 109 107 97 92 405

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.