e) You want to perform a test to find out if there is a relationship between a g

Question

e) You want to perform a test to find out if there is a relationship between a grad student’s gender and the

student’s residency. State the null and alternative hypotheses of such a test.

f) Create a table of expected counts.

g) Create a table of partial ??2 values.

h) What is the value of the ??2 statistic? What are its degrees of freedom?

i) Using a significance level of 0.05, state the conclusion of the Chi-Square test in the context of this

problem. State your reasoning behind your conclusion.

MALE 1077 2172 FEMALE 1792-1077-715 1514 TOTAL 1792 3686 INDIANA RESIDENTS OUT OF STATE RESIDENTS 2364 4148 INTERNATIONAL STUDENTS 1784 TOTAL 9626-4013-7 715+1514+1784 4013 9626 5613

Explanation / Answer

Ans:

Test statistic:

Chi square=5.91

df=(3-1)*(2-1)=2

p-value=CHIDIST(5.91,2)=0.0522

As,p-value>0.5,we fail to reject null hypothesis,there is no significant relationship between

a grad student’s gender and the student’s residency.

Observed count(fo) Male Female Total INDIANA 1077 715 1792 OUT OF STATE 2172 1514 3686 International 2364 1784 4148 Total 5613 4013 9626 Expected count(fe) Male Female Total INDIANA 1044.93 747.07 1792 OUT OF STATE 2149.34 1536.66 3686 International 2418.73 1729.27 4148 Total 5613 4013 9626 Chi square=(fo-fe)^2/fe Male Female Total INDIANA 0.98 1.38 2.36 OUT OF STATE 0.24 0.33 0.57 International 1.24 1.73 2.97 Total 2.46 3.44 5.91

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

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