SOLUTION: A survey of undergraduate students in the school of Businees at Northern University revealed the following regarding the gender and majors of the students:

Question 186745This question is from textbook Statistical Techniques in Business and Economics
: A survey of undergraduate students in the school of Businees at Northern University revealed the following regarding the gender and majors of the students:
Major
Gender Accounting Management Finance Total
Male 100 150 50 300
Female 100 50 50 200
Total 200 200 100 500
What is the probaility of selecting a female student?
What is the probability of selcting a finance or accounting major?
What is the probability of selecting a female or an accounting major? Which rule of addition did u apply?
Are gender and major independent? Why?
What is the probability of selecting an accounting major, given that the person selected is a male?
Suppose two students are selected randomly to attend a lunch with the president of the University. What is the probability that both of these selected are accounting majors? This question is from textbook Statistical Techniques in Business and Economics

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A survey of undergraduate students in the school of Businees at Northern University revealed the following regarding the gender and majors of the students:
Major
Gender Accounting Management Finance Total
Male...... 100...... 150....... 50... 300
Female.... 100....... 50....... 50... 200
Total..... 200...... 200...... 100... 500
=====================================================
What is the probaility of selecting a female student? 200/500 = 2/5
--------------------------
What is the probability of selcting a finance or accounting major?(100+200)/500
= 3/5
--------------------------
What is the probability of selecting a female or an accounting major? Which rule of addition did u apply? : (200+200-100)/500 = 3/5
P(A or B) = P(A)+P(B)-P(A and B)
--------------------------
Are gender and major independent? Why?
---
Comment: You could run a Chi-Sq. test to see if the rows and columns are
independent. But I'm not sure you have studied that yet. If you have.
Ho: row and column factors are independent
Ha: they are dependent
I ran a Chi-Sq test on the 2 x 3 matrix and got the following results:
test statistic: Chi-Sq = 31.25
p-value = 0.0000001637..
df = 2
--
Conclusion: Reject Ho ; Gender and Major are not independent
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What is the probability of selecting an accounting major, given that the person selected is a male? P(acc|male) + [P(acc and male)/P(male) = 1/3
--------------------------
Suppose two students are selected randomly to attend a lunch with the president of the University. What is the probability that both of these selected are accounting majors? 200C2/500C2 = 0.1595
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Cheers,
Stan H.

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