ou are interested in whether there is any association between gender and academic major. Questioning 75 students, you obtain the following results: Observed Frequencies Major Female Male Total Business 10 12 22 Science 9 11 20 Liberal Arts 9 10 19 Other 7 7 14 Total 35 40 75 State your null and alternative hypotheses. How many degrees of freedom are involved? Calculate expected frequencies for each cell, and insert the values in the table provided below. Expected Frequencies Major Female Male Total Business     22 Science     20 Liberal Arts     19 Other     14 Total 35 40 75 Calculate the square of Observed Frequency (fo) minus Expected Frequency (fe). Then divide by Expected Frequency (fe). (fo – fe)2 / fe Major Female Male Total Business     22 Science     20 Liberal Arts     19 Other     14 Total 35 40 75 What is the calculated value of ? Assuming the .05 level of significance, do you reject, or fail to reject, the null hypothesis?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

You are interested in whether there is any association between gender and academic major. Questioning 75 students, you obtain the following results:

Observed Frequencies

Major

Female

Male

Total

Business

10

12

22

Science

9

11

20

Liberal Arts

9

10

19

Other

7

7

14

Total

35

40

75

State your null and alternative hypotheses.

How many degrees of freedom are involved?

Calculate expected frequencies for each cell, and insert the values in the table provided below.

Expected Frequencies

Major

Female

Male

Total

Business

 

 

22

Science

 

 

20

Liberal Arts

 

 

19

Other

 

 

14

Total

35

40

75

Calculate the square of Observed Frequency (fo) minus Expected Frequency (fe). Then divide by Expected Frequency (fe).

(fo – fe)2 / fe

Major

Female

Male

Total

Business

 

 

22

Science

 

 

20

Liberal Arts

 

 

19

Other

 

 

14

Total

35

40

75

What is the calculated value of ?

Assuming the .05 level of significance, do you reject, or fail to reject, the null hypothesis?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Chi-squared Tests
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman