A random sample of 406 undergraduate students at the University of Iowa was taken. The students in the sample were classified according to the college in which they were enrolled and according to their gender. The results are recorded in the following table.                                                         College         Gender   Business   Engineering   Liberal Arts   Nursing    Pharmacy   Totals   Male    21   16   145   5   6     Female   14   5   175   13   6    Totals                   Ho: The college in which the student enrolls is independent of the gender of that student.  Ha: They are not independent of each other.   2nd   x-1   NAMES  MATH    EDIT   [1] [A]      enter      MATRIX [A]   2 x 5        [ ]         Stat tests     ?2−????   ?2 − ????  Observed:[A]   Expected:[B]   Color   Calculate              ?2 − ????            Conclusion

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: A random sample of 406 undergraduate students at the University of Iowa was taken. The students in the sample were classified according to the college in which they were enrolled and according to their gender. The results are recorded in the following table.  

  

                                                   College  

 

 

 

Gender  

Business  

Engineering  

Liberal Arts  

Nursing   

Pharmacy  

Totals  

Male   

21  

16  

145  

5  

6  

 

Female  

14  

5  

175  

13  

 

Totals   

 

 

 

 

 

 

  

Ho: The college in which the student enrolls is independent of the gender of that student.  Ha: They are not independent of each other.  

2nd   x-1  

NAMES  MATH    EDIT  

[1] [A]  

  

enter  

   MATRIX [A]   2 x 5  

  

  [ ]  

 

   

Stat tests     ?2−????  

?2 − ???? 

Observed:[A]  

Expected:[B]  

Color  

Calculate  

           ?2 − ????  

  

  

 

 Conclusion  

 

Chi-Squared Test Of Independence
Example 7: A random sample of 406 undergraduate students at the University of lowa was
taken. The students in the sample were classified according to the college in which they were
enrolled and according to their gender. The results are recorded in the following table.
College
Gender
Business
Engineering Liberal Arts Nursing
Pharmacy
Totals
Male
21
16
145
6.
Female
14
5
175
13
6
Totals
Ho: The college in which the student enrolls is independent of the gender of that student.
Ha: They are not independent of each other.
2nd X-1
MATRIX [A] 2 X 5
2- Test
2 - Test
NAMES MATH
EDIT
Observed:[A]
[1] [A]
[
Expected:[B]
Color
enter
Calculate
Stat tests x2-Test
Conclusion
Transcribed Image Text:Chi-Squared Test Of Independence Example 7: A random sample of 406 undergraduate students at the University of lowa was taken. The students in the sample were classified according to the college in which they were enrolled and according to their gender. The results are recorded in the following table. College Gender Business Engineering Liberal Arts Nursing Pharmacy Totals Male 21 16 145 6. Female 14 5 175 13 6 Totals Ho: The college in which the student enrolls is independent of the gender of that student. Ha: They are not independent of each other. 2nd X-1 MATRIX [A] 2 X 5 2- Test 2 - Test NAMES MATH EDIT Observed:[A] [1] [A] [ Expected:[B] Color enter Calculate Stat tests x2-Test Conclusion
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