Does college major depend on gender? Researchers asked a group of college students about their majors. They also group the students by their gender. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 1% significance level is performed.    Arts   Humanities   Sciences   Row Total  Men  15 34 25 74 Women  33 26 24 83 Column Total  48 60 49 157 The null and alternative hypotheses are: H0: The two variables are independent, so gender does affect college major. Ha: The two variables are dependent, so gender does not affect college major. Compute the test statistic, rounded to one decimal place.  Provide your answer below test statistic =

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Does college major depend on gender? Researchers asked a group of college students about their majors. They also group the students by their gender. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 1% significance level is performed.

 

 Arts 

 Humanities 

 Sciences 

 Row Total 

Men 

15

34

25

74

Women 

33

26

24

83

Column Total 

48

60

49

157

The null and alternative hypotheses are:

  • H0: The two variables are independent, so gender does affect college major.
  • Ha: The two variables are dependent, so gender does not affect college major.


Compute the test statistic, rounded to one decimal place. 

Provide your answer below

test statistic =

 
 
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