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
19
Other
7
14
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
Calculate the square of Observed Frequency (fo) minus Expected Frequency (fe). Then divide by Expected Frequency (fe).
(fo– fe)2/ fe
What is the calculated value of ?
Assuming the .05 level of significance, do you reject, or fail to reject, the null hypothesis?
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