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

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