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...


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?



Jun 04, 2022
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