Q22

Olivia attends school at the University of Alberta and decides to compile a contingency table of students who are taking various degrees. She surveys a group of students, and the data she collects is listed in the contingency table below. Olivia want to see if degree and gender are dependent variables. PhD Masters Undergraduate! :Male | 18 ; 20 70 Female; 11 30 67 (a) In performing this statistical test, state the hypotheses. Ho: The proportion of female students is the same as the proportion of male students vs. Ha: The proportion of female students is not the same as the proportion of male students Ho: Degree is related to gender vs. Ha: Degree is not related to gender Ho: Degree is associated with gender vs. Ha: Degree is not associated with gender O Ho: Degree and gender are dependent vs. Ha: Degree and gender are independent Ho: Degree and gender are independent vs. Ha: Degree and gender are dependent (b) What is the expected frequencies of each cell? Fill out the table. (Round your answers to 2 decimal places, if needed.) PhD : Masters !Undergraduate :Male 14.5 P - - --- :Female 68.5 (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS = (d) The test statistic follows a t-distribution with of = 2 (e) Using the statistical table, the p-value is |0