Question 22 Tries remaining: 1 Marked out of 10.00 Flag question 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 25 75 Female: 13 : 29 60 (a) In performing this statistical test, state the hypotheses. O 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 O Ho: Degree and gender are dependent vs. Ha: Degree and gender are independent O Ho: Degree is associated with gender vs. Ha: Degree is not associated with gender O Ho: Degree and gender are independent vs. Ha: Degree and gender are dependent O Ho: Degree is related to gender vs. Ha: Degree is not related to gender (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 17.84 Female 62.03 (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 chi-square distribution with of = 6{cl} The test statistic follows a chisquare distribution with df : 6 (e) Using the statistical table, the p-value is 0.01 a: pvalue v. 0.025 {f} Based on the p-value, those conducting the test should fail to reject the null hvpothesis at the significance level of 0.025. {g} What is the appropriate conclusion? 0 There is insufficient evidence to conclude degree and gender are dependent. Q There is sufficient evidence to conclude degree and gender are dependent. 0 There is sufficient evidence to conclude the proportion of females is not the same for each degree. Q There is insufficient evidEnce to conclude degree and gender are independent. 0 There is sufficient evidence to conclude degree and gender are independent. Check