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. _____________________________________________ I I F+------------I I EFemaleE 155 30 ; 68 E (a) In performing this statistical test' state the hypotheses. O Ho: Degree is associated with gender vs. Ha: Degree is not associated with gender 0 Ho: Degree and gender are independent vs. Ha: Degree and gender are dependent 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 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.) ____________________________________________________ ____________________________________________________ (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) (d) The test statistic follows a chisquare distribution with df = 6 c 0 (e) Using the statistical table, the p-value is pvalue > 0.10 (f) Based on the p-value, those conducting the test should fail to reject the null hypothesis at the significance level of 0.05. (9) What is the appropriate conclusion? 0 There is sufficient evidence to conclude degree and gender are dependent. Q There is insufficient evidence to conclude degree and gender are independent. 0 There is insufficient evidence to conclude degree and gender are dependent. C) There is sufficient evidence to conclude degree and gender are independent. 0 There is sufficient evidence to conclude the proportion of females is not the same for each degree. Check