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...

Extracted text: 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 : 19: 21 75 Female 13 25 (a) In performing this statistical test, state the hypotheses. O Họ: Degree and gender are dependent vs. Ha: Degree and gender are independent O Họ: Degree is associated with gender vs. Ha: Degree is not associated with gender O Họ: 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 Họ: Degree is related to gender vs. Ha: Degree is not related to gender O Họ: 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 16.88 Female 66.15 (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 df = 6 (e) Using the statistical table, the p-value is 0 < p-value="">< 0.005 (f) based on the p-value, those conducting the test should fail to reject + the null hypothesis at the significance level of 0.01. (g) what is the appropriate conclusion? o there is sufficient evidence to conclude degree and gender are independent. o there is sufficient evidence to conclude the proportion of females is not the same for each degree. o there is insufficient evidence to conclude degree and gender are independent. o there is insufficient evidence to conclude degree and gender are dependent. o there is sufficient evidence to conclude degree and gender are dependent. 0.005="" (f)="" based="" on="" the="" p-value,="" those="" conducting="" the="" test="" should="" fail="" to="" reject="" +="" the="" null="" hypothesis="" at="" the="" significance="" level="" of="" 0.01.="" (g)="" what="" is="" the="" appropriate="" conclusion?="" o="" there="" is="" sufficient="" evidence="" to="" conclude="" degree="" and="" gender="" are="" independent.="" o="" there="" is="" sufficient="" evidence="" to="" conclude="" the="" proportion="" of="" females="" is="" not="" the="" same="" for="" each="" degree.="" o="" there="" is="" insufficient="" evidence="" to="" conclude="" degree="" and="" gender="" are="" independent.="" o="" there="" is="" insufficient="" evidence="" to="" conclude="" degree="" and="" gender="" are="" dependent.="" o="" there="" is="" sufficient="" evidence="" to="" conclude="" degree="" and="" gender="" are="">