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 24 79 Female 13 27 63 (a) In performing this statistical test, state the hypotheses. H0: Degree and gender are independent vs. HA: Degree and gender are dependent H0: 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 H0: Degree and gender are dependent vs. HA: Degree and gender are independent H0: Degree is related to gender vs. HA: Degree is not related to gender H0: Degree is associated with gender vs. HA: Degree is not associated with 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 17.35 27.65 77 Female 14.65 23.35 65.0 (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS = 1.66 (d) The test statistic follows a . These are the following answers I can choose from t-distribution with df =2 t-distribution with df =6 chi-square distribution with df = 223 chi-square distribution with df = 2 chi-square distribution with df = 6 (e) Using the statistical table, the p-value is . These are the answers I can choose from 0.05 < p-value <0.10 p-value > 0.10 0.01 < p-value < 0.025 0 < p-value < 0.005 0.005 < p-value < 0.01 0.025 < p-value < 0.05 (f) Based on the p-value, those conducting the test should (fail to reject or reject?) the null hypothesis at the significance level of 0.025.
Olivia attends school at the University of Alberta and decides to compile a
| PhD | Masters | Undergraduate | |
|---|---|---|---|
| Male | 19 | 24 | 79 |
| Female | 13 | 27 | 63 |
(a) In performing this statistical test, state the hypotheses.
(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 | 17.35 | 27.65 | 77 |
| Female | 14.65 | 23.35 | 65.0 |
(c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.)
TS = 1.66
(d) The test statistic follows a . These are the following answers I can choose from
t-distribution with df =2
t-distribution with df =6
chi-square distribution with df = 223
chi-square distribution with df = 2
chi-square distribution with df = 6
(e) Using the statistical table, the p-value is . These are the answers I can choose from
0.05 < p-value <0.10
p-value > 0.10
0.01 < p-value < 0.025
0 < p-value < 0.005
0.005 < p-value < 0.01
0.025 < p-value < 0.05
(f) Based on the p-value, those conducting the test should (fail to reject or reject?) the null hypothesis at the significance level of 0.025.
I have provided answers to the pervious parts above these last three that I need help with, Thank you!
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