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 22 74 Female: 15: 62 25 www. (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 is related to gender vs. Ha: Degree is not related to gender O 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 O 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.) Male Female PhD Masters Undergraduate 17.42 **************..………………... 64.22 (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 = 2 + (e) Using the statistical table, the p-value is 0.01
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 22 74 Female: 15: 62 25 www. (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 is related to gender vs. Ha: Degree is not related to gender O 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 O 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.) Male Female PhD Masters Undergraduate 17.42 **************..………………... 64.22 (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 = 2 + (e) Using the statistical table, the p-value is 0.01
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image 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
22
74
62
------+---+-
Male 18
+---+
Female; 15: 25
--------
(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 is related to gender vs. Ha: Degree is not related to gender
O 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
O 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.)
þ‒‒‒‒‒‒
Male
Female
PhD Masters Undergraduate;
‒‒‒‒‒‒‒
17.42
------------
þ-----------
Check
64.22
(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 = 2
(e) Using the statistical table, the p-value is 0.01 < p-value < 0.025 +
(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 insufficient evidence to conclude degree and gender are independent.
O There is sufficient evidence to conclude degree and gender are dependent.
O There is sufficient evidence to conclude the proportion of females is not the same for each degree.
There is insufficient evidence to conclude degree and gender are dependent.
There is sufficient evidence to conclude degree and gender are independent.
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