SOLUTION: Hello, can someone please check my work and help me understand c,d,e? I am not sure if I am doing this correctly. Chi-Square test of independence Diploma-- No Diploma-- Tota

Question 1048492: Hello, can someone please check my work and help me understand c,d,e? I am not sure if I am doing this correctly.
Chi-Square test of independence
Diploma-- No Diploma-- Total
Male: 56-- 32-- 88
Female: 62-- 41-- 103
Total: 118-- 73-- 191
a.Have the assumptions for this test been met? Why or why not?
Yes, because Yes E ≥ 5
b.State the null and alternative hypotheses for this test.
H0 : There is not a relationship between gender and whether or not someone is a college graduate (they are independent).
Ha: There is a relationship between gender and whether or not someone is a college graduate (they are dependent).
c. Calculate the test statistic for this test. Explain what is the test statistic represents.
The test statistic is 0.2381
d. What is the p-value? Explain what this p-value represents
The p-value is .625559
e. What is the conclusion for this test at the 0.05 level of significance. Are these variables dependent/associated? Why or why not?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Diploma-- No Diploma-- Total
Male: 56-- 32-- 88
Female: 62-- 41-- 103
Total: 118-- 73-- 191
c.Apply Chi-square test for Independence
(using the chi-square test for independence to determine whether gender is related to getting a diploma)
E1,1 = (88 * 118) / 191 = 54.4, E1,2 = (88 * 73) / 191 = 33.6
E2,1 = (103 * 118) / 191 = 63.6, E2,2 = (103 * 73) / 191 = 39.4
X^2 = (56- 54.4)^2/54.4 + (32- 33.6)^2/33.6 + + (62 -63.6)^2/63.6 + (41 - 39.4)^2/39.4
x^2 = .2282 = .23
d. p-value is used to access the probability of X^2 having 1 degree of freedom is more extreme than .23
DF is (r - 1) * (c - 1) = (2 - 1) * (2 - 1) = 1 (two rows, 2 columns)
P(X^2 > .23) = 1 - .37 = .63
e. 0.05 level of significance
.63 > .05, accept Ho
whether or not someone is a college graduate is not related to gender(they are independent).

a. Yes, random sampling, categorical variables and expected frequency counts > 5
|
b.
Ho : There is not a relationship between gender and whether or not someone is a college graduate (they are independent).
Ha: There is a relationship between gender and whether or not someone is a college graduate (they are dependent).

RELATED QUESTIONS
Could someone please check these, I am not sure if I understood them correctly. I should (answered by Alan3354)

Could someone please check these, I am not sure if I understood them correctly. I should (answered by Alan3354)

Can someone please check my work and help me understand c,d,e? I figured out the answers... (answered by ewatrrr)

Here is my question: 6 - sqrt of 20 -------------- = ????? 2 I came up... (answered by ptaylor)

I am not exactly sure how to solve this. Can someone help me understand how to work this (answered by Fombitz)

Can someone please help me solve this? I am not sure if I did this right. This is a... (answered by stanbon)

Factor by grouping. 61. 3c-c^2+3d-cd My solution. Please help i'm not sure if i am... (answered by checkley77)

I wasn't sure where to put this because my text is Inequalities, Permutations, and... (answered by CharStar,Levski123)

This is my first time submitting anything, so bare with me and let me no if I am doing... (answered by jim_thompson5910)