Problem table:
https://i.stack.imgur.com/3MmFX.jpg
From that I am asked to:
1b. Create a correctly percentaged table.
Am stuck on how to do this part.
2b. Test the idea that attitudes about discrimination are independent of race. List the five hypothesis testing steps for this problem (α=0.05). Be certain to provide a substantive interpretation of the results. Calculate chi-square using the 2X2 method.
I think I have this but not sure if the solutions are right:
Ho: The variables attitudes about discrimination and respondents race are independent of each other.
Ha: The variables attitudes about discrimination and respondents race are NOT independent of each other.
a = 0.05
df = 1
X^2_critical = 3.841
X^2_achieved = (1133(301*96-100*636)^2) / ( (301+636)(100+96)(301+100)(636+100) ) = 25.175...
Now I could say since achieved is greater than critical, we can reject the null hypothesis.
3b. Calculate and interpret Yule’s Q and the strength of the relationship.
Not sure if this is correct:
YULE'S Q = (100*636 - 301*96) / (100*636 + 301*96) = 0.99...
By Yule's Q there is a very strong relationship.
4b. Calculate and interpret the: 1) odds of black respondents believing that discrimination is the cause of inequality
301 to 636
2) odds of white respondents believing that discrimination is the cause of inequality
100 to 96
3) the odds ratio of black to white.
196 to 937
Are these correct?
Please help
Thank you