Question - Time status versus gender for the 20 to 24 age category. The table below breaks down the 20 to 24 age category by gender.
|
Status
|
Gender
|
Total
|
|
Male
|
Female
|
|
Full-time
|
2719
|
2991
|
5710
|
|
Part-time
|
535
|
680
|
1215
|
|
Total
|
3254
|
3671
|
6925
|
(a) Compute the marginal distribution for gender. Display the results graphically.
(b) Compute the conditional distribution of status for males and for females. Display the results graphically and comment on how these distributions differ.
(c) If you wanted to test the null hypothesis that there is no difference between these two conditional distributions, what would the expected cell counts be for the full-time status row of the table?
(d) Computer software gives X2 = 5.17. Using Table F, give an appropriate bound for the P-value and state your conclusions at the 5% level.