Total of 203 adults selected at random were cross-classified according to their gender (male; female) and their political affiliation (Democrat; Neutral; Republican). The table below features the results.
|
Democrat |
Neutral |
Republican |
R total |
Female |
54 |
15 |
36 |
|
Male |
40 |
13 |
45 |
|
C total |
|
|
|
203 |
Calculate the marginal counts (row and column totals) in the table. Then, conduct a test to determine whether gender and political affiliation are independent at the significance level of 0.1.
(a) State the null and alternative hypotheses.
H0: Gender and political affiliation select are are not independent.
Ha: Gender and political affiliation select are are not independent.
(b) Calculate the expected counts. (Carry 3 decimal digits.)
|
Democrat |
Neutral |
Republican |
Female |
|
|
|
Male |
|
|
|
(c) Calculate the test statistic.