A sample of 500 Drivers was asked whether or not they speed while driving. The following tabel gives a two-way classification:
|
Speed |
NeverSpeed |
Row Totals |
| Male |
222 |
78 |
300 |
| Female |
128 |
72 |
200 |
| Column Totals |
350 |
150 |
500 |
We wish to test whether gender and speeding are related at the 1% significance level.
a. State the Null and Alternative Hypotheses for this test.
b. Find the critical value for this test.
c. Calculate the test statistic
d. Should we reject or fail to reject the null hypothesis?
e. Based on your answers to a-d, are gender and speeding likely to be independent?