Use the Chi-square (X^2) method.
X^2 = ∑ (O-E)^2/E, where O = observed frequency and E = expected frequency.
∑ = sum of all the cells.
E = (column total * row total)/grand total
df = n - 1, where n = number of cells
Look up value in X^2 table in the back of your textbook.
a sample of 500 drivers was asked whether or not they speed while driving. The following table gives a two-way classification:
speed Never Speed totals
male 222 78 300
female 128 72 200
totals 350 150 500
We wish to test whether gender and speeding are related at the 1% significant level.
a. state the null and alternative hypothesis 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?
1 answer