Question

A random sample of 95 vehicles is taken from a large parking lot at an office park. Below is the type of each vehicle, and whether it is owned or leased by the driver. A chi-square test will be conducted to determine if there is an association between type of vehicle and method of obtaining the vehicle. Which of the following expressions represents the expected count of leased SUVs?

(A) 10
(B) \frac{10}{95}9510​
(C) \frac{(35)(30)}{95}95(35)(30)​
(D) \frac{(10-11.1)^2}{11.1}11.1(10−11.1)2​
(E) \frac{(11.1-10)^2}{10}10(11.1−10)2​

Answer 1

(C) \frac {(35)(30)}{95}95(35)(30)

Explanation:

The expected count for two way table is represented with the formula:

\frac (row total) (column total) {Table total} Table total (row total) (column total)

The chi square test is used to determine the association between the different types of vehicles. The expected count for the SUV's is represented by the formula given in the option C.