A study was recently done in the United States in which car owners were asked to indicate whether their most recent car purchase was a U.S.car,a German car,or a Japanese car.The people in the survey were divided by geographic region in the United States.The following data were recorded.
Given this situation,to test whether the car origin is independent of the geographical location of the buyer,the expected number of people in the sample who bought a German made car and who lived on the East Coast is just under 40 people.

Question

A study was recently done in the United States in which car owners were asked to indicate whether their most recent car purchase was a U.S.car,a German car,or a Japanese car.The people in the survey were divided by geographic region in the United States.The following data were recorded.
  Given this situation,to test whether the car origin is independent of the geographical location of the buyer,the expected number of people in the sample who bought a German made car and who lived on the East Coast is just under 40 people.

Quizplus · Accepted Answer

Since the total number of people who bought German cars is 246 and the percentage of people who bought German cars and lived on the East Coast is 16%, the expected number of people who bought German cars and lived on the East Coast can be calculated as:

Expected number of people = Total number of people who bought German cars x Percentage of people who bought German cars and lived on the East Coast
Expected number of people = 246 x 0.16
Expected number of people = 39.36 (rounded to just under 40)

Therefore, the statement is true.

A Study Was Recently Done in the United States in Which