A survey was recently conducted in which males and females were asked whether they owned a laptop personal computer.The following data were observed:
Given this information,if having a laptop is independent of gender,the expected number of males with laptops in this survey is 150.

Question

A survey was recently conducted in which males and females were asked whether they owned a laptop personal computer.The following data were observed:
  Given this information,if having a laptop is independent of gender,the expected number of males with laptops in this survey is 150.

Quizplus · Accepted Answer

To determine if having a laptop is independent of gender, we need to calculate the expected number of males with laptops based on the overall probability of owning a laptop and the proportion of males in the sample. The overall probability of owning a laptop is (350+450)/(1000) = 0.8, and the proportion of males is 500/1000 = 0.5. Therefore, the expected number of males with laptops is 0.8 x 0.5 x 1000 = 400. Therefore, the statement that the expected number of males with laptops is 150 is false.

A Survey Was Recently Conducted in Which Males and Females