Contingency Tables

Read this section, which discusses contingency tables, and answer the questions at the end of the section. While this section is optional, studying it may help you if you wish to take the Saylor Direct Credit exam for this course.


Question 1 out of 4.

A student is interested in whether there is a relationship between gender and major at her college. She randomly sampled some men and women on campus and asked them if their major was part of the natural sciences (NS), social sciences (SS), or humanities (H). Her results appear in the table below. What would be the expected frequency of women in social sciences based on this table?


Question 2 out of 4.
Conduct a Chi Square test to determine if there is a relationship between gender and major. What Chi Square value do you get?


Question 3 out of 4.

Although this is not our view, some people think that the correction for continuity should be used when you have a contingency table with

  • only 4 cells total.
  • an expected cell frequency that is below 5.
  • some cells that are a lot larger than other cells.

Question 4 out of 4.
Suppose an experimenter asked a group of 60 participants whether they could be scared by a movie. Then the experimenter had the participants watch a scary movie. After the movie, the experimenter again asked them if they could be scared by a movie. The experimenter's data appear in the table below. Can this experimenter use the Chi Square test to see whether watching the scary movie made more people say that they could be scared by movies?

  • Yes
  • No