Chi squared test

Goodness of Fit

A company claims its customer satisfaction ratings are distributed as 50% "Satisfied," 30% "Neutral," and 20% "Unsatisfied." A survey of 200 customers yields different results. Which test would you use to check if the observed distribution matches the claim

Independence

Is there a relationship between exercise frequency (daily, weekly, rarely) and age group (teenager, adult, senior)? Data is collected and organized in a contingency table.

Goodness of Fit

A bag of Skittles claims each color appears in equal proportions. You open a bag, count the colors, and want to test the company's claim.

Homogeneity

A researcher investigates whether three political parties have the same distribution of preferences for certain policies. Participants from each party respond to a survey. Which test would you us

Independence

A sociologist explores whether there's an association between gender (male/female) and preference for a type of film (action, romance, comedy)

Goodness of Fit

A dice manufacturer wants to verify that their dice are fair, meaning each side has an equal chance of landing face up. Which test fits

Homogeneity

A study looks at whether students from urban, suburban, and rural schools have the same distribution of extracurricular activities. Which test would you use?

Independenc

A survey examines whether political affiliation (Republican, Democrat, Independent) is associated with opinion on a new tax law (support/oppose)

Goodness of Fit

A coffee shop claims their drinks are ordered in the following proportions: 40% coffee, 30% tea, and 30% other beverages. A sample of orders is analyzed to see if it matches this claim. Which test is thi

Homogeneity

Researchers analyze whether different departments in a company (Sales, HR, IT) have the same distribution of remote vs. on-site work preferences.

Independence

Professor investigates whether performance on a test (pass/fail) is related to study methods (group study, individual study). Which test would you use

Goodness of Fit

A zoo claims that the colors of a bird species in its enclosure are distributed as 25% red, 50% green, and 25% blue. Observed counts are collected to test the claim. Which test fits?

Homogeneity

A researcher examines whether three cities have the same distribution of preferred modes of transportation (car, bike, public transit).

Independence

A store manager tests whether there's an association between customer age groups (teen, adult, senior) and favorite product categories (electronics, clothing, groceries)