Unit 8: Inference for Categorical Data: Chi-Square

A candy company claims its bags contain equal proportions of 5 colors: red, blue, green, yellow, orange (each 20%). A statistics student buys a large bag and counts: \nTotal: 200 candies.

A university surveys 400 randomly selected students about their class year and preferred study location:

Three hospitals compared patient satisfaction ratings (Satisfied, Neutral, Dissatisfied). Random samples of recently discharged patients were surveyed:

A researcher studies whether blood type is associated with susceptibility to a rare disease. She collects data from 80 patients:

In genetics, a dihybrid cross is expected to produce offspring in a 9:3:3:1 phenotype ratio. A biologist crosses two heterozygous pea plants and observes the following offspring: \nTotal: 556 offspring.

A poll asked 600 adults whether they support, oppose, or are neutral on a proposed policy. Responses were categorized by political affiliation:

Benford's Law states that the leading digit [math] in many real-world data sets follows the distribution [math]. An auditor examines 743 expense reports and records the leading digit of each amount:

A school district tested three reading programs across six elementary schools. Each school was randomly assigned one program. After one year, students were classified as "proficient" or "not proficient":

A casino suspects a die may be loaded. They roll it 300 times and record:

A health researcher investigates whether exercise frequency is associated with stress level among college students. She surveys 500 randomly selected students: