Inference for Categorical Data: Proportions unit test

A test on this unit alone, marked as a percentage and a letter grade — for the test your class is actually sitting, rather than for May. Answer everything, then submit once: seeing the answer to question 3 before attempting question 4 makes the final percentage meaningless.

Paper 1 Paper 2 Paper 3

Each paper is built from this unit’s 59 terms and is the same for everyone, so a teacher can assign “Unit 3, Paper 3” and every student sits the identical test. Multiple choice is marked objectively; the written sections you mark yourself against the model answer and rubric.

Suggested time 32 min 29 points0/17 attempted

Follow-up after a significant chi-square

Point estimate

Confidence interval structure

Stating chi-square hypotheses

Pooled proportion

A two-proportion interval containing zero

Structure of every test statistic

Expected count formula

Goodness-of-fit test

Interpreting a confidence interval

Test for independence

Why expected counts, not observed

Short answer 1. Define or explain: The four-step template

3 pts

Short answer 2. Define or explain: Effect size and power

3 pts

Short answer 3. Define or explain: Chi-square distribution shape

3 pts

Short answer 4. Define or explain: Statistical versus practical significance

3 pts

Free response

5 pts

A city council wants to know whether support for a proposed transit levy differs between two neighborhoods. In an independent random sample of 400 residents of Neighborhood A, 210 said they support the levy. In an independent random sample of 350 residents of Neighborhood B, 168 said they support the levy.

A. State the appropriate hypotheses for a test of whether the proportions of supporters differ in the two neighborhoods.

B. Verify that the conditions for the test are met.

C. Calculate the value of the test statistic and the p-value.

D. At the α = 0.05 level, state your conclusion in the context of the study.