CourseCourseConceptConceptDocsDocuments

AP Statistics 3.8 A Identify Type I and Type Ii Errors Questions

Identify Type I and Type II errors by comparing the decision about the null hypothesis with the true state of the population.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • identify Type I as rejecting a true null and Type II as failing to reject a false null hypothesis
  • determine the possible error from the decision: Type I after rejection or Type II after nonrejection
  • interpret power as the probability of correctly rejecting a false null for a specified true parameter
  • recognise that many simultaneous tests can produce false positives by chance even when all nulls are true

AP Statistics 3.8 A Identify Type I and Type Ii Errors Questions question 1

According to a 2017 national survey in Country B, the mean number of bedrooms in newly built houses was 2.9. Rodney, a researcher, believes the mean number of bedrooms in newly built houses in the country was different in 2024 than it was in 2017. To investigate his belief, he took a large random sample of newly built houses in Country B in 2024 and recorded the number of bedrooms in each house. The distribution of the number of bedrooms for the sampled houses is summarized in the table.

Distribution of the Number of Bedrooms for the Houses Sampled in 2024

Table for Question AP Statistics 3.8 A Identify Type I and Type Ii Errors Questions question 1 — AP Statistics

Rodney will use a one-sample t-test for a population mean to test his belief.

Explain, in context, what a Type I error would be for Rodney's hypothesis test.

All question bank results loaded