AP Statistics 3.8: Type I and Type II Errors
Identify Type I and Type II errors by comparing the decision about the null hypothesis with the true state of the population.
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- Effective Fall 2025
- Course
- AP Statistics
3.8.A—Identify Type I and Type II errors 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
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.
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