Mathematics · Grade 10
Tests of Statistical Claims
Learners test claims with data. They state hypotheses, see the logic of a significance test through simulation, carry out a one-proportion z test, interpret P-values and significance levels, weigh Type I and Type II errors and power, meet the one-sample t test and randomization tests for two groups, and distinguish statistical significance from practical importance.
- 4 lessons
- About 150 minutes
- Tests of claims check: 11 questions
- Ways to answer: choose an answer, match pairs, type a number, put in order, true or false and write a short answer
What learners will discover
- State null and alternative hypotheses and explain the logic of a significance test, including through simulation.
- Carry out a one-proportion z test: conditions, test statistic, P-value and conclusion in context.
- Interpret P-values and significance levels, and describe Type I and Type II errors and power.
- Interpret a one-sample t test and a two-group randomization test, and distinguish statistical from practical significance.
Lessons
-
The logic of a significance test 5 steps3 practiceabout 34 min
-
The one-proportion z test 5 steps3 practiceabout 38 min
-
P-values, errors and power 5 steps4 practiceabout 38 min
-
Means, randomization tests and practical significance 5 steps2 practiceabout 40 min
-
Tests of claims check 11 questions at the end
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