Statistics and probability
Explore hypothesis testing, assess statistical significance, and interpret p-values to make informed conclusions from data in this engaging introduction to significance tests in mathematics.
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VIDEOS
Simple hypothesis testing
Khan Academy
•6th - 10th Grade
•10 Qs
Idea behind hypothesis testing
Khan Academy
•9th - 12th Grade
•10 Qs
Comparing P-values to different significance levels
Khan Academy
•10th - 12th Grade
•10 Qs
P-values and significance tests
Khan Academy
•10th - 12th Grade
•10 Qs
Estimating a P-value from a simulation
Khan Academy
•9th - 12th Grade
•10 Qs
Examples of null and alternative hypotheses
Khan Academy
•9th - 12th Grade
•10 Qs
VIDEOS
Type 1 errors
Khan Academy
•10th - 12th Grade
•10 Qs
Introduction to Type I and Type II errors
Khan Academy
•10th - 12th Grade
•10 Qs
Introduction to power in significance tests
Khan Academy
•10th - 13th Grade
•10 Qs
Examples identifying Type I and Type II errors
Khan Academy
•9th - 12th Grade
•10 Qs
Examples thinking about power in significance tests
Khan Academy
•10th - 12th Grade
•10 Qs
VIDEOS
Constructing hypotheses for a significance test about a proportion
Khan Academy
•9th - 12th Grade
•10 Qs
Calculating a z statistic in a test about a proportion
Khan Academy
•10th - 12th Grade
•10 Qs
Calculating a P-value given a z statistic
Khan Academy
•9th - 12th Grade
•10 Qs
Conditions for a z test about a proportion
Khan Academy
•10th - 12th Grade
•10 Qs
Making conclusions in a test about a proportion
Khan Academy
•10th - 12th Grade
•10 Qs
VIDEOS
Writing hypotheses for a significance test about a mean
Khan Academy
•9th - 12th Grade
•10 Qs
Conditions for a t test about a mean
Khan Academy
•9th - 12th Grade
•10 Qs
When to use z or t statistics in significance tests
Khan Academy
•10th - 12th Grade
•10 Qs
Example calculating t statistic for a test about a mean
Khan Academy
•10th - 12th Grade
•10 Qs
Using TI calculator for P-value from t statistic
Khan Academy
•10th - 12th Grade
•10 Qs
Using a table to estimate P-value from t statistic
Khan Academy
•10th - 12th Grade
•10 Qs
Comparing P-value from t statistic to significance level
Khan Academy
•10th - 12th Grade
•10 Qs
Free response example: Significance test for a mean
Khan Academy
•11th - 13th Grade
•10 Qs
VIDEOS
Hypothesis testing and p-values
Khan Academy
•10th - 12th Grade
•10 Qs
One-tailed and two-tailed tests
Khan Academy
•10th - 13th Grade
•10 Qs
Small sample hypothesis test
Khan Academy
•10th - 12th Grade
•10 Qs
Z-statistics vs. T-statistics
Khan Academy
•10th - 13th Grade
•10 Qs
Large sample proportion hypothesis testing
Khan Academy
•9th - 12th Grade
•10 Qs