Perplex
Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesMatricesComplex NumbersFinancial Mathematics
Cartesian plane & linesFunction TheoryModellingTransformations & asymptotes
2D & 3D GeometryVoronoi DiagramsTrig equations & identitiesVectorsGraph Theory
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random VariablesInference & Hypotheses
DifferentiationIntegrationDifferential Equations
Review VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
Perplex
Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesMatricesComplex NumbersFinancial Mathematics
Cartesian plane & linesFunction TheoryModellingTransformations & asymptotes
2D & 3D GeometryVoronoi DiagramsTrig equations & identitiesVectorsGraph Theory
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random VariablesInference & Hypotheses
DifferentiationIntegrationDifferential Equations
Review VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
/
Inference & Hypotheses
/
Hypothesis Testing and p-values
χ² tests
Hypothesis Testing and p-values
Inference & Hypotheses

Hypothesis Testing and p-values

0 of 0 exercises completed

Exploring a simplified coin flip example to lay the foundation of null and alternative hypotheses, ​p​-values and significance levels.

Want a deeper conceptual understanding? Try our interactive lesson!

Null and alternative hypotheses (H₀ & H₁)
SL AI 4.11

The null hypothesis ​H0​​ states the baseline assumption, usually that no effect or relationship exists. If we reject the null hypothesis, we accept an alternative hypothesis ​H1​.

Significance Levels & p-values
SL AI 4.11

p-value: The probability of getting results as surprising (or more) as the observation if the null hypothesis were true.

Significance level (​α​): The cutoff we choose in advance. If the p-value is below ​α, we reject the null hypothesis.

Nice work completing Hypothesis Testing and p-values, here's a quick recap of what we covered:

Skills covered

Mixed Practice

Exercises checked off

I'm Plex, here to help you understand this concept!
/
Inference & Hypotheses
/
Hypothesis Testing and p-values
χ² tests
Hypothesis Testing and p-values
Inference & Hypotheses

Hypothesis Testing and p-values

0 of 0 exercises completed

Exploring a simplified coin flip example to lay the foundation of null and alternative hypotheses, ​p​-values and significance levels.

Want a deeper conceptual understanding? Try our interactive lesson!

Null and alternative hypotheses (H₀ & H₁)
SL AI 4.11

The null hypothesis ​H0​​ states the baseline assumption, usually that no effect or relationship exists. If we reject the null hypothesis, we accept an alternative hypothesis ​H1​.

Significance Levels & p-values
SL AI 4.11

p-value: The probability of getting results as surprising (or more) as the observation if the null hypothesis were true.

Significance level (​α​): The cutoff we choose in advance. If the p-value is below ​α, we reject the null hypothesis.

Nice work completing Hypothesis Testing and p-values, here's a quick recap of what we covered:

Skills covered

Mixed Practice

Exercises checked off

I'm Plex, here to help you understand this concept!

Generating starter questions...

Generating starter questions...