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Chapter 5 · Data Analysis: A Concise Overview of Statistical Techniques · Slide 190/274

Hypothesis Testing

Analogy: a rustling in the bushes — is that a lion? H₀: There is no lion in the bushes.

5.2.1 · Hypothesis TestingStep 2 · Lion analogy

Hypothesis Testing


Step 2 · Setting the significance level

Analogy: a rustling in the bushes — is that a lion?
H₀: There is no lion in the bushes.

Significance (α) — probability that a true null hypothesis is rejected.

β — probability that a false null hypothesis is accepted.

There is no lion, but you run away
Null hypothesis (H₀)
is true
Null hypothesis (H₀)
is false
Null hypothesis
reject
Type I errorFalse positiveCorrect decisionTrue positive
Null hypothesis
do NOT reject
Correct decisionTrue negativeType II errorFalse negative
You stay unconcerned — and the lion eats you
QUESTIONSTAR · Dr. Paul Marx190 / 274
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