P-Values (Leaving Cert Mathematics): Flashcards

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P-Values
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P-value definition

Probability of observing data as extreme as sample, given H0H_0 true

Null hypothesis (H0H_0)

Statement that there is no effect or no difference

Alternative hypothesis (H1H_1)

Statement that contradicts the null hypothesis

Meaning of small p-value (p<alphap < alpha)

Strong evidence against H0H_0; reject H0H_0

Meaning of large p-value (pgeqalphap geq alpha)

Weak evidence against H0H_0; fail to reject H0H_0

Common alphaalpha values

0.05 or 0.01

Action when p<alphap < alpha

Reject H0H_0

Action when pgeqalphap geq alpha

Fail to reject H0H_0

Z-test statistic formula

z = rac{ar{x} - mu}{s / sqrt{n}}

Step 1 of hypothesis testing

Formulate H0H_0 and H1H_1

P-value calculation depends on

Statistical test used (z-test, t-test, etc.)

Step 5 of hypothesis testing

Compare p-value with alphaalpha and decide on H0H_0

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