Hypothesis Testing for Correlation (AQA A-Level Mathematics): Flashcards

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Hypothesis Testing for Correlation
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Symbol for population correlation coefficient

ρ\rho (rho)

Symbol for sample correlation coefficient

rr

Null hypothesis in correlation testing

H0:ρ=0H_0: \rho = 0 (no correlation)

Alternate hypothesis for positive correlation

H1:ρ>0H_1: \rho > 0

Alternate hypothesis for general correlation test

H1:ρ≠0H_1: \rho \neq 0

How to calculate rr

Use statistical calculator in linear regression mode (y=a+bxy = a + bx)

When to reject H0H_0 in correlation test

When ∣r∣|r| exceeds critical value from table

Conclusion when H0H_0 is rejected

Sufficient evidence populations are correlated

Conclusion when H0H_0 not rejected

Insufficient evidence populations are correlated

Critical value depends on

Sample size (nn) and significance level

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