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

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Hypothesis Testing for Correlation
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Symbol rr in hypothesis testing

Sample correlation coefficient

Symbol ho ho in hypothesis testing

Population correlation coefficient

Null hypothesis for correlation test

H0:ho=0H_0: ho = 0 (no correlation)

H1H_1 for positive correlation test

H1:ho>0H_1: ho > 0

H1H_1 for negative correlation test

H1:ho<0H_1: ho < 0

H1H_1 for two-tailed correlation test

H1:hoeq0H_1: ho eq 0

Reject H0H_0 for positive correlation when

r>r > critical value

Reject H0H_0 for negative correlation when

r<r < -critical value

Critical values depend on

Sample size (nn) and significance level

Small sample issue in correlation

Errors can inflate/deflate rr

If rr doesn't exceed critical value

Do not reject H0H_0; insufficient evidence

Calculator mode for finding rr

Statistics mode, y=a+bxy = a + bx option

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