Further Correlation & Regression (A Level only) (Edexcel A-Level Mathematics): Quizzes

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Hypothesis Testing for Correlation
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In hypothesis testing for correlation, what does H0H_0 always represent?

ρ=0\rho = 0 (no correlation)

What is the difference between rr and ρ\rho in correlation testing?

rr is sample, ρ\rho is population

What is the first step when using a statistical calculator to find rr?

Select 'Statistics' mode

For n=5n=5 at 2.5% significance testing positive correlation, what is the critical value?

0.87830.8783

When testing for positive correlation, when should you reject H0H_0?

When rr > critical value

If r=0.8450r = 0.8450 and critical value is 0.87830.8783, what is the conclusion?

Insufficient evidence of correlation

When testing for negative correlation, what critical value should be used?

Negative of the positive value

What is the alternative hypothesis when testing for positive correlation?

H1:ρ>0H_1: \rho > 0

For n=7n=7 at 1% significance (1-tail), what is the critical value?

0.87450.8745

If r=0.9599r = -0.9599 and critical value is 0.8745-0.8745, what should you do?

Reject H0H_0

What does 97.5% certainty correspond to in hypothesis testing?

2.5% significance level

What is the alternative hypothesis for a two-tailed correlation test?

H1:ρ0H_1: \rho \neq 0

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