Hypothesis Testing (Edexcel A-Level Further Mathematics): Quizzes

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Hypothesis Testing
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What do we first assume when performing a hypothesis test for correlation?

No correlation

What does H0:ρ=0H_0: \rho = 0 represent in correlation testing?

Null hypothesis: no correlation

If testing for positive correlation only, what is H1H_1?

ρ>0\rho > 0

A 5% significance level means we test with what level of certainty?

95%

For a one-tailed positive test, when do we reject H0H_0?

When r>r > critical value

In a two-tailed test at 10% significance, how is the level split?

5% each direction

Spearman's rank test hypotheses refer to what instead of ρ\rho?

Association

For a two-tailed test, when do we reject H0H_0?

r>r > critical or r<−r < -critical

What statement shows rejection of H0H_0 at significance level?

Sufficient evidence for correlation

What symbol represents Spearman's rank correlation coefficient?

rsr_s

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