Hypothesis Testing (Leaving Cert Mathematics): Quizzes

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Hypothesis Testing
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What does ρ\rho represent in hypothesis testing for correlation?

Population correlation coefficient

What does H0H_0 always represent in hypothesis testing for correlation?

No correlation (ρ=0\rho = 0)

Which option should you choose on a statistical calculator to find rr?

y=a+bxy = a + bx

What can affect the correlation coefficient in small samples?

Measurement errors

What is the alternative hypothesis for testing positive correlation?

H1:ρ>0H_1: \rho > 0

When testing positive correlation, when do you reject H0H_0?

When r>r > critical value

At 2.5% significance with n=5n=5, critical value is 0.8783. If r=0.8450r=0.8450, what decision?

Do not reject H0H_0

What conclusion follows when you do not reject H0H_0?

Insufficient evidence of correlation

Which alternative hypothesis indicates a two-tailed test?

H1:ρ≠0H_1: \rho \neq 0

At 1% significance with n=7n=7, critical value 0.8745. If r=−0.9599r=-0.9599, what decision?

Reject H0H_0

A 2.5% significance level corresponds to being what % certain?

97.5%

What conclusion follows when you reject H0H_0?

Sufficient evidence of correlation

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