Testing for zero correlation

Testing for zero correlation Quiz

Spec 5.2 · Edexcel International A Level Further Maths: Quiz

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5 questions, one answer each

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1. A two-tailed 5% test with $n=12$ has critical value $0.5760$ . The sample value is $r=-0.60$ . What is the conclusion?
- A. Reject $H_0$ : evidence of correlation
- B. Insufficient evidence to reject $H_0$
- C. Reject $H_0$ : evidence of positive correlation
- D. The test cannot be done for negative $r$
2. A question asks whether there is evidence that students who sleep more do better in tests. Which alternative hypothesis is used?
- A. $\rho\neq0$
- B. $\rho<0$
- C. $\rho>0$
- D. $\rho=1$
3. For a one-tailed positive test the critical value is $0.6429$ and $r_s=0.58$ . What is the conclusion?
- A. Insufficient evidence to reject $H_0$
- B. Reject $H_0$
- C. Reject $H_1$
- D. $H_0$ is true
4. Which is wrong when writing the hypotheses?
- A. $H_0$ : $\rho=0$
- B. $H_1$ : $\rho\neq0$
- C. $H_1$ : $\rho_s>0$
- D. $H_0$ : $r=0$
5. The product moment test requires which assumption?
- A. The data are ranks
- B. The sample is very large
- C. The data are bivariate Normal
- D. The relationship is monotonic only