Testing for zero correlation

Testing for zero correlation Quiz

Spec 3.3 · Edexcel A-Level Further Maths: Quiz

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5 questions, one answer each

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  1. 1. Which hypotheses test for any correlation using the product moment coefficient?

    • A. H0:r=0, H1:r≠0H_0:r=0,\ H_1:r\ne0
    • B. H0:ρ=0, H1:ρ>0H_0:\rho=0,\ H_1:\rho>0
    • C. H0:ρ=0, H1:ρ≠0H_0:\rho=0,\ H_1:\rho\ne0
    • D. H0:ρ≠0, H1:ρ=0H_0:\rho\ne0,\ H_1:\rho=0

  2. 2. n=10n=10, r=0.55r=0.55. The two-tailed 5% critical value is 0.63190.6319. What is the conclusion?

    • A. Reject H0H_0
    • B. Do not reject H0H_0
    • C. Accept H1H_1 as proven
    • D. The test is invalid

  3. 3. A one-tailed test for negative correlation has critical value 0.54940.5494. For which sample value is H0H_0 rejected?

    • A. r=−0.40r=-0.40
    • B. r=0.60r=0.60
    • C. r=−0.50r=-0.50
    • D. r=−0.60r=-0.60

  4. 4. Which condition is needed for the product moment correlation test?

    • A. Bivariate normal population
    • B. Data are ranks
    • C. No tied values
    • D. A sample size of at least 30

  5. 5. To use the table for a two-tailed test at the 5% level, you read the column for a one-tailed

    • A. 5% test
    • B. 1% test
    • C. 10% test
    • D. 2.5% test

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