Ask Question
27 March, 16:52

When testing whether the correlation coefficient differs from zero, the value of the test statistic is t20 = - 2.95 with a corresponding p-value of 0.0061. At the 5% significance level, can you conclude that the correlation coefficient differs from zero?

A) Yes, since the p-value is less than 0.05.

B) Yes, since the absolute value of the test statistic exceeds 0.05.

C) No, since the p-value is less than 0.05.

D) No, since the absolute value of the test statistic exceeds 0.05.

+3
Answers (1)
  1. 27 March, 17:05
    0
    A. Yes, since the p-value is less than 0.05.

    Step-by-step explanation:

    For the testing of correlation coefficient the null hypothesis and alternative hypothesis can be stated as

    Null hypothesis: The correlation coefficient doesn't differs from zero.

    Alternative hypothesis: The correlation coefficient differs from zero.

    If our p-value is less than significance level α then the null hypothesis will be rejected. We are given that p-value=0.0061 and α=0.05.

    As we can see that p-value is much smaller than α, so, the null hypothesis will be rejected and we conclude that the correlation coefficient differs from zero.

    So, the correct option is option A which is "Yes, since the p-value is less than 0.05".
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “When testing whether the correlation coefficient differs from zero, the value of the test statistic is t20 = - 2.95 with a corresponding ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers