When testing whether the correlation coefficient differs from zero,the value of the test statistic is 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.

Question

When testing whether the correlation coefficient differs from zero,the value of the test statistic is  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.

Quizplus · Accepted Answer

The p-value of 0.0061 is less than the significance level of 0.05, indicating that the probability of observing such a strong correlation coefficient if the true correlation coefficient is actually zero is very low. Therefore, we can reject the null hypothesis that the correlation coefficient is zero and conclude that there is evidence of a non-zero correlation between the variables.

When Testing Whether the Correlation Coefficient Differs from Zero,the Value