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Which of the following p-values would signify that a sample correlation coefficient is significant at 1% level of significance?
Question

Which of the following p-values would signify that a sample correlation coefficient is significant at 1% level of significance?

A.

0.005

B.

0.02

C.

0.99

D.

0.95

Correct option is A

A p-value of 0.005 indicates there is a 0.5% probability that the observed correlation could be due to chance if the null hypothesis were true. For a test at the 1% significance level, we reject the null hypothesis if the p-value is less than 0.01. Since 0.005 is less than 0.01, it signifies a significant result, suggesting the sample correlation coefficient is statistically significant at the 1% level.
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·         0.02
A p-value of 0.02 means there's a 2% chance of observing the correlation by random chance. It's significant at the 5% level but not at the 1% level.
·         0.99
This p-value is far above any conventional significance level, suggesting there's a 99% probability the observed correlation is due to chance, not significant at the 1% level.
0.95
·         Similar to 0.99, a p-value of 0.95 is well above the 1% significance threshold, indicating a very high likelihood that the correlation observed could be due to random variation.
 

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