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A researcher obtains the following p-values for sample correlation coefficients of different samples. Which of these can be considered significant at
Question

A researcher obtains the following p-values for sample correlation coefficients of different samples. Which of these can be considered significant at 1% level significance?
A. 0.004
B. 0.99
C. 0.995
D. 0.001
E. 0.1
Choose the correct answer from the options given below:

A.

B and C only

B.

B, D and E only

C.

A and D only

D.

B, C and E only

Correct option is C

The p-value is a measure of the evidence against the null hypothesis in hypothesis testing. A smaller p-value indicates stronger evidence against the null hypothesis, meaning that there is a significant effect. In this context, we're interested in p-values that are significant at the 1% level, meaning p-values less than or equal to 0.01.
A. 0.004: This is less than 0.01, so it is significant at the 1% level.
D. 0.001: This is less than 0.01, so it is significant at the 1% level.
Therefore, only options A and D have p-values that can be considered significant at the 1% level.
Information Booster
·         0.99: This is much greater than 0.01, so it is not significant.
·         0.995: This is also greater than 0.01, so not significant.
·         0.1: This is greater than 0.01, so it is not significant.
 

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