A researcher obtains the following p values for sample correlation coefficients of different samples.
Which of these can be considered significant at 5% level of significance?
A. 0.5
B. 0.04
C. 0.95
D. 0.002
E. 0.995
Choose the correct answer from the options given below:

Correct option is B

A p-value measures the probability of obtaining the observed results, assuming that the null hypothesis is true. A p-value less than 0.05 (5% level of significance) is typically considered statistically significant, indicating strong evidence against the null hypothesis. 
In this case, the p-values of 0.04 and 0.002 are both less than 0.05, making them statistically significant. Therefore, options B and D are the significant results. The correct choice based on these considerations is option (b), "B and D only."
Information Booster:
- Option A (0.5) and Option C (0.95): These p-values are much higher than 0.05, indicating weak evidence against the null hypothesis, hence they are not significant.
- Option E (0.995): This p-value is very close to 1, suggesting that the correlation coefficient is very likely to occur under the null hypothesis, thereby providing very strong evidence in favor of the null hypothesis. This result is not significant either.