A researcher obtains the following p-values for sample correlation coefficients of different samples. Which of these can be considered significant at the 5% level of significance? Choose the correct answer from the options given below.
1.5
2.04
3.95
4.002
5.995
A1 and 5 only
B2 and 4 only ✓ Correct
C3 and 5 only
D1, 3 and 5 only
Correct answer: (B) 2 and 4 only
Explanation
A correlation is significant at the five percent level when its p-value is below the point zero five threshold, so only the small values count.
The p-value zero point zero four is below the threshold and marks a statistically significant correlation.
The p-value zero point zero zero two is far below the threshold and is strongly significant.
The value zero point five greatly exceeds the threshold, so its correlation is not significant.
The values zero point nine five and zero point nine nine five are close to one and clearly non significant.
A p-value is the probability of the result if the null hypothesis were true.
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