Find the value for r and test the significance of r at the 5% level and at the 1% level.
A)r = 0.998. r is significant at the 5% level and the 1% level
B)r = 0.995. r is significant at the 5% level, but not at the 1% level
C)r = 0.998. r is significant at the 5% level, but not at the 1% level
D)r = 0.995. r is significant not significant at the 5% level or the 1% level

Question

Find the value for r and test the significance of r at the 5% level and at the 1% level. 
A)r = 0.998. r is significant at the 5% level and the 1% level 
B)r = 0.995. r is significant at the 5% level, but not at the 1% level 
C)r = 0.998. r is significant at the 5% level, but not at the 1% level 
D)r = 0.995. r is significant not significant at the 5% level or the 1% level

Quizplus · Accepted Answer

Since the value of r is not given in the question, it cannot be determined directly. However, based on the answer choices, we can see that options A and C both give a value of r = 0.998, while options B and D give a value of r = 0.995. 
Now, according to the options, r is significant at the 5% level and the 1% level for option A, which means that there is strong evidence to suggest that the correlation coefficient is not zero. This is also supported by the high value of r (=0.998) which indicates a very strong positive correlation between the two variables. 
On the other hand, option B suggests that r is significant only at the 5% level, but not at the 1% level. This means that while there is some evidence to suggest that the correlation coefficient is not zero, it is not as strong as in option A. 
Option C is similar to option A, as it also gives a value of r = 0.998 and suggests that r is significant at the 5% level, but not at the 1% level. This means that while the evidence is strong, it is not strong enough to reject the null hypothesis at the 1% level. 
Lastly, option D suggests that r is not significant at either the 5% level or the 1% level. This means that there is no evidence to suggest that the correlation coefficient is not zero.

Therefore, the best choice is A as it gives a strong value for r and suggests strong evidence to support the correlation at both the 5% and 1% levels.

Find the Value for R and Test the Significance of R