My Noles Ask Your Teach In this problem, we use your critical values table to ex

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My Noles Ask Your Teach In this problem, we use your critical values table to explore the significance of r based on different sample sizes Critikal Values for Correlation Coefficdent - 005 001 1.00 4 095 5 0.88 3 0s5 23 041 099 14 a53 066 24 040 096 1 0516425 0.40 5 o.81 092 16 0.50 0:61 0.75 0.87 17 04 061 8 OT 0.57 0.50 19 Q46 ,058 29 0.57. 0A7 26 0.39 27 0.38 70,75 o7 0818 047 05928 037 04 0 0630.762 044 056 30 036 11 0.60 0.73 0.71 12 0.58 22 0.42 01 level based on a sample size of n 7 data pairs? what about n a rs? Select all that apply. data (a Is a sample correlation coefficient -0.8 significant at the Yes, because the absolute value of the given oorrelation coefficient is greater than or equal to that for a sample size of n-7 and a 0.0. No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n 7 and a .01 Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n-, and = 0.01. No, because the absolute value of the given correlation coefficient is greater than or equal to that or asampla size ofo ,7 and a No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n-9 and -0.01. Yes, because the absolute value of the given correlation coefficient is sma Yes, because the absolute value of the given correlation coefficient is greater -9 and -0.01 001 ller than that for a sample size of n-7 and a-0.01 than or equal to that for a sample size of n-9 and -0.01. = 0.05 level based on a sample size of n-16 data pairs? What about n-26 data pairs7(Select all that apply.) on a No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n-26 and = 0.05 No, because the absolute value of the given correlation coefficient is smaller than that for a sample size ofn-16 and oos Yes, because the absolute value of the given correlation coefficient is greater thani or equal to that for a sample size of n- 16 and a -0.05, Yes, because the absolute value of the given correlation coefficient is greater than ar equal to that for a sample size of n 26 and o.os No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of 0-16 and a-oos Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n= 26 and a 0.05. (b) Is a sample correlation coefficient p 0.43 significant at the a , because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 26 and -0.05. Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of nio and a-0.05. mple size have to do with the significance of er than 0.70? order to be significant, a

Explanation / Answer

(a) Here = 0.86

so for n = 7 data points

critical for = 0.01 is 0.87

so it is not significant at = 0.01

for n = 9 data points

critical for = 0.01 is 0.80

so it is significant at = 0.01  

so at = 0.01, for n = 7 it is insignificat but for n = 9, it is significant

Here option (2) and option (8) is correct .

(b)

Here = 0.43

so for n = 7 data points

critical for = 0.05 is 0.50

so it is not significant at = 0.05

for n = 9 data points

critical for = 0.05 is 0.39

so it is significant at = 0.05

so this is significant for n = 26 and but not for n = 16 at significance level 0.05

Option (2) and Option (4) are correct here.

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