how exactly do you read this table? Mac Mler . The High ur Weko ne, Car le Black

Question

how exactly do you read this table?

Mac Mler . The High ur Weko ne, Car le Blackl × A91 Hnk-Scatter Diagn X Explanatory Variable & Re X Scatter Disgren-State x × Frequently Asked Qu -My LastPass Vault N-CUNY Login ? cuNY Virtual Deskto In this problem, we use your critical values table to explore the significance of r based on different sample sizes rtkal ales for Corrdaion Coelhdeat a 04 353 14 053 4 095 508896 608 70.75 8 071 9067 O 063 066 5040 200 05) 092 50 038 6308 1208 (a) ts a sample correlation coeffidient PH apply ) significensath Hoi level based on a sample size of data pairs? what about n - 10 data pairs? (Select all Yes, because the absolute value of the given correlation c af derit s smalar than that fora sample size of n ??0 and 0.01 ? No, because the absolute value of the given correlation coem ciet is greater thao equal to that for a sample size of n = 4 and ? = 0.01 | than cir: equal to that for a sample size of n-10 and ?-0.01. l No, because the absolute value of the given yes, because the absolute value of the givenc ? No, because the absolute value of the given one than or aqual to that for a sample size or a 10 and a 0.01. Type here to search 5 6

Explanation / Answer

Here we will read two values from the table. FIrst n and second the significance level

(a) Here in part a, ? = 0.89

so first : n = 4 and alpha = 0.01 so ?critical = 0.99

for n = 10 and alpha = 0.01 so  ?critical = 0.76

Here option c and option d is corrected as selected by you.

(b) Here ? = 0.43

n = 16 and alpha = 0.05

so ?critical = 0.50 so we can say the correlation is not significant here

for n = 28 and alpha = 0.05 ;  ?critical = 0.37

so here ? >  ?critical so correlation is significant here.

Here the option (b) and (g) is correct for n = 16 and n = 28 respectively.

(c) Here option e is correct as a larger sample size means that a smaller absolute value of the correlation might be significant. rest options are incorrect.

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