Question
how exactly do you read this table?
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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.