A researcher obtained the following for the 95% confidence interval for Pearson's correlation. [-0.05, 0.72] For a sample size of 20, based on r=0.40 Choose the correct statement a) 95% of sample correlations will fall between -0.05 and 0.72. We can therefore conclude that the correlation in the population differs significantly from zero.   b) We are 95% confident that the correlation in the population is between -0.05 and 0.72. However this is based only on one sample and therefore it is inconclusive whether the population correlation differs significantly from zero.   c) We are 95% confident that the correlation in the population is between -.05 and 0.72.. We can therefore conclude that the correlation in the population does differ signifcantly from zero.   d) We are 95% confident that the correlation in the population is between -.05 and 0.72.. We can therefore conclude that the correlation in the population does not differ signifcantly from zero.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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A researcher obtained the following for the 95% confidence interval for Pearson's correlation.

[-0.05, 0.72]

For a sample size of 20, based on r=0.40

Choose the correct statement


a) 95% of sample correlations will fall between -0.05 and 0.72. We can therefore conclude that the correlation in the population differs significantly from zero.
 
b) We are 95% confident that the correlation in the population is between -0.05 and 0.72. However this is based only on one sample and therefore it is inconclusive whether the population correlation differs significantly from zero.
 
c) We are 95% confident that the correlation in the population is between -.05 and 0.72.. We can therefore conclude that the correlation in the population does differ signifcantly from zero.
 
d) We are 95% confident that the correlation in the population is between -.05 and 0.72.. We can therefore conclude that the correlation in the population does not differ signifcantly from zero.
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