Answered: A researcher obtained the following for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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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