Chapter 14.4, Problem 1LC

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A researcher obtains a correlation of *r* = 0.39 for a sample of *n* 25 individuals. Does this sample provide sufficient evidence to conclude that there is a significant, nonzero correlation in the population? Assume a two-tailed test with α =.05.

To determine

If there is sufficient evidence to conclude that there is non-zero correlation in the population.

Explanation

**Given info:**

The Correlation for a sample of size

**Calculation:**

*The null and alternative hypotheses:*

*The null hypothesis:*

*The alternative hypothesis:*

The test statistic for Pearson correlation coefficient is,

Here,

Thus, the test statistic,

Sect-14.1 P-1LCSect-14.1 P-2LCSect-14.1 P-3LCSect-14.1 P-4LCSect-14.2 P-1LCSect-14.2 P-2LCSect-14.2 P-3LCSect-14.3 P-1LCSect-14.3 P-2LCSect-14.4 P-1LC

Sect-14.4 P-2LCSect-14.4 P-1LCASect-14.5 P-1LCSect-14.5 P-2LCSect-14.5 P-3LCSect-14.5 P-1LCASect-14.5 P-2LCASect-14.6 P-1LCSect-14.6 P-2LCSect-14.6 P-3LCSect-14.6 P-4LCSect-14.6 P-1LCASect-14.6 P-1LCBSect-14.6 P-2LCBSect-14.6 P-3LCBSect-14.6 P-1LCCCh-14 P-1PCh-14 P-2PCh-14 P-3PCh-14 P-4PCh-14 P-5PCh-14 P-6PCh-14 P-7PCh-14 P-8PCh-14 P-9PCh-14 P-10PCh-14 P-11PCh-14 P-12PCh-14 P-13PCh-14 P-17PCh-14 P-18PCh-14 P-19PCh-14 P-20PCh-14 P-21PCh-14 P-22PCh-14 P-23PCh-14 P-24PCh-14 P-25PCh-14 P-26PCh-14 P-27PCh-14 P-28PCh-14 P-29P

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