What is the null and alternative hypothesis when using Pearson's r for hypothesis testing in statistics?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 18HP
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What is the null and alternative hypothesis when using Pearson's r for hypothesis testing in statistics?
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In hypothesis testing with Pearson's r, the null hypothesis is typically that there is no correlation between the two variables being studied, represented as "Pearson's r = 0". The alternative hypothesis is that there is some non-zero correlation between the variables, represented as "Pearson's r ≠ 0". The objective of hypothesis testing is to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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