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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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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