Skip to main content
Statistics LibreTexts

12.5.1: Testing the Significance of the Correlation Coefficient (Exercises)

  • Page ID
    20447
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)

    Exercise 12.5.5

    When testing the significance of the correlation coefficient, what is the null hypothesis?

    Exercise 12.5.6

    When testing the significance of the correlation coefficient, what is the alternative hypothesis?

    Answer

    \(H_{a}: \rho \neq 0\)

    Exercise 12.5.7

    If the level of significance is 0.05 and the \(p\text{-value}\) is \(0.04\), what conclusion can you draw?


    12.5.1: Testing the Significance of the Correlation Coefficient (Exercises) is shared under a CC BY license and was authored, remixed, and/or curated by LibreTexts.

    • Was this article helpful?