When conducting a significance test for correlation, if your null and alternative hypothesis are: Ho:p ≤ 0 H₁:p> 0 Then the test is: right tailed If we reject the null hypothesis, that would suggest the data has a significant: increasing trend Select an answer decreasing trend increasing trend correlation > Next Question

MATLAB: An Introduction with Applications
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### Significance Test for Correlation: Hypothesis Testing

When conducting a significance test for correlation, the null and alternative hypotheses can be defined as follows:

#### Hypotheses:
\[H_0: \rho \leq 0\]
\[H_1: \rho > 0\]

#### Test Type:
The test is: 
\[ \text{right tailed} \]

#### Interpretation:
If we reject the null hypothesis (\(H_0\)), that would suggest the data has a significant:

- Select an answer (decreasing trend, increasing trend, correlation)

The dropdown menu displayed indicates the possible selections for the conclusion of the test, with "increasing trend" being selected.

### Interactive Element:
- **Next Question Button:** This button allows the user to proceed to the next question in the sequence.

### Explanation of Graphs or Diagrams:
There are no graphs or diagrams present in the image. This page involves a multiple-choice selection related to the interpretation of hypothesis testing results for correlation in statistical analysis.

This instruction page is designed to help students understand how to approach significance tests, specifically how to interpret the rejection of the null hypothesis in the context of correlation tests.
Transcribed Image Text:### Significance Test for Correlation: Hypothesis Testing When conducting a significance test for correlation, the null and alternative hypotheses can be defined as follows: #### Hypotheses: \[H_0: \rho \leq 0\] \[H_1: \rho > 0\] #### Test Type: The test is: \[ \text{right tailed} \] #### Interpretation: If we reject the null hypothesis (\(H_0\)), that would suggest the data has a significant: - Select an answer (decreasing trend, increasing trend, correlation) The dropdown menu displayed indicates the possible selections for the conclusion of the test, with "increasing trend" being selected. ### Interactive Element: - **Next Question Button:** This button allows the user to proceed to the next question in the sequence. ### Explanation of Graphs or Diagrams: There are no graphs or diagrams present in the image. This page involves a multiple-choice selection related to the interpretation of hypothesis testing results for correlation in statistical analysis. This instruction page is designed to help students understand how to approach significance tests, specifically how to interpret the rejection of the null hypothesis in the context of correlation tests.
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