Hypothesis Testing and Correlation Concepts

The video tutorial covers hypothesis testing for zero correlation, explaining key notations like sample and population PMCC, null and alternative hypotheses, and critical values. It details the process for conducting one-tailed and two-tailed tests, providing diagrams and examples. The video also includes step-by-step methods for structuring solutions and solving exam-style questions, focusing on both positive and negative correlations.

What does the symbol 'r' represent in hypothesis testing?

• Critical value

• Population product moment correlation coefficient

• Sample product moment correlation coefficient

• Sample size

In hypothesis testing, what does 'rho' symbolize?

• Sample size

• Sample product moment correlation coefficient

• Population product moment correlation coefficient

• Critical value

What is the null hypothesis in a one-tailed test for positive correlation?

• Rho is not equal to zero

• Rho is less than zero

• Rho is greater than zero

• Rho is equal to zero

In a one-tailed test for negative correlation, what does the alternative hypothesis state?

• Rho is not equal to zero

• Rho is greater than zero

• Rho is less than zero

• Rho is equal to zero

What is the alternative hypothesis in a two-tailed test?

• Rho is less than zero

• Rho is greater than zero

• Rho is not equal to zero

• Rho is equal to zero

What is the first step in structuring a solution for hypothesis testing?

• Draw a diagram

• State the null and alternative hypotheses

• Find the critical value

• Write a conclusion

When conducting a two-tailed test, what should you do with the significance level?

• Subtract it from the critical value

• Multiply it by two

• Divide it by two

• Add it to the sample size

In the example of a one-tailed test for positive correlation, what was the sample PMCC value?

• 0.935

• 0.4973

• 0.05

• 12

What is the critical value used in the example of a one-tailed test for positive correlation?

• 0.05

• 0.935

• 0.4973

• 12

In the example of a one-tailed test for negative correlation, what was the sample PMCC value?

• 15

• -0.43

• -0.4409

• 0.05