Chapter 1 - Regression, Correlation, and Hypothesis Testing - Hypothesis Testing for Zero Correlation
8問 • 2年前問題一覧
1
r - PMCC for a sample, ρ - PMCC for a whole population
2
The PMCC of a sample can indicate whether there is likely to be a linear relationship for the entire population
3
H0, Null Hypothesis : ρ = 0, H1, Alternative Hypothesis : ρ > 0
4
H0, Null Hypothesis : ρ = 0, H1, Alternative Hypothesis : ρ < 0
5
H0, Null Hypothesis : ρ = 0, H1, Alternative Hypothesis : ρ ≠ 0
6
When testing if ρ > 0, When testing if ρ < 0
7
When testing if ρ ≠ 0
8
Identify suitable null and alternative hypotheses , Use page 37 in the formula booklet to find the critical value for the PMCC, r, based on the sample size and significance level (½ significance level if test is two tailed), For a one-tailed test, the critical region is r > critical value when testing for positive correlation, and r < the negative of the critical value when testing for negative correlation, For a two-tailed test, the critical regions are r > critical value and r < the negative of the critical value, Write a conclusion in context - if r falls in the critical region, reject the null hypothesis. If r falls outside of the critical region, there is insufficient evidence to reject the null hypothesis
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11問 • 2年前問題一覧
1
r - PMCC for a sample, ρ - PMCC for a whole population
2
The PMCC of a sample can indicate whether there is likely to be a linear relationship for the entire population
3
H0, Null Hypothesis : ρ = 0, H1, Alternative Hypothesis : ρ > 0
4
H0, Null Hypothesis : ρ = 0, H1, Alternative Hypothesis : ρ < 0
5
H0, Null Hypothesis : ρ = 0, H1, Alternative Hypothesis : ρ ≠ 0
6
When testing if ρ > 0, When testing if ρ < 0
7
When testing if ρ ≠ 0
8
Identify suitable null and alternative hypotheses , Use page 37 in the formula booklet to find the critical value for the PMCC, r, based on the sample size and significance level (½ significance level if test is two tailed), For a one-tailed test, the critical region is r > critical value when testing for positive correlation, and r < the negative of the critical value when testing for negative correlation, For a two-tailed test, the critical regions are r > critical value and r < the negative of the critical value, Write a conclusion in context - if r falls in the critical region, reject the null hypothesis. If r falls outside of the critical region, there is insufficient evidence to reject the null hypothesis