5 Step Hypothesis for Regression

Topics: Statistical hypothesis testing, Statistics, Null hypothesis Pages: 2 (270 words) Published: March 14, 2011
5 Step Hypothesis for Regression
Team D will conduct a test on the hypotheses :
H₀: M₁ ≤ M₂
The null hypothesis states that non-European Union countries (M₁) have a lesser/equal to life expectancy than European Union countries (M₂). H₁: M₁ > M₂
The alternative hypothesis states that non-European Union (M₁) countries have a greater life expectancy than European Union countries (M₂). Team D will conduct research with a level of significance of α = .05 Identify the test statistic: Team D will use the results from our regression analysis to determine whether the slope of the regression line differs significantly from zero. The decision rule is with 95% confidence interval of the 63 sample observations the rejection of the null hypothesis if the computation of the p-value is greater than 2.87 and if the p-value is less than 2.87 the null hypothesis is accepted. Regression Analysis| | | | | |

| | | | | | |
| r² | 0.076 | n | 62 | | |
| r | -0.276 | k | 1 | | |
| Std. Error | 10.734 | Dep. Var. | Literacy %| |
| | | | | | |
ANOVA table| | | | | | |
Source| SS | df | MS| F| p-value| |
Regression| 569.73600489 | 1 | 569.73600489 | 4.94| .0299| | Residual| 6,913.25576931 | 60 | 115.22092949 | | | | Total| 7,482.99177419 | 61 |  |  |  | |
| | | | | | |
| | | | | | |
Regression output| | | | confidence interval|
variables| coefficients| std. error | t (df=60)| p-value| 95% lower| 95% upper| Intercept| 93.4294 | 1.4442 | 64.694 | 3.32E-57| 90.5406 | 96.3182 | Population (1000's)| -0.00001422 | 0.00000639 | -2.224 | .0299| -0.00002701 | -0.00000143 | | | | | | | |

Team D conducted a regression analysis and determined that the p-value of .0299 is less than 2.87 so we will accept the null hypothesis.
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