Inference for Proportions, Means, and Slope

Confidence Interval (A, B)

We are % confident that the interval from A to B captures the true parameter context.

Confidence Level

If we take many, many samples of the same size and calculate a confidence interval for each, about confidence level % of them will capture the true parameter in context

p-value

Assuming in context, there is a p-value probability of getting the observed result or less/greater/more extreme, purely by chance

Conclusion for a Significance Test

• Because p-value < significance, we reject ho & we do have convincing evidence for in context

• Because p-value > significance, we fail to reject ho & we do not have convincing evidence for in context

Type 1 Error

The context (Ho) is true, but we find convincing evidence for context (Ha)

Type 2 Error

The context (Ha) is true, but we don't find convincing evidence for context (Ho)

Power

If context is true at a specific value there is a power probability the significance test will correctly reject

Standard Error of the Slope

The slope of the sample LSRL for x-context and y-context typically varies from the slope of the population LSRL by about ____