Statistics 9,10,&14

Type I Error

Committed when we reject the null hypothesis when the null hypothesis is actually true

Two tailed test

Defined when the null hypothesis states a specific value for the population parameter of interest

Alternative Hypothesis

Denoted Ha; contradicts the default state of nature or status quo. In other words, only one of the two hypotheses is true and the hypotheses cover all possible values of the population parameter

Null Hypothesis

Denoted Ho; corresponding to a presumed default state of nature or status quo

Reject the null hypothesis

If sample evidence is inconsistent with the null hypothesis, we __________

Do not reject the null hypothesis

If sample evidence is not inconsistent with the null hypothesis, we ________

- Identify the relevant population parameter of interest - Determine whether it is a one- or a two-tailed test - Include some form of the equality sign in the null hypothesis and use the alternative hypothesis to establish a claim

In general, we follow three steps when formulating the competing hypotheses

Sample Information

In statistics we use ________ to make inferences regarding the unknown population parameters of interest

One tailed test

Involves a null hypothesis that can only be rejected on one side of the hypothesized value

Type II Error

Made when we do not reject the null hypothesis and the null hypothesis is actually false

Power of the test

The probability of rejecting the null hypothesis when the null hypothesis is false