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