514 / 762
514
Chapter 12: Hypothesis Tests – Large Samples
Notes:
must contain the condition of equality and must be written with the
symbol = or
or
.
When a statistical test is actually performed, we will assume that the
parameter equals a specific value.
Next we will define what is meant by an alternative hypothesis.
Definition: Alternative Hypothesis (
H
1
)
The alternative hypothesis states that there is a precise difference between a
parameter (or parameters) and a specified value.
Notation:
The alternative hypothesis is denoted by
.
Notes:
is the negation of
.
is the statement that must be true if
is false.
must be written with the symbol ≠, >, or <.
After the hypotheses are stated, the next step is to design the study to test the
null hypothesis and to select an appropriate statistical test.
Note that during
a hypothesis test, the hypothesis that is assumed to be true is the null
hypothesis.
Definition: Statistical Test
A statistical test uses the data collected from the study to make a decision
about the null hypothesis.
This decision in the statistical test will be to reject or not to reject the null
hypothesis.