QUIZ 5: testing a single parameter (4/11) Flashcards
Null Hypothesis (H sub o)
specifies the parameter is equal (=) to a single value
Alternative Hypothesis (H sub A)
specifies the parameter is <, >, or ≠ to the value
(If choose < or >, called a one-tailed test of hypotheses
If choose ≠, called a two-tailed test)
this hypothesis goes along with the researcher’s question or suspicion
level of significance (α)
the probability of rejecting H sub o when it is true
test statistic
the sample statistic upon which we base our decision to either reject or not reject the null hypothesis
decision rule (or rejection region)- range of values, based on α, such that:
a. If the test statistic falls in that range, we reject H sub o
b. otherwise, we do not reject H sub o
Making a decision/conclusion:
-If we reject H sub o, we conclude there is enough statistical evidence to infer the alternative hypothesis is true
-If we do not reject H sub o, we conclude there isn’t enough statistical evidence to suggest H sub A is true
P-value
the probability of observing a sample value (or test statistic) as extreme, or more extreme, than the value observed, assuming that the null hypothesis is true
If p < α, then
we reject H sub o
how to calculate p-value:
the area beyond the test statistic
Type 1 error:
reject the H sub o when it was really true
type 2 error:
Do not reject H sub o, when it is really false
what assumption are we making under hypothesis testing?
the assumption that H sub o is true!