STATS chapter 8 hypothesis testing Flashcards
STATS ch 8 hypothesis testing
hypothesis
a claim or a statement about a property of a population
STATS ch 8 hypothesis testing
hypothesis test
a procedure for testing a claim about a population
STATS ch 8 hypothesis testing
Rare event rule for inferential statistics
If, under a given assumption, the probability of a particular observed event is extremely small, we conclude that the assumption is probably not correct.
STATS ch 8 hypothesis testing
Null Hypothesis
H 0 : p = .5
The Value that the population parameter (mean, proportion or standard deviation) is equal to some claimed value.
STATS ch 8 hypothesis testing
Alternative Hypothesis
H 1 : p > .5
The parameter has a value that is somehow different from the null hypothesis; uses , ≠
STATS ch 8 hypothesis testing
Significance level α
the probability of making the mistake of rejecting the null hypothesis when it is true.
STATS ch 8 hypothesis testing
Test statistic
a value used in making decisions about the null hypothesis. Uses z score
STATS ch 8 hypothesis testing
Two tailed test
When H1: ≠
STATS ch 8 hypothesis testing
left tailed test
H1 : <
STATS ch 8 hypothesis testing
Right Tailed Test
H1 : >
STATS ch 8 hypothesis testing
P-Value
probability of test statistic at least as extreme as the one obtained.
STATS ch 8 hypothesis testing
p
population proportion
STATS ch 8 hypothesis testing
If P-Value is greater than α
Fail to reject H0
STATS ch 8 hypothesis testing
If P-Value is ≤ α
Reject H0
STATS ch 8 hypothesis testing
if the original claim does not include equality and you reject H0
“There is sufficient evidence to support the claim that… (original claim)
