Chapter 7.4-8 Flashcards
Hypothesis Tests and Errors
H0
Null hypothesis, what we assume to be true
HA
Alternative hypothesis, what we are looking to see if there is potential evidence for
When asked if there is convincing evidence for/against something…
do a four step hypothesis test
State stage
define H0, HA, alpha level, and parameters
Plan stage
state what test you will perform, test the conditions
Do stage
Calculate test statistic and p-value (either by hand or using test on calculator)
Conclude stage
Write a conclusion including your p-value, alpha level, your conclusion, and context
Conclusion sentence frame
Because our p-value of X is greater/less than our alpha level of 0.05, we reject/fail to reject H0. We do/don’t have convincing that (HA in context)
Small p-value is evidence to…
reject H0
Large p-value is evidence to…
not reject H0
Lower alpha level ensures…
we don’t reject we shouldn’t, more conservative
Type I error
occurs when we reject H0 but H0 is actually true
Probability of Type I error
is equivalent to the alpha level
Type II error
occurs when we fail to reject H0 but H0 is actually false
If it’s an experiment…
checking independence/10% condition is unnecessary, use p-hat-c in place of parameter(s)
If conditions are not met…
results of a simulation will be given. Find probability of sample statistic from simulation (p-hat/times simulation was run)