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10.1 Language of Hypothesis Testing - Coggle Diagram
10.1 Language of Hypothesis Testing
A hypothesis is a statement regarding a characteristic of one or more populations
Method
Procedure:
Do we have Evidence?
Reject the null hypthesis
fail to reject the null hypthesis
We make a statement about the population
We collect data (evidence)
We analyze our data and determine the probability of the results
We do not Prove Anything in this procedure
Null Hypothesis Denoted by
is a statement to be tested
is a statement of no change effect or difference ans is assumed true until evidence indicates otherwise
makes statements about
the parameter in question:
Proportions and means
Alternative Hypothesis Denoted
is a statement that we are trying to find evidence to support
Null hypothesis is a statement of status quo Contains = it is assumed to be true until we have evidence to the contrary we seek evidence that supports the statement in the alternative hypothesis
Two-tailed tests Different Look for a difference in either direction H0 parameter=some value versus H1: parameter not = some value
One-tailed Tests Look for a difference in only one specific direction
Left-tailed tests(less than)
H0:parameter=some value versus H1
parameter<some value
Right-tailed tests(greaterThan)
H0:parameter=some value versus H1
parameter>some value
Hypothesis Testing Decisions
reject the null hypothesis: we have evidence to suggest the alternative is true
Fail to reject the null hypothesis: we do NOT have sufficient evidence to suggest the alternative is true
Type 1 error Reject the null hypothesis when the null hypothesis is true
Type 2 error do not reject the null hypothesis when the alternative hypothesis is true
