Math 3020 Lesson 12
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13 Terms
Type I Error
Reject the null hypothesis when the null hypothesis is true
Type II Error
Fail to reject the null hypothesis when the null hypothesis is false
Power
Probability of rejecting the null hypothesis when the null hypothesis is false = Probability of correctly rejecting a false null hypothesis
p-value
Probability of obtaining a statistic as or more extreme than the one from our data, in the direction(s) of the alternative hypothesis, assuming the null hypothesis is true
parameters
summary measures from our sample to estimate corresponding values
Parameter Estimation
aim to estimate the true value of an unknown parameter from our population
Important Population Parameters
The standard error of a given statistic
the standard deviation of the sampling distribution of that statistic.
standard error of a statistic provides information about
the precision of the estimation
statistical hypothesis
a statement about the parameters of one or more populations.
Hypotheses are ALWAYS statements about
The population
Reject the null hypothesis.
we have enough evidence to conclude that the alternative hypothesis is true.
Fail to reject the null hypothesis
we do NOT have enough evidence to conclude that the alternative hypothesis is true.