Chapter 9 Flashcards
significance test
formal procedure for using observed data to decide between two completing claims (hypotheses)
claims usually statements about parameters
null hypothesis
claim we want evidence against (Ho)
alternative hypothesis
Claim we want evidence for (Ha)
one sided alternative hypothesis
one-sided if it states the parameter is greater than or less than the null value
one or the other
two-sided alternative hypothesis
two-sided if it states the parameter is different from the null value
could be greater than or less than, it just can’t be the null value
P-value
the probability of getting evidence as strong as or stronger for Ha when Ho is true
significance level
the value we use as a boundary for deciding whether and observed result is unlikely to happen by chance alone when the null hypothesis is true
Type I error
happens if we reject Ho when Ho is true
the data gave convincing evidence Ha is true when Ha is false
Type II error
happens if we fail to reject Ho when Ha is true
the data did not give convincing evidence Ha is true when it is
standard test statistic
measures how far a sample statistic is from what we would expect if Ho is true in standard deviation units
(statistic - parameter)/(standard deviation (error) of statistic)
power
the probability that the test will find convincing evidence for Ha when a specific alternative value of the parameter is true