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Hypothesis tests
A couple of remarks
Many tests exist in both a two-sided and a onesided versions:
 Null-hypotheses: ≤, =, or ≥
 Critical values: one-sided use a
two-sided use a/2
We can reject H0 in three equivalent way:
 The test statistic is in the critical area
 The p-value < a
 Hypothesised value (e.g. 0) is outside the
confidence intervals (only for two-sided tests)
lecture 8