# ch8 - Type 1 or error Reject H0 when it is true Type 2 or...

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Type 1 or error, Reject H α 0 when it is true. Type 2 or error, not rejecting H β 0 when it is false. •For a population mean, known , Test: σ n x z / 0 σ μ - = Ex) Given: n=49, H 0 = <26, H μ a = >26, =5, =.05 and new =28.04. Get: RR= z>1.645(from ) μ σ α μ α Calculate: Z= (28.04-26)/(5/rad(49))= 2.886. Decide to reject H 0 because 2.886>1.645 Ex) Given: n=16, H 0 = =95, H μ a = 95, =1.2, =.01 and new =94.32. Get: RR= z<-2.575 or z>2.575 μ≠ σ α μ Calculate: Z=(94.32-95)/(1.2/rad(16))= -2.267, so we keep Ho and reject Ha •FOR BETA ERRORS d= ' 0 - Look at table A.17. The curve represents n. Calculate B that way. Do not need the below table (I think?) Ha: > μ μ 0 - + Φ n z / ' 0 α ( found on Z table) φ Ha: < μ μ 0 1-(the above) Ha: μ≠μ 0 - + Φ n z / ' 0 2 / - - + - Φ n z / ' 0 2 / Ex) n=10, H 0 : =2.5 verses H μ a : >2.5 with =.05 and =.1, how likely that H μ α σ 0 is not rejected when
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