# HW8 - STAT 500 HW 8 1. Problem 5.80 f. False i. False 2....

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STAT 500 HW 8 1. Problem 5.80 f. False i. False 2. Problem 5.81 a. False A Type II error is committed when we fail to reject the null hypothesis Ho, when Ho is actually false. b. True If we make a type II error, we have missed detecting an event or effect when there actually was one. c. False. The probability of making a type II error is equal to β. d. False If we increase the probability of making a type II error, we decrease the probability of making a type I error. 3. Problem 5.94 C, E and G are true. 4. Problem 5.96 a. Normally distributed, to population mean (μ) b. Narrowed or smaller c. Wider or larger d. Central limit theorem e. Type II error 5. Problem 5 from HW Ho = The drug has severe side effects Ha = The drug has no severe side effects 6. Problem 6 from HW Ho: π = 0.5

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Ha: π < 0.5 Left tailed test α = 0.05 15/40= 0.37 40*0.5 = 20 > 5 40*0.5 = 20 > 5 P- value Z = (0.37-0.5) / √((0.5*0.5) / 40) = -1.56 P(z<-1.56) = 0.0594 Then p-value = 0.0594 Since p-value > α, we fail to reject the null hypothesis at α = 0.05.
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## This note was uploaded on 03/20/2008 for the course STAT 500 taught by Professor Chow during the Fall '08 term at Penn State.

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HW8 - STAT 500 HW 8 1. Problem 5.80 f. False i. False 2....

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