ABSTRACT
Much money and time would be spent with further testing on an ineffective drug.
8.5 a. α = probability of rejecting H0 when H0 is true
∑( )= ≥ = = − ≤ = − = − = =
P Y p P Y p y6 if 0.1 1 ( 5) 1 ( ) 1 0.9666 0.0334 y 0
Note: p y( ) is found using Table 2, Appendix B, with =n 25 and =p 0.1 b. β = probability of accepting H0 when H0 is false
∑( )= ≤ = = = =
P Y p p y5 if 0.2 ( ) 0.6167 y 0
Note: p y( ) is found using Table 2, Appendix B, with =n 25 and =p 0.2 The power of the test = − β = − =1 1 0.6167 0.3833. c. β = probability of accepting H0 when H0 is false
∑( )= ≤ = = = =
P Y p p y5 if 0.4 ( ) 0.0294 y 0
Note: p y( ) is found using Table 2, Appendix B, with =n 25 and =p 0.4 The power of the test = − β = − =1 1 0.0294 0.9706. 8.7 Answers will vary. Suppose Y is a normal random variable with standard
deviation σ = 2. A random sample of size 100 is drawn from the population and we want to test µ =H : 200 against the alternative µ >H : 20a . The standard deviation of y is σ =
σ = =
n 2 100
0.2y .
