8.8 In a greenhouse there are seedlings that are going to be transplanted later and that are being attacked by a discase. It has been decided to apply a treatment if more than 25% of the seedlings are affected. Assume that the number of seedlings is large enough that a Binomial model can be used and that the sample size is 16. a) Establish the hypothesis game if pertinent to the problem. b) Find a decision rule that defines a test with significance level a = 0.0795. c) Suppose that of the 16 plants examined, 9 are attacked by the discase. With 0.0795, would we decide to apply the treatment? d) What is the observed level of significance if 9 attacked plants are found? If 5 affected plants are found?

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8.8

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Use the hypothesis H0: p<= 0.25 vs Ha: P>0.25

 

8.8 In a greenhouse there are seedlings that are going to be transplanted later and
that are being attacked by a discase. It has been decided to apply a treatment if
more than 25% of the seedlings are affected. Assume that the number of seedlings
is large enough that a Binomial model can be used and that the sample size is 16.
a) Establish the hypothesis game if pertinent to the problem.
b) Find a decision rule that defines a test with significance level a = 0.0795.
c) Suppose that of the 16 plants examined, 9 are attacked by the discase. With
a = 0.0795, would we decide to apply the treatment?
d) What is the observed level of significance if 9 attacked plants are found? If 5
affected plants are found?
Transcribed Image Text:8.8 In a greenhouse there are seedlings that are going to be transplanted later and that are being attacked by a discase. It has been decided to apply a treatment if more than 25% of the seedlings are affected. Assume that the number of seedlings is large enough that a Binomial model can be used and that the sample size is 16. a) Establish the hypothesis game if pertinent to the problem. b) Find a decision rule that defines a test with significance level a = 0.0795. c) Suppose that of the 16 plants examined, 9 are attacked by the discase. With a = 0.0795, would we decide to apply the treatment? d) What is the observed level of significance if 9 attacked plants are found? If 5 affected plants are found?
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