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6.2. Suppose an investigator tests for effects of fertilizer on yields of 2 type

ID: 3326126 • Letter: 6

Question

6.2. Suppose an investigator tests for effects of fertilizer on yields of 2 types of crops: and corn. He used 200 plots. The fertilizer effects have 2 levels: positive or negative. result is presented as follows in a contingency table. Fertilizer Effect Positive Negative Crop Wheat Corn 35 60 _ 112 lou2o Let event A-Positive B-Wheat a. What is P (A)? b. c. What is P (A/B)? d. What is P (B/A)? 66 - What is P (l or B)? Are A & B independent? Why? e. Whatis P(A or B)?O e. f. Sh1 compute the Z score for

Explanation / Answer

a) P(A) = Total positive/total tested

P(A) = 100/200 = 0.5

b) P(B) = Total Wheat/total tested

P(B) =75/200 = 0.375

c) P(A/B) = P(A B)/P(B)

P(A B) this means Positives as well as wheat which is 35 in given table

P(A/B) = 35/75 = 0.467

d)

P(B/A) = P(B A)/P(A)

P(A/B) = 35/100 = 0.35

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