Sections 1 4 4 and 1 4 5 found binomial P values for a clinical trial with y 9 successes in 10 trials Suppose instead y 8 Using the binomial distribution shown in Table 1 2 a Find the P value for (i) Ha 0 50, (ii) Ha 0 50 b Find the mid P value for (i) Ha 0 50, (ii) Ha 0 50 c Why is the sum of the one sided P values greater than 1 0 for the ordinary P value but equal to 1 0 for the mid P value

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Question: Sections 1.4.4 and 1.4.5 found binomial P-values for a clinical trial with y = 9 successes in 10 trials. Suppose instead y = 8. Using

Sections 1.4.4 and 1.4.5 found binomial P-values for a clinical trial with y = 9 successes in 10 trials. Suppose instead y = 8. Using the binomial distribution shown in Table 1.2:

a. Find the P-value for (i) Ha:π > 0.50, (ii) Ha:π < 0.50.

b. Find the mid P-value for (i) Ha:π > 0.50, (ii) Ha:π < 0.50.

c. Why is the sum of the one-sided P-values greater than 1.0 for the ordinary P-value but equal to 1.0 for the mid P-value?

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