Clinical trial proplem

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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?