Section 1.4.3 found binomial P-values for a clinical trial with y = 9 successes in 10 trials.

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Section 1.4.3 found binomial P-values for a clinical trial with y = 9 successes in 10 trials. Suppose instead y = 8. Using software or the binomial distribution shown in Table 1.1:

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?

d. Using software, find the 95% confidence interval based on the binomial test with the mid P-value.

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