10.104 Crossover study The table summarizes results of a crossover study to compare results of low-dose and high-dose analgesics for relief of menstrual bleeding

(B. Jones and M. Kenward, Statistics in Medicine, vol. 6, 1987, pp. 555–564).

a. Find the sample proportion of successes for each dose of the analgesic.

b. Find the P-value for testing that the probability of success is the same with each dose, for a two-sided alternative. Interpret. What assumptions does this inference make?

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Low Dose Success High Dose Failure Success 53 8 Failure 16 9