# Question

With reference to Example 12.1, what would have been the probabilities of type I and type II errors if the acceptance region had been x > 16 and the corresponding rejection region had been x ≤ 16?

Example 12.1

Suppose that the manufacturer of a new medication wants to test the null hypothesis θ = 0.90 against the alternative hypothesis θ = 0.60. His test statistic is X, the observed number of successes (recoveries) in 20 trials, and he will accept the null hypothesis if x > 14; otherwise, he will reject it. Find α and β.

Example 12.1

Suppose that the manufacturer of a new medication wants to test the null hypothesis θ = 0.90 against the alternative hypothesis θ = 0.60. His test statistic is X, the observed number of successes (recoveries) in 20 trials, and he will accept the null hypothesis if x > 14; otherwise, he will reject it. Find α and β.

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