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Suppose we wish to test H0:p≤0.3H0:p≤0.3 vs HA:p>0.3HA:p>0.3 where pp is a binomial parameter. If XX...

Suppose we wish to test H0:p≤0.3H0:p≤0.3 vs HA:p>0.3HA:p>0.3 where pp is a binomial parameter. If XX represents the number of successes in 8080 trials, and the null hypothesis is rejected whenever X≥30X≥30, calculate:

a) αα, the probability of type I error.

b) ββ, the probability of type II error when pp = 0.380.38, and the power of the test.

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