Vegetable farmers try to avoid the use of insecticides because of expense and health hazards. However, if crops become too heavily infested, it becomes necessary to spray them. Suppose a farmer decides that she will spray her cabbages if their infestation with moth larvae is significantly greater than 20%.
a. If the farmer samples the crop to determine the percentage of infested cabbages, what is the null hypothesis?
b. What is the most logical choice for the alternative hypothesis? Why?
c. For n = 20 and a as close to 0.05 as possible, choose the region of rejection that is consistent with the alternative hypothesis.