Question

suppose that an allergist wishes to test the hypothesis that 30% of the public is allergic to some cheese products. what must the alternative hypothesis be if the allergist commits a type ii error by incorrectly concluding that 30% or more of the population is allergic to cheese products?

Answer 1

The alternative hypothesis in this scenario would be that less than 30% of the public is allergic to some cheese products, which would be the correct conclusion if a Type II error is made.

Step-by-step explanation:

The alternative hypothesis must be that less than 30% of the public is allergic to some cheese products. A Type II error occurs when a false null hypothesis is not rejected. In this case, the null hypothesis is that 30% or more of the population is allergic to cheese products. So, if an allergist commits a Type II error by incorrectly concluding that 30% or more of the population is allergic to cheese products, it means the true allergy rate is less than 30% but the test failed to show this.