Problem: In a sample of 100 wine consumers, 20 thought that screw tops were an acceptable substitute for natural corks. Suppose a particular winery decided to use screw tops for one of its wines unless there was strong evidence to suggest that fewer than 25% of wine consumers found this acceptable.
a. Using a significance level of 0.05, what would you recommend to the winery? Write down the hypothesis and show all steps for testing the hypothesis.
b. For the hypothesis describe in (a) describe what the type I and II errors would be?