Otto makes and sells sauerkraut. He thinks that red cabbage ferments faster than green cabbage because it has a higher concentration of nutrients. Otto knows that about 57% of the time green cabbage begins fermenting in 3 days. He monitors 100 batches of red cabbage and finds that 70% of them began fermenting in three days. Use this information to answer the following questions.

1. What would it mean for Otto to make a Type I error in the context of his research question? What would it mean for him to make a Type II error?
2. What does the power of Otto's test refer to in this scenario?
3. Does Otto have evidence that red cabbage is more likely than green cabbage to ferment in 3 days?
4. What are Otto's confidence intervals? What do they tell us about the effect size of Otto's effect?