A sociologist claims the probability that a person picked at random in Grant Park in Chicago is visiting the area is 0.41. You want to test to see if the proportion different from this value.
To test the hypothesis that the proportion is different from the given value, a random sample of 17 people is collected.
If the number of people in the sample that are visiting the area is anywhere from 6 to 10 (inclusive) , we will not reject the null hypothesis that p=p=0.41.
Otherwise, we will conclude that p≠p≠0.41.
1. Calculate a = P (Type I error) assuming that p = 0.41
2. Calculate β - P (Type II error) for the alternative p - 0.49.
3. Find the power of the test for the alternative p - 0.49