Refer to Exercise 85. a. Suppose that H 0 : p = 0.08 is true. Describe the
Question:
Refer to Exercise 85.
a. Suppose that H0: p = 0.08 is true. Describe the shape, center, and variability of the sampling distribution of p̂ in random samples of size 500.
b. Use the sampling distribution from part (a) to find the value of p̂ with an area of 0.05 to the right of it. If the supervisor obtains a random sample of 500 potatoes with a sample proportion of defective potatoes greater than this value of p̂, he will reject H0: p = 0.08 at the α = 0.05 significance level.
c. Now suppose that p = 0.11. Describe the shape, center, and variability of the sampling distribution of p̂ in random samples of size 500.
d. Use the sampling distribution from part (c) to find the probability of getting a sample proportion greater than the value you found in part (b). This result is the power of the test to detect p = 0.11.
Step by Step Answer:
Exercise 85 A quality control supervisor randomly selects 500 potatoes from a shipment and finds that 60 of them are defective Based on the sample he ...View the full answer
