The candy company that makes M&M's claims that 10% of the M&M's it produces is green. Suppose that the candies are packaged at random in large bags of 200 M&M's. When we randomly pick a bag of M&M's, we may assume that this represents a simple random sample of size n = 200. Suppose we wish to test H0: p = 0.10 versus Ha: p 0.10. 1. Under the null hypothesis, what is the value of the standard error of , the sample proportion of green M&M's in a bag of 200?
a. 0.0015.
b. 0.021.
c. 0.09.
d. 18 7.
2. Suppose that in the randomly selected bag of M&M's there are only 12 green M&M's. What is the value of the large-sample z statistic?
a. Z = -1.886.
b. Z = -0.444.
c. Z = 1.886.
d. Z = 0.444 8.
3. What is the value of the corresponding P-value?
a. P-value = 0.0297.
b. P-value = 0.0593.
c. P-value = 0.06 d.
d. P-value = 0.3284.