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.

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

Write an equation for the function that includes the points (2,100)and (3,100)

Find the value of x. give reasons to justify your solutions! l, m ∈ kn