According to a Gallup poll, 45% of Americans actively seek out organic foods when shopping. Suppose a random sample of 500 Americans is selected and the proportion who actively seek out organic foods is recorded.

a. What value should we expect for the sample proportion?

b. What is the standard error?

c. Use your answers to parts a and b to complete this sentence: We expect _____% of Americans to actively seek out organic foods when shopping, give or take _____%.

d. Would it be surprising to find a sample proportion of 55%? Why or why not?

e. What effect would decreasing the sample size from 500 to 100 have on the standard error?