1. A population has a proportion equal to 0.30. Calculate the following probabilities with n = 100:
a. P(p 0.35)
b. P(p > 0.40)
c. P(0.25 p 0.40)
d. P(p > 0.27).
2. If a random sample of 200 items is taken from a population in which the proportion of items having a desired attribute is p = 0.30, what is the probability that the proportion of successes in the sample will be less than or equal to 0.27?
3. The proportion of items in a population that possess a specific attribute is known to be 0.70.
c. If a simple random sample of size n = 100 is selected and the proportion of items in the sample that contain the attribute of interest is 0.65, what is the sampling error?
d. Referring to part a, what is the probability that a sample of size 100 would have a sample proportion of 0.65 or less if the population proportion is 0.70?