# Question: Suppose that we have a population with proportion P

Suppose that we have a population with proportion P = 0.25 and a random sample of size n = 200 drawn from the population.

a. What is the probability that the sample proportion is greater than 0.31?

b. What is the probability that the sample proportion is less than 0.14?

c. What is the probability that the sample proportion is between 0.24 and 0.40?

a. What is the probability that the sample proportion is greater than 0.31?

b. What is the probability that the sample proportion is less than 0.14?

c. What is the probability that the sample proportion is between 0.24 and 0.40?

**View Solution:**## Answer to relevant Questions

Suppose that we have a population with proportion P = 0.60 and a random sample of size n = 100 drawn from the population. a. What is the probability that the sample proportion is more than 0.66? b. What is the probability ...A record store owner finds that 20% of customers entering her store make a purchase. One morning 180 people, who can be regarded as a random sample of all customers, enter the store. a. What is the mean of the distribution ...In the previous exercise, suppose that it is decided that a sample of 100 voters is too small to provide a sufficiently reliable estimate of the population proportion. It is required instead that the probability that the ...The annual percentage salary increases for the chief executive officers of all midsize corporations are normally distributed with mean 12.2% and standard deviation 3.6%. A random sample of 81 of these chief executive ...In a large city it was found that summer electricity bills for single-family homes followed a normal distribution with a standard deviation of $100. A random sample of 25 bills was taken. a. Find the probability that the ...Post your question