In: Statistics and Probability
A random sample of size n = 225 is taken from a population with a population proportion P = 0.55. [You may find it useful to reference the z table.]
a. Calculate the expected value and the standard error for the sampling distribution of the sample proportion. (Round "expected value" to 2 decimal places and "standard error" to 4 decimal places.)
b. What is the probability that the sample proportion is between 0.50 and 0.60? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)
c. What is the probability that the sample proportion is less than 0.50? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)