# Sampling Distribution of Proportion:Female purchase managers

SEE ATTACHED FILE - Error of the Sample Proportion

It has been reported that 42.6% of U.S. workers employed as purchasing managers are females. In a simple random sample of U.S. purchasing managers, 70 out of the 200 are females. Given this information:

a. What is the population proportion, π?

b. What is the sample proportion, p?

c. What is the standard error of the sample proportion?

d. In the sampling distribution of the proportion, what is the probability that a sample of this size would result in a sample proportion at least as large as that found in part (b)?

NOTE: Please use an Excel spreadsheet for response. Please do not just

provide the answers but show in complete detail how you arrived at the

answer, step-by-step, from the beginning to the end of the solution.

(8.25)

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#### Solution Summary

The solution provides step by step method for the calculation of probability using the Z score. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.