It has been reported that 40% 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.

a. Population proportion = 0.40b. Sample proportion = 0.35

Explanation:

Question wants to know the population proportion and the sample proportion.

a. Population proportion:

The population in this case is the U.S. workers employed as purchasing managers. The proportion that we are interested in is the 40% that are female.

Population proportion is therefore 0.40.

b. The sample proportion uses the sample details not the population details:

= Number of females employed as Purchasing managers in sample / Number of Purchasing managers in sample

= 70 / 200

= 0.35

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