Suppose 60% of a population of part-time college students is female. In a simulation, we collected thousands of random samples from a population of part-time college students. What is the mean of the sample proportions?

Explanation: The mean of the sample proportions that will be obtained from simulating thousands of random samples from a population of college student will be 0.6. This is so because :

The random sample obtained for use in the simulation were randomly selected from the population of college students. Randomized selection from the population will provide an unbiased selection of students used in the sample Therefore giving a good approximate representation of the population proportion.

Also, the size of the sample population impacts the ability of the sample statistics to generalize on the population data. The larger the size of the random samples adopted, the closer our approximation about the population. Here, with a random sample size running to thousands, the mean of the sample proportion will be just as close or equal to the population proportion.

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