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    Sampling error and sample size

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    Assume the following data represent a population of 50 values. Values equal
    to 1 indicate that a particular attribute is present, a value equal to 0 indicates the attribute is not present.

    1 1 1 1 1 1 1 1 0 0
    0 1 1 0 0 1 1 1 0 1
    0 1 1 1 1 1 1 1 1 0
    1 1 1 1 1 1 1 0 1 1
    0 1 1 1 1 1 1 1 1 1

    a. Compute the population proportion.
    b. A random sample of 15 items produced the following numbers: 1 1 1 0 0 1 0 0 1 1 0 0 0 1 0. Compute the sample proportion and the sampling error present in your sample.
    c. What is the range of extreme sampling error for a sample of 15 taken from this population?
    d. How would the range of extreme sampling error change if the sample size was set to 30? Discuss the advantages of having a larger sample size.

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    https://brainmass.com/statistics/sample-size-determination/31100

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    In this solution we show how sampling error is related to sample size when estimating a population proportion.

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