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Here, we introduce the mean and standard deviation of the sampling distribution of p and the relationship between the sampling distribution of p and the normal distribution.

Sampling Distribution of p

Answers


  1. The distribution of the mean number of successes
    The sampling distribution of p is the distribution of the mean number of successes. It has a mean equal to the population proportion.

  2.  .75
    The mean of the sampling distribution of p is equal to the population proportion. It is 225/300 = .75.

  3.   .137
    The standard error of p = sqrt[p(1-p)/N] = sqrt[(.75)(.25)/10] = .137