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Consider Sampling from a Population Whose Proportion of Successes Is p=0.5p = 0.5

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Consider sampling from a population whose proportion of successes is p=0.5p = 0.5 . As the sample size, nn , increases, some characteristics of the sampling distribution of change. Which of the following characteristics will change as nn increases, and what is the nature of the change?
a) The mean of the sampling distribution of p^\hat { p }
b) The standard deviation of the sampling distribution of p^\hat { p }
c) The shape of the sampling distribution of p^\hat { p }

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a) No change in the mean
b) Th...

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