In general, when investigating a question of interest, you are not aware of the actual population statistic. However, by taking a simple random sample of an appropriate size, you can make inferences about the entire population. Also, the normal distributions are completely described by two statistics: the mean and the standard deviation. The standard deviation for a sampling distribution is given by sqrt((p(1-p))/n) You used p = 0.20 and n = 100. To be more accurate, would you prefer to use n = 1000? Use the formula to evaluate standard deviations to support your answer.

Adison Rogers

Adison Rogers

Answered question

2022-11-13

In general, when investigating a question of interest, you are not aware of the actual population statistic. However, by taking a simple random sample of an appropriate size, you can make inferences about the entire population. Also, the normal distributions are completely described by two statistics: the mean and the standard deviation. The standard deviation for a sampling distribution is given by
p ( 1 p ) n
You used p = 0.20 and n = 100. To be more accurate, would you prefer to use n = 1000? Use the formula to evaluate standard deviations to support your answer.

Answer & Explanation

Abril Orr

Abril Orr

Beginner2022-11-14Added 14 answers

For accuracy, it is preferred to use n = 1000, because it has less variation from the actual proportion. When n = 100, the standard deviation is 0.013.

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