Assume we know that 20% of Americans suffer from a certain type of allergy. Suppose we take a random sample of 8000 Americans and record the percentage who suffer from this allergy. What guarantees that percentages from such a survey will be normally distributed?
A)The law of large numbers
B)The general survey theorem
C)The central limit theorem
D)The law of survey

Question

Quizplus · Accepted Answer

The central limit theorem guarantees that the sample means will be normally distributed, even if the population distribution is not normal, as long as the sample size is sufficiently large (usually n > 30). In this case, we have a sample size of 8000, which is more than enough to satisfy this condition. Therefore, we can assume that the percentages from this survey will be normally distributed.

Assume We Know That 20% of Americans Suffer from a Certain