This document discusses conditions for determining whether the sampling distribution of a population proportion (p) can be approximated as normal. It provides examples checking the conditions of np, n(1-p), and sample size (n) being greater than 30 for populations with different percentages of a disease (p=2% and p=90%) and different sample sizes (n=44, 542). It also discusses a case where the population size is less than the sample size. The last question notes that the previous section established a sample size of 30 or more is enough to use the normal distribution, while these problems deal with quantitative rather than qualitative variable information.

1. Assume you have a population of 29000 people where 2% of the population has some particular
disease. List the given numeric information along with the correct symbols. =29000=2%a) If you
take a sample of size 44 , can we say that the sampling distribution of p is approximately normal?
Why or why not? Check conditions: 1. np= which 2. n(1p)= 3. and N=Can we say that the
sampling distribution of p is approximately normal in this case? (If the answer is no, state the first
conditions in the list above that failed)b) Redo part a assuming p has increased to 90%. Check
conditions: 1. np= which 2. n(1p)= 3. and N=Can we say that the sampling distribution of p is
approximately normal in this case? (If the answer is no, state the first conditions in the list above
that failed) Select an answer ) Yes, since all 3 conditions check out population where p is 2%, can
we sa dis No, since the first condition did not check out No, since the second condition did not
check out No, because the third condition did not check outc) If you take a sample of size 542
from the original population where p is 2%, can we say that the sampling distribution of p is
approximately normal? Why or why not? Check conditions: 1. np= which 2. n(1p)= 3. and N=Can
we say that the sampling distribution of p is approximately normal in this case? (If the answer is
no, state the first conditions in the list above that failed) d) 12 people in it.d) Redo part c assuming
the population only has 9212 people in it. Check conditions: 1. np= which 2. n(1p)= 3. and N=Can
we say that the sampling distribution of p is approximately normal in this case? (If the answer is
no, state the first conditions in the list above that failed) as large enough to use the normal
distribue) In the last section a sample size of at least 30 was large enough to use the normal
distribution to compute probabilities. How are the problems in this section different? Select an
answer Select an answer The variable information collected from each individual is now qualitative
instead of quantitative The variable information collected from each individual is now quantitative
instead of qualitative It does not matter what variable information is collected from each individual,
the conditions to check are always the same