Sample Determination
Message posted by Highly confused!!!! on November 19, 2000 at 12:00 AM (ET)

Hello,

I posted this question earlier and received a response.
However, I still need help regading this problem. Can you
please show me how you would work out the
problem. Then that way, I will see the prodecure
and better conceptualize the topic.

I need help with this problem.

It's five years after graduation and you are becoming well known in your
field.
An association of which you are a member has asked for your help.
They want to survey
members about the number of topics, but two questions are most
important. The first is whether
or not the membership would vote to approve $50 per year increase in
annual class. The second is to estimate the
number of weekends members have free each year for participation in
continuing education sessions.

Here is some information you need to estimate sample size for a simple
random sample:

N=20,000
A=accuracy=95%=3.84
B=booumd on your estimate=3% for the yes/no question and +-6 for the
number of weekends

Using the formula n=Npq / (N-1) D + pq, where D=Bsqaured/A

and the formula n=N Sigma squared / (N-1) D + Sigma squared, where
again D = Bsquared/A

Estimate how large a sample size you would need to collect via a
simple random sample of members in
order to estimate approval of an increase in dues and number of free
weekends with the desired accuracy and
sampling bound.

If you come up with more than one sample size, what do you
recommend and why?