A pollotarian is a person who eats poultry but no red meat. A wedding planner do
ID: 3360356 • Letter: A
Question
A pollotarian is a person who eats poultry but no red meat. A wedding planner does some research and finds that approximately 3.5% of the people in the area where a large wedding is to be held are pollotarian. Treat the 300 guest expected at the wedding as a simple random sample from the local population of about 200,000.
On average, what proportion of the guests would be expected to be pollotarian, give or take how many? Round to the nearest whole person.
Suppose the wedding planner assumes that 5% of the guests will be pollotarian so she orders 15 pollotarian meals. What is the approximate probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals? Round to the nearest thousandth. Draw a rough sketch of a Normal curve to verify your understanding of the work you have shown.
Explanation / Answer
expcted proportion of the guests would be expected to be pollotarian =0.035
and std error =(p(1-p)/n)1/2 =0.0106
therefore proportion expected to be pollotarian are 0.035 give or take 0.0106
2) probability that more than 5% of the guests are pollotarian =P(X>0.05)=1-P(X<0.05)
=1-P(Z<(0.05-0.035)/0.0106)=1-P(Z<1.4137)=1-0.9213 =0.0787