CPM Homework Help : INT3 Problem 8-20

A survey of $1024$ people found that $580$ of them eat chicken soup when they have a cold or the flu. Based on this information, a chicken soup distributor concluded that a majority of the population believes that chicken soup helps relieve cold and flu symptoms. A computer simulation found the margin of error to be $3\%$ . Does the conclusion seem reasonable? Why?

Hint:

What percent of the population eats chicken soup when they have a cold or the flu?

If you add and subtract the margin of error from the percentage of people who eat chicken soup when they have a cold or the flu, is your answer greater than $50\%$ ?