The Pizza Place surveyed a random 50 people in their community about their favorite pizza type. Of those surveyed, 27 said that mushroom was their favorite type of pizza. There are actually 1,500 people that live in the neighborhood around The Pizza Place. Based on the data, what is the most reasonable estimate for the number of people in the community whose favorite type of pizza is mushroom?

Step-by-step explanation:

Because there was a random sample taken that showed that 27 out of 50 people stated that mushroom was their favorite type of pizza, we can use this survey to infer information about the community.

If we find the proportion of people who like mushroom as their topping of choice we can take that proportion to generalize about the community. This proportion is found below:

27 people who like pizza divided by the total number of people in the random sample. 27/50 =.54 of 54% of the people surveyed like mushroom on their pizza.

We take the sample proportion, and apply it to the population.

(1500 people) * (.54) = 810

Given the information stated about the number of people in the given random sample that found that 27 out of 50 people said mushroom was their favorite pizza topping, we can reasonably infer that the number of people in the community whose favorite topping is mushrooms on their pizza to be roughly 810 people.