A local pizza restaurant surveyed a random sample of 150 people that live in their town about their favorite type of pizza. Of the people surveyed, 40 said that pepperoni pizza was their favorite type of pizza. There are 2,800 residents that live in the town. Based on the data, is 750 a reasonable estimate for the number of residents in the town whose favorite pizza is p

Respuesta :

Answer:

756 is a reasonable estimate because the proportion of the sample whose favorite pizza is pepperoni is about 27 %

Step-by-step explanation:

given data

random sample = 150 people

favorite pepperoni pizza = 40

total of residents = 2800

number of residents favorite pizza = 750

solution

we get here first Proportion favorite pizza that is

Proportion = [tex]\frac{40}{150}[/tex]

Proportion = 0.27 = 27%

and now we get 27% of total of residents that is = 27% × 2800  

= 756

so we can say  756 is a reasonable estimate because here proportion of an sample whose favorite pizza are pepperoni pizza about 27 %