Question

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 pepperoni?

A) No, because the proportion of the sample whose favorite pizza is pepperoni is about 27%.

B) Yes, because the proportion of the sample whose favorite pizza is pepperoni is about 27%.

C) No, because the proportion of the sample whose favorite pizza is pepperoni is about 40%.

D) Yes, because the proportion of the sample whose favorite pizza is pepperoni is about 40%.

Answer 1

B

Explanation:

it will be very clear

Answer 2

B) Yes, because the proportion of the sample whose favorite pizza is pepperoni is about 27%.

Explanation:

From data of survey we can estimate the proportion of the sample whose favorite pizza is pepperoni. That is 40 (say pepperoni is the favorite) from 150 (total of sample).

Proportion would be
`(40)/(150)=0.27` that is 27%.

Now we can calculate 27% of total of residents (2,800). We should multiply 27% by 2,800.

`0.27*2,800=756` which is close to 750.

So we can conclude that yes, 750 is a reasonable estimate because the proportion of the sample whose favorite pizza is pepperoni is about 27%