a local pizza restaurant surveyed a random sample of 150 people that live in their town about their favorite…

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%.

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

Explanation:

Step1: Calculate sample proportion

The proportion of the sample that likes pepperoni pizza is $\frac{40}{150}\approx 0.267\approx 27%$.

Step2: Estimate number for town

Estimated number of town - residents who like pepperoni pizza is $0.267\times2800 = 747.6\approx750$.

Answer:

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