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?
Responses
A No, because the proportion of the sample whose favorite pizza is pepperoni is about 40%.No, because the proportion of the sample whose favorite pizza is pepperoni is about 40%.
B No, because the proportion of the sample whose favorite pizza is pepperoni is about 27%.No, because the proportion of the sample whose favorite pizza is pepperoni is about 27%.
C Yes, because the proportion of the sample whose favorite pizza is pepperoni is about 40%.Yes, 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 27%.
B No, because the proportion of the sample whose favorite pizza is pepperoni is about 27%.
Explanation: To estimate the number of residents in the town whose favorite pizza is pepperoni, we cannot simply use the proportion from the sample, which is about 27%. We need to make assumptions about the population and use statistical methods to calculate a confidence interval or margin of error. Without this information, it is not reasonable to estimate that exactly 750 residents prefer pepperoni pizza.