Sweet Treats candy company wants to introduce a new flavor of jelly bean. They have three choices: Mango, Papaya, or Coconut. They decide to do a survey to determine which flavor their customers prefer. A random sample of 100100100 Sweet Treats customers tried a free sample of all three flavors. The data showed that 55% preferred Mango, 20% preferred Papaya, and 25% preferred Coconut.

Based on this data, which of the following conclusions are valid?

A) 55% of customers in this sample prefer Mango, but we cannot conclude anything about the population.

B) About 55% of all Sweet Treats customers prefer Mango.

C) About 55%of all adults prefer mango

Question

Mathematics

Cornelius Wilkinson

25 October, 22:19

Sweet Treats candy company wants to introduce a new flavor of jelly bean. They have three choices: Mango, Papaya, or Coconut. They decide to do a survey to determine which flavor their customers prefer. A random sample of 100100100 Sweet Treats customers tried a free sample of all three flavors. The data showed that 55% preferred Mango, 20% preferred Papaya, and 25% preferred Coconut.

Based on this data, which of the following conclusions are valid?

A) 55% of customers in this sample prefer Mango, but we cannot conclude anything about the population.

B) About 55% of all Sweet Treats customers prefer Mango.

C) About 55%of all adults prefer mango

+4

Answers (1)

Know the Answer?

Natalee Bernard · Answer 1

If 100 customers tried free samples:

(.55) (100) = 55 customers preferred mango

(.20) (100) = 20 customers preferred papaya

(.25) (100) = 25 customers preferred coconut

B is not correct because we do not know that all of the customers prefer mango, since we only have a sample of 100 people, not the whole population.

C is not correct because it does not specify that the customers are only adults.

Therefore, A is the correct answer because 55 people in this sample preferred mango, but we don't know about the rest of the population who was not tested.