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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 100 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?
Choose 1 answer:
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.

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 100100 Sweet Treats customers tried a free sample of all three flavors. The data showed that 55% 55 \% preferred Mango, 20% 20 \% preferred Papaya, and 25% 25 \% preferred Coconut.\newlineBased on this data, which of the following conclusions are valid?\newlineChoose 11 answer:\newline(A) 55% 55 \% of customers in this sample prefer Mango, but we cannot conclude anything about the population.\newline(B) About 55% 55 \% of all Sweet Treats customers prefer Mango.\newline(C) About 55% 55 \% of all adults prefer mango.

Full solution

Q. 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 100100 Sweet Treats customers tried a free sample of all three flavors. The data showed that 55% 55 \% preferred Mango, 20% 20 \% preferred Papaya, and 25% 25 \% preferred Coconut.\newlineBased on this data, which of the following conclusions are valid?\newlineChoose 11 answer:\newline(A) 55% 55 \% of customers in this sample prefer Mango, but we cannot conclude anything about the population.\newline(B) About 55% 55 \% of all Sweet Treats customers prefer Mango.\newline(C) About 55% 55 \% of all adults prefer mango.
  1. Question Prompt: Question_prompt: Determine which conclusion is valid based on the survey data from Sweet Treats candy company.
  2. Calculate Percentages: Calculate the percentage of customers who preferred each flavor.\newlineMango: 55%55\%\newlinePapaya: 20%20\%\newlineCoconut: 25%25\%
  3. Analyze Options: Analyze the options given:\newlineA) 55%55\% of customers in this sample prefer Mango, but we cannot conclude anything about the population.\newlineB) About 55%55\% of all Sweet Treats customers prefer Mango.\newlineC) About 55%55\% of all adults prefer mango.
  4. Consider Sample Data: Understand that the data is from a sample of 100100 customers, not the entire population of Sweet Treats customers or all adults.
  5. Recognize Limitations: Recognize that we can't make conclusions about the entire population or all adults based on a sample.
  6. Choose Correct Answer: Choose the correct answer based on the analysis.\newlineThe correct answer is A) 55%55\% of customers in this sample prefer Mango, but we cannot conclude anything about the population.

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