A student participates in a Coke versus Pepsi taste test. She correctly identifies which soda is which four times out of six tries. She claims that this proves that she can reliably tell the difference between the two soft drinks. You have studied statistics and you want to determine the probability of anyone getting at least four right out of six tries just by chance alone. Which of the following would provide an accurate estimate of that probability?

a. Have the student repeat this experiment many times and calculate the percentage time she correctly distinguishes between the brands.

b. Simulate this on the computer with a 50% chance of guessing the correct soft drink on each try, and calculate the percent of times there are four or more correct guesses out of six trials.

c. Repeat this experiment with a very large sample of people and calculate the percentage of people who make four correct guesses out of six tries.

Question

Scottie

Mathematics

17 August, 13:36

A student participates in a Coke versus Pepsi taste test. She correctly identifies which soda is which four times out of six tries. She claims that this proves that she can reliably tell the difference between the two soft drinks. You have studied statistics and you want to determine the probability of anyone getting at least four right out of six tries just by chance alone. Which of the following would provide an accurate estimate of that probability?

a. Have the student repeat this experiment many times and calculate the percentage time she correctly distinguishes between the brands.

b. Simulate this on the computer with a 50% chance of guessing the correct soft drink on each try, and calculate the percent of times there are four or more correct guesses out of six trials.

c. Repeat this experiment with a very large sample of people and calculate the percentage of people who make four correct guesses out of six tries.

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Answers (1)

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Pearl · Answer 1

C.

Repeat this experiment with a very large sample of people and calculate the percentage of people who make four correct guesses out of six tries

Step-by-step explanation:

Why I choose the answer c is because for this kind of experiment to determine probability ... it needs to be tested on variety of people as different people have different taste issue.

Trying it on one person alone will accumulate much error that will be very hard and uneasy to detect.