Part 1D: Check your understanding: Exploring Example Data

Use the above Psychic App to check your understanding

Name (if more than one name, separate each name with a comma)

Instructor's Email

Enter the Player ID you used to play the game

A. Looking at the histogram shown using Settings A, how many people used the Group ID, “sample1”
5 20 23 26

B. What proportion of the sample1 players got the correct card 4 or more times? If you are not sure, you can use the “as extreme as” slider on the left side of the app and then find the probability shown for our sample data.
0.00 0.04 0.05 0.10

C. What proportion of the sample1 players got every guess wrong?
0.00 0.03 0.17 0.40

D. What is the chance of getting a correct answer in each round?
1 out of 2 = 50% 1 out of 3 = 33% 1 out of 4 = 25%
1 out of 5 = 20%

E. Assuming a person has no special abilities, how many rounds would they correctly guess
We would expect each person to get exactly 20% correct, thus each person should get exactly 2 correct guesses in 10 rounds. Due to random chance, we would expect each person to get about 20% correct. Thus, while most people would likely get 2 out of 10 correct, some would get a few less and others would get a few more

F. If you have taken a statistics class, you may have heard of the binomial distribution. Clicking this option will show us the theoretical probabilities. This means that if thousands of players (with no special abilities) had played the game under these conditions, we can see how likely it is to get a certain outcome. Assuming that only random chance is involved, how likely is it for a person to get 4 or more correct? Based on the binomial distribution, which of the following statements is true?
We would expect no people to get 4 or more correct. We would expect 3% of people to get 4 or more correct. We would expect 12% of people to get 4 or more correct.