# Question 5 explain whether you believe you can

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Question 5. Explain whether you believe you can accurately use a sample size of 500 to de- termine the maximum. What is a specific con of using the maximum as your estimator? Use the histogram above to help answer.
1.5 5. Assessing Gary’s Models Games with Gary Our friend Gary comes over and asks us to play a game with him. The game works like this: We will flip a fair coin 10 times, and if the number of heads is greater than or equal to 5, we win! Otherwise, Gary wins. 13
Question 1 Assign coin_model_probabilities to a two-item array containing the chance of heads as the first element and the chance of tails as the second element under Gary’s model. Make sure your values are between 0 and 1.
Question 2 We believe Gary’s model is incorrect. In particular, we believe there to be a smaller chance of heads. Which of the following statistics can we use during our simulation to test between the model and our alternative? Assign statistic_choice to the correct answer. 1. The distance (absolute value) between the actual number of heads in 10 flips and the ex- pected number of heads in 10 flips (5) 2. The expected number of heads in 10 flips 3. The actual number of heads we get in 10 flips
Question 3 Define the function coin_simulation_and_statistic , which, given a sample size and an array of model proportions (like the one you created in Q1), returns the number of heads in one simulation of flipping the coin under the model specified in model_proportions . Hint: Think about how you can use the function sample_proportions .
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Out[103]: 0.5 In [104]: _ = ok . grade( ' q5_3 ' ) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Running tests --------------------------------------------------------------------- Test summary Passed: 1 Failed: 0 [ooooooooook] 100.0% passed Question 4 Use your function from above to simulate the flipping of 10 coins 5000 times under the pro- portions that you specified in problem 1. Keep track of all of your statistics in coin_statistics .