# Question 1 assign to a two item array containing the

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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 . In [25]: def coin_simulation_and_statistic (sample_size, model_proportions): return (sample_size * sample_proportions(sample_size,model_proportions)[ 0 ]) coin_simulation_and_statistic( 10 , coin_model_probabilities) Out[25]: 8.0 10
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 .
Let’s take a look at the distribution of statistics, using a histogram.
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Question 5 Given your observed value, do you believe that Gary’s model is reasonable, or is our alternative more likely? Explain your answer using the distribution drawn in the previous problem.
1.6 6. Submission Once you’re finished, select "Save and Checkpoint" in the File menu and then select "Download as" from the File menu, choosing "Notebook" and then "PDF". Upload the Notebook (.ipynb) into Gradescope and upload the PDF to Moodle under the HW5 assignment. 12