1. Researchers often use alternative forced choice procedures to assist in the evaluation of subjects they suspect are exaggerating their health issues. For example, some patientsclaim to have lost their sense of smell. To investigate this claim,suppose thatthe University of Pennsylvania Smell Identification Test (UPSIT)wasadministered. Thistest consists of40different smells that are released when scratched.The individual being tested must identify each of the 40smells by choosing an answer fromfourpossible options. For example, a typical question on this test looks like this.

This scent smells most like...

1. Fruit
2. Cinnamon
3. Wood
4. Coconut

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Only one of thefouroptions is correct, and the individual is required to answer each question (even if theymustguess).Their score onthe testis determined by counting how many of the40questions they get correct.To determine what outcomes(or scores)we expect to seeby chancewhen a patienthas truly lost their sense of smelland is therefore guessingon each of the 40questions, we will carry out a simulationstudy. Answer the following questions regarding the set-up of the simulation study.

1. Set up a simulation study that would help us understand what scores are expected by chance if the patient is really guessing.Use the applet, and copy/paste yoursimulation setupbelow.(2 pts)

1. What is theexpectednumber of correct answers a subject would give if guessing on each of the40questions? (2pts)

1. Carry out a simulation study usingthe appletto determinewhat scores are expected by chance if the patient is really guessing.In the end, you should have a graph showing the results of1,000runs of the simulation. Copy and paste this dot plot below. (1pt)
2. Clearly describe whateachdot on thedotplotsummarizing your simulated resultsrepresents.
3. Suppose thatin one study,apatientwho is suspected of faking their olfactory lossgotonly8ofthe40questionscorrect. Based on the results ofyoursimulation study,doesthis outcome providestatistical evidence that thispatientisfaking their olfactory lossbyanswering wrong on purpose?Explain yourreasoning, andbe sure touse the results of the simulation study in your explanation. (2 pts)