In the population of people in the United States, about 10% are left handed. After bumping elbows
Question:
In the population of people in the United States, about 10% are left handed. After bumping elbows at lunch with several left-handed students, Simon wondered if more than 10% of students at his school are left-handed. To investigate, he selected an SRS of 50 students and found 8 lefties (p̂ = 8/50 = 0.16).
To determine if these data provide convincing evidence that more than 10% of the students at Simon’s school are left-handed, 200 trials of a simulation were conducted. Each dot in the graph shows the proportion of students that are left-handed in a random sample of 50 students, assuming that each student has a 10% chance of being left handed.
a. State appropriate hypotheses for performing a significance test. Be sure to define the parameter of interest.
b. Use the simulation results to estimate the P-value of the test in part (a). Interpret the P-value.
c. What conclusion would you make?
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