Example 1
a high school principal claims that 50% of the school’s students walk to school in the morning. a student attempts to verify the principal’s claim by taking a random sample of 40 students
and asking them if they walk to school in the morning. sixteen of the sampled students say they usually walk to school in the morning, giving a sample proportion of
16/40=0.40 which seems to dispel the principal’s claim of 50%. but could the principal be correct that the proportion of all students who walk to school is 50%?
a. make a conjecture about the answer.
b. develop a plan for how to respond.
the student make a decision on the principal’s claim by investigating what kind of sample proportions you would expect to see if the principal’s claim of 50% is true.
you will do this by using technology to simulate the flipping of a coin 40 times.