Suppose That $15 \%$ Of All Students at Your School Ride a Bicycle to Ride

Essay

Suppose that $15 \%$ of all students at your school ride a bicycle to class each day. Suppose further that you take a random sample of 80 students at your school.
a. Is $15 \%$ number a parameter or a statistic? Explain briefly.
b. Are you guaranteed that $15 \%$ of your sample ride a bicycle to class each day? Explain briefly.
c. Describe the sampling distribution of the sample proportion of these 80 students who ride a bicycle to class each day. (Hint: Be sure to refer to the shape, center, and spread of this sampling distribution.) Also include a well-labeled sketch of this distribution.