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Abstract

We decided to conduct an observational study that compared the proportion of students who preferred pepperoni as their favorite pizza topping to the proportion of teachers who preferred pepperoni as their favorite pizza topping at North Olmsted High School.

We decided to make a random sample of all the teachers and all of the students.  After selecting 10 teachers and 60 students we sent them all a survey that inquired about their preference on pizza toppings.  We listed eight choices with an others option and had them write what grade they were in.  We hoped that all would return the survey but expected that some would not.

After getting most of the surveys back we compiled the data in Minitab.  We used a two proportion z-test.  However we found that our sample size times the proportion was not greater than or equal to 10 for teachers, so we could not make a valid conclusion.  If our test had been valid, our p-value would have been greater than alpha so we would fail to reject.  Therefore we would have insufficient evidence to conclude that the proportion of students who preferred pepperoni as their favorite pizza topping was greater than the proportion of teachers who preferred pepperoni as their favorite pizza topping.