Statement of the Problem:

   We are researching the the working habits of an average high schooler because every member in our research group has a job, but we all have different working habits. We wanted to see what were the working habits of the other students in our school, to see what were the the more common habits. We want to see how many students in our school, North Olmsted High School, have jobs, earn minimum wage, and work more than 20 hours. We are taking the same number of surveys from each grade level, and combining them to see exactly how many students fit into each category for the whole population. Some key issues that were raised are that the lower class students are not going to fit into the categories as well as the upperclassmen because they are not old enough to have jobs yet and can only work a certain amount of  hours a week. We did take this into consideration, but this will help show the diversity in working habits of the entire school. We could also have some extraneous factors because there might not be that many places around North Olmsted that employ students, which would give our data lower results. Luckily, there are many places in and around North Olmsted that higher our age group.

Abstract:

    Through this study we wanted we wanted to determine the working habits of North Olmsted teenage workers. We obtained our sample by creating three questions asking on the topic of  working habits, and sent them out to a random sample of 250 students. When we got the questions back we organized them and put the data into minitab to calculate the proportions. We did this by using the two-proportion test for each question.

Our first question was “Do you have a paying job?”  This was to determine if more than half of the North Olmsted High School students have jobs. We put this into minitab and did a two proportion Z-test to see if there was significant evidence that there were more than half of the students have paying jobs. We then created a graph of our data.

Our second question was “Do you make minimum wage, or more than minimum wage?” This question was to determine if there were more people who make minimum wage rather than more than minimum wage. We also put this data into minitab and did a two proportion Z-test to see if there was significant evidence to say that there more students who make minimum wage rather than less than. After we got our data we graphed it and put it into a pie chart.

Our third question was “What is the average amount of hours you work a week? More than 20 hours, or less than 20 hours?” This was to determine if there was significant evidence to say there were more people who worked more than 20 hours than less than 20 hours. We also used a two proportion Z-test to test for the significance. After we got our data we graphed it into a pie chart.

We did have some weaknesses to our data we had some non response bias, along with some rewording of our statement, so we had to take out or extrapolate some of the data that we had collected. There were also some questions that people didn’t answer correctly so we had to extrapolate that data also from our final data. From the extrapolations we had to alter how we calculated the results for the data.

We found that the data we collected for the first question was insufficient because we had a p-value of .879, which is greater than alpha. Therefore we do not have sufficient evidence to say that there were more than half of North Olmsted High School students have paying jobs. For the second question we did have sufficient evidence to say that, of the North Olmsted High Schoolers who have jobs, more of them made minimum wage rather than above minimum wage because our p-value, 0, which was less than alpha. For the third question we also had sufficient evidence to say that, of the the North Olmsted High Schoolers that have jobs, more of them worked more than 20 hours rather than less than 20 hours, because our p-value of .002 was less than alpha.