Research Paper on Statistics:
My project was to show the proportion of the population of students who are right-hand dominant, left-hand dominant, and ambidextrous, is able to use both right and left hands to write. I will also see if the proportion of each type of hand dominance is equal with the other two types of hand dominance. I used a stratified sample by choosing the students that were in each one of my classes.
Because the sample is stratified and not a simple random sample, the results may not be precisely the same as if they were done in a different study. I took the first one hundred and fifty students and used them as my sample.
Since finding out the information of what hand is dominant or if the person is ambidextrous is not an extremely elaborate process, I did not need to send out surveys or have a long interview. In order to get the data I needed, I simply asked each person included in the study if he or she was left-hand dominant, right-hand dominant, or ambidextrous. The statistics I need to compute are the proportion of those students that are left or right-hand dominant or if they are ambidextrous. I did a hypothesis test to determine if the amount of right-hand dominant students was equal to the amount of left-hand dominant students and also equal to the amount of ambidextrous students.
The best way to show the data will be in a bar graph. By using the bar graph, the viewer will be able to see a distinct difference in which has the largest proportion size and by how much. Another graph I will be using is the pie chart. The pie chart will be easier to see exactly what percentage of a hundred students are right-hand dominant, left-hand dominant, and ambidextrous.
My results proved that the three proportions were not equal. The results proved that over seventy-five percent of the population could be categorized into one hand dominance. From these results, I concluded that there are more right-hand dominant people than left-hand dominant and that there are more left hand dominant people than ambidextrous.
My objective was, by using statistics, to discover what the proportion of right-handers was to left-handers and to those who are ambidextrous. I wanted to see if the proportions were equal in Viterbo students and from the data I found in the small study, I could make conclusions about the entire worlds population.
I went about retrieving the data by taking the first hundred and fifty students that were in my classes. I went up to them and simply asked them which hand was prevalent: right or left or if by chance they were ambidextrous. They told me and I recorded it on my paper. After I got all the data, I punched the numbers into Minitab to make my graphs. After the graphs were made, I took the numbers and put them into the following hypothesis test to see if the three proportions were equal. Upon completing all these tasks, I can them make my conclusions on what the project will prove.
1. Ho: P1=P2=P3=1/3
Hi: not all as stated above
3. C.R: x2 > 4.605
4. Stat: x2 = 188.04
5. Reject Ho, there is significant evidence that proves
not all the proportions are equal.
From the data I have collected, I am concluding that Viterbo students are not equal in the number of those who are left-hand dominant, right-hand dominant and those who are ambidextrous. I am also concluding that the population of the world must be about the same proportions as the Viterbo students were, with eighty-six percent right-handed, ten percent left-handed, and four percent ambidextrous. This means that quite possibly most of us have at least one thing in common: the same hand dominance. Luckily, I am one of those unique and exciting individuals that are left-hand dominant (except in sports). However, being a lefty has hindered my dream of being a surgeon because they make all those delicate instruments for right-handed people. Oh well, I guess I will have to be happy with probing into peoples’ brains psychologically.
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