IB Math Studies Chi Square IA

Topics: Null hypothesis, Statistical hypothesis testing, Pearson's chi-square test Pages: 10 (1420 words) Published: February 23, 2014
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Predictability of Social Media Usage to Grade Averages

IB Math Studies

Spring 2013

Introduction/Purpose……………………………………………………………..p.3

Data Collection Method……………………………………………………….....p. 3 - 4

Data Analysis: Chi-Squared Statistic

Frequency Table…………………………………………………………p. 4 - 5

Contingency Table……………………………………………………….p. 5 – 6

Chi – Squared Statistic…………………………………………………...p. 7

Degrees of Freedom………………………………………………………p. 7

Critical Value……………………………………………………………..p. 7 – 8

Conclusion……………………………………………………………………....p. 9 - 10

Introduction/Purpose

I conducted my research by creating a survey for 200 randomly selected high school students to complete. I will compare the 200 students, differentiating them between time spent on social media sites and the average grade received per semester. To compare my data, I will create two tables: a frequency table and a contingency table. One will represent the exact number of students surveyed and the other will show the association between the two variables. Survey:

CIRCLE ONE: What is your average grade (in a semester)? A B C D F(or below) CIRCLE ONE: How much time do you spend on the computer/social media sites? Less than 1 hour1-2 hours2-3hours3 hours or more

Data Analysis
Frequency Table:
In the given situation, the question at hand is “how much time do students truly spend on social media sites?” The results in the frequency table below summarize the sample of 200 randomly selected high school students, their grades, and their time spent on social media sites:

A
93-100
B
85-92
C
77-84
D
70-76
F
Below 70

Total
Less than 1 hour

23

5

3

3

2

36
1 – 2 hours

34

13

14

5

0

66
2 – 3
hours

16

27

18

4

1

66
3+
hours

13

4

2

7

6

32
Total
86
49
37
19
9
200
After placing my collected data in table form, I calculated the sum of each number of students’ grades and the time spent on the computer using social media sites. Contingency Table:
Tables such as these, in which the number of observations are entered according to two different factors (or classifications) are called contingency tables. The question to be answered is, “Are grades and time spent (daily) on...