AP Statistics Final Project When asked to select a number one through ten, do people randomly select a number or do they tend to select certain numbers over others? PRELIMINARY STUDY Facebook Question Randomized Data Collection- Survey of Students at Osseo Senior High School Simple Random Sample of Students at Osseo Senior High

Sample size 100

Collected data during Guided Study/Advisory

Questioned in person or collected data through questionaire (Number) (Frequency) 1 3

2 6

3 13

4 14

5 11

6 9

7 31

8 6

9 4

10 3 Test Conditions

Random Sampling of Students

Expecteds exceed 5

Model to test

Each response only one category Test- Null Hypothesis

The true proportion for chosen numbers, one through ten, by students at Osseo High School is equal to 1/10th for each number. In other words, these students choose randomly when asked to pick a number 1-10. Test- Alternative Hypothesis

The true proportion for chosen numbers, one through ten, by students at Osseo High School is not equal to 1/10th for each number. In other words, these students tend to favor certain numbers over others when asked to pick a number 1-10. Test- Chi-Square Goodness of Fit Test Statistic Conclusion χ2 = 63.4 with 9 degrees of freedom p-value = .000000000295 = 2.95x10^-10 Test was statistically significant (p < alpha = .05)

Null hypothesis is false: students do not choose numbers equally or randomly

Random number generating vs. arbitrary human generation Level of significance = .05 Why seven?

Further testing

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# AP Statistics Final Project

When asked to pick a number between one and ten, do people pick random numbers or do they tend to choose certain numbers over others?

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