Probability
dreaelphic- A Survey of 30 people to find out if they are left-handed or right-handed, and use the following chart to create a contingency table with the information.
Left handed= 6
Right handed = 24
Total Female lefty =4 righty=16
Male lefty Total= 2 righty=8
- Answer the following questions about the information in your contingency table:
- If a person is randomly selected from the survey participants, what is the probability that the person will be left-handed?
- If you randomly choose a female from the people you surveyed, what is the probability that she is left-handed?
- What is the odds ratio of choosing a left-handed female?
- What is the relative risk of choosing a left-handed female?
Example
Green
Blue
Total
Cats
40 (A)
20 (B)
60 (A+B)
Dogs
30 (C)
40 (D)
70 (C+D)
Total
70 (A+C)
60 (B+D)
130 (A+B+C+D)
- Probability of Green - (A+C)/(A+B+C+D): 70/130 = 0.54
- Probability of Green Cat - A/(A+B): 40/60 = 0.67
- Odds Ratio of Green Cat - (A/B)/(C/D) or AD/BC: (4040)/(2030) = 1600/600 = 2.67
- Relative Risk of Green Cat - [A/(A+C)]/[B/(B+D)]: (40/70)/(20/60) = 1.71
- Skim through at least one of the following articles on left-handed vs. right-handed people from the Chamberlain Library. Answer the following question: How do the probabilities and percentages for your study compare to those in the study you read?
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