Probability: Left-Handed and Right-Handed
Contingency Table
The table below represents the results for a survey that was done on 30 individuals to establish if they are either left-handed or right-handed.
| Left-handed (LH) | Right-handed (RH) | Total | |
| Female | 4 (A) | 12(B) | 16 (A + B) |
| Male | 6(C) | 8(D) | 14 (C +D) |
| Total | 10 (A + C) | 20 (B +D) | 30 (A +B +C +D) |
- The Probability that the Person will be Left-Handed
P (LH) = 10 / 30
= 0.3333
- Probability of choosing Left-Handed Female
P (LHF) = A/ (A+B)
= 4 / 16
= 0.25
- Odd Ratio of Left-Handed Female
= (A / B) / (C / D) or AD / BC
= (4 * 8) / (12 * 6). Don't use plagiarised sources.Get your custom essay just from $11/page
= 32 / 72
= 0.4444
- Relative Risk of choosing a Left-Handed Female
= [A/ (A + C)] / [B / (B + D)]
= [4 / (4 +6)] / [12 / (12 + 8)]. Don't use plagiarised sources.Get your custom essay just from $11/page
= 0.6667
As compared to the given articles, the probabilities obtained within this study are different from those established by the articles. According to Orr (2001), 10% of the overall population is made up of individuals who are left-handed. However, for this survey, about 33% of the sampled population was left-handed.
References
Holmes, A., Illowsky, B., & Dean, S. (2017). Introductory business statistics. OpenStax. https://openstax.org/details/books/introductory-business-statistics
Orr TB (2001). Being a lefty is all right! Current Health 2. 10; 28(2):12-3.