To determine which statement is true, we need to calculate the experimental probability of being right-handed based on the survey results and then compare that to the theoretical probability.
Survey Results:
- Total participants = 300
- Right-handed participants = 270
- Left-handed participants = 30
Calculating Experimental Probability:
Experimental probability of being right-handed = (Number of right-handed participants) / (Total participants)
= 270 / 300
= 0.9 (or 90%)
Theoretical Probability: Theoretical probabilities for handedness can vary, but commonly:
- Right-handedness prevalence is often cited as being around 90% in the general population.
- Left-handedness prevalence would therefore be around 10%.
Thus, the theoretical probability of being right-handed is approximately 0.9 (or 90%).
Conclusion:
Since the experimental probability (0.9) is equal to the theoretical probability (0.9), the correct statement is:
The experimental probability that a person is right-handed is equal to the theoretical probability.