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Homework answers / question archive / TRUE OR FALSE? It is known that 10% of people are left-handed
TRUE OR FALSE?
It is known that 10% of people are left-handed. This means that in a randomly selected group of 20 persons two must be left-handed.
The statement 10% of people are left-handed imply that 10% of the ENTIRE POPULATION is left handed. If we get a sample from this population, say a group of 20 persons as noted in the problem, it doesn't necessarily mean that there will be exactly [Math Processing Error]10%×20=2 persons who are left-handed - it could be just one or maybe three. The 10% is often used as the benchmark for samples from the population, but should not be interpreted as true for all samples. It is for this reason that statistical tests are performed to check if the properties of one sample is consistent with another, i.e. if they both resonate the property of the population, then there is no need to perform the tests. It should be noted, however, that according to the Central Limit Theorem, as the sample size becomes bigger, the closer the mean of the sample (in this case, the proportion) is to the mean of the population.
In summary, the given statement is FALSE.