Question
A study found that nearly 5.1% of people in the Netherlands use a bicycle daily. You want to know the probability that 1,000 randomly selected adults in the Netherlands ride a bicycle on a daily basis.
True or False:
The 10% condition applies for this problem so you can make the assumption that trials are independent.
(1 point)
Responses
True
True
False
False
True or False:
The 10% condition applies for this problem so you can make the assumption that trials are independent.
(1 point)
Responses
True
True
False
False
Answers
GPT-4o mini
True.
The 10% condition states that for a sample to be considered independent when drawn from a finite population, the sample size should not exceed 10% of the population size. In this case, if we assume the population of adults in the Netherlands is much larger than 1,000, then 1,000 represents less than 10% of the population. Thus, the trials can be assumed to be independent, making the statement true.
The 10% condition states that for a sample to be considered independent when drawn from a finite population, the sample size should not exceed 10% of the population size. In this case, if we assume the population of adults in the Netherlands is much larger than 1,000, then 1,000 represents less than 10% of the population. Thus, the trials can be assumed to be independent, making the statement true.