Question

A study round that nearly 51% 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. Does the 10% condition apply to this problem so you can make the assumption that trials are independent? (1 point) Responses Yes Yes No

Answer 1

The 10% condition is a rule of thumb used in statistics which states that if you are sampling without replacement, the sample size should be no more than 10% of the population to assume that the trials are independent.

In this case, you are considering 1,000 randomly selected adults in the Netherlands. The population of the Netherlands is approximately 17 million people. Since 1,000 is less than 10% of 17 million (which is approximately 1.7 million), the 10% condition applies.

So, the answer is Yes, the 10% condition applies to this problem, and you can assume that trials are independent.