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)

Question

Responses

Yes
Yes

No
No

Answer 1

To determine if the 10% condition applies, we need to assess whether the sample size is less than 10% of the population. The 10% condition states that if the sample size is less than 10% of the population, we can assume that trials are independent.

In your case, if we have 1,000 adults in the sample, we need to know the total adult population of the Netherlands. As of recent estimates, the adult population in the Netherlands is approximately 13 million (though you should check the most current figure).

To apply the 10% condition:

1. Calculate 10% of the adult population:

   • 10% of 13 million = 1.3 million.

2. Since 1,000 is much less than 1.3 million, the sample size (1,000) is indeed less than 10% of the population.

Therefore, the 10% condition does apply, and we can assume that the trials are independent.

So, the correct response is:

Yes.