Question

An online news source reports that the proportion of smartphone owners who use a certain operating system is 0.216. Two simulations will be conducted to create a sampling distribution of the sample proportion from a population with proportion 0.216. Simulation A will consist of 1,000 trials with a sample size of 50. Simulation B will consist of 500 trials with a sample size of 100.

Answer 1

Answer:

The center/ mean will almost be equal, and the variability of simulation B will be higher than the variability of simulation A.

Step-by-step explanation:

Solution

Normally, a distribution sample is mostly affected by sample size.

As a rule, sampling error decreases by half by increasing the  sample size four times.

In this case, B sample is 2 times higher the A sample size.

Now, the Mean sampling error is affected and is not higher for A.

But it's sample is huge for this, Thus, they are almost equal

Variability of simulation decreases with increase in number of trials. A has less variability.

With increase number of trials, variability of simulation decreases, so A has less variability.