30 percent of the employees at a large biotech firm are working from home. [You may find it useful to reference the z table.]



a. In a sample of 40 employees, what is the probability that more than 20% of them are working from home? (Round final answer to 4 decimal places.)

b. In a sample of 280 employees, what is the probability that more than 20% of them are working from home? (Round final answer to 4 decimal places.)

c. Comment on the reason for the difference between the computed probabilities in parts a and b.

multiple choice
As the sample number increases, the probability of more than 20% also increases, due to the lower z value and decreased standard error.
As the sample number increases, the probability of more than 20% also increases, due to the lower z value and increased standard error.

1 answer

The correct answer is: As the sample number increases, the probability of more than 20% also increases, due to the lower z value and decreased standard error.