Question

It is known that 21% of Pennsylvania residents work from home one or more days per week. In a random sample of 400 PA residents you found that 100 of them work from home one or more days per week. Would this be considered an outlier?

Answer 1

To determine if the proportion of Pennsylvania residents who work from home is an outlier, we compare the observed proportion in the sample to the expected proportion based on the known population proportion of 21%.

Step-by-step explanation:

To determine if the proportion of Pennsylvania residents who work from home one or more days per week is an outlier, we can compare the observed proportion in the sample to the expected proportion based on the known population proportion of 21%.

First, we calculate the expected number of residents who work from home by multiplying the sample size (400) by the population proportion (0.21). So, the expected number of residents who work from home is 400 * 0.21 = 84.

Next, we can calculate the z-score, which measures how many standard deviations the observed value (100) is from the expected value (84). The formula for the z-score is: z = (observed value - expected value) / standard deviation.

Since the question doesn't provide information about the standard deviation, we can't calculate the z-score or determine if the proportion is an outlier.