Question

Suppose there are 200 people total in the neighborhood where the robbery occurred. Let’s say that given a sample size of 30 people in the neighborhood, 5 of them were wearing black jeans and 2 of them were wearing a purple t-shirt. How many people can you narrow down this class evidence to?

Answer 1

we can calculate the frequency of individuals wearing black jeans and purple t-shirts in the sample of 30 people, and then use that frequency to estimate the number of people in the entire neighborhood who fit that description.

Frequency of black jeans: 5/30 = 1/6
Frequency of purple t-shirts: 2/30 = 1/15
To estimate the number of people in the neighborhood who were wearing black jeans, we can multiply the frequency by the total population:

Estimated number of people wearing black jeans: (1/6) x 200 = 33.33
To estimate the number of people in the neighborhood who were wearing purple t-shirts, we can use the same approach:

Estimated number of people wearing purple t-shirts: (1/15) x 200 = 13.33
Since we cannot have a fraction of a person, we need to round the estimates to the nearest whole number. Therefore, based on the class evidence of black jeans and purple t-shirts, we can narrow down the potential suspects to approximately 33 people wearing black jeans and 13 people wearing purple t-shirts in the neighborhood where the robbery occurred.

Answer 2

Step-by-step explanation:

It's difficult to accurately narrow down the class evidence to a specific number of people without additional information. The sample size of 30 people is relatively small in comparison to the total neighborhood population of 200. Additionally, knowing that 5 people were wearing black jeans and 2 were wearing a purple t-shirt doesn't provide enough information to accurately estimate the total number of people wearing those specific items of clothing in the neighborhood.

However, if we assume that the sample of 30 people is representative of the larger population, we can estimate that approximately 33% of the neighborhood population (or 66 out of 200 people) are wearing black jeans, and approximately 10% of the population (or 20 out of 200 people) are wearing a purple t-shirt. This is based on the assumption that the proportion of people wearing black jeans or a purple t-shirt in the sample of 30 people is representative of the proportion in the larger population.

It's important to note that this is just an estimate and not a definitive answer, as there could be a variety of factors that could affect the accuracy of this estimate.