Suppose a different student reaches in the bag, randomly selects their twenty chips, and estimates that 60% of the students are male. Based on this sample, what is a good estimate for the number of enrolled university students that are female?

I'll be glad to check your answer.

ITM MT

To estimate the number of enrolled university students that are female based on the sample provided, we need to use the concept of proportional reasoning. Let's break down the problem into steps:

Step 1: Determine the proportion of male students in the sample.
Based on the information given, the student estimates that 60% of the students in the sample are male. This means that 60% of the twenty chips drawn are male chips. To find the number of male chips in the sample, you can multiply 20 by 60%, which equals 20 * 0.6 = 12 male chips.

Step 2: Determine the proportion of female students in the sample.
Since the sample only consists of male and female chips, the remaining chips in the sample will represent females. Therefore, the proportion of female students in the sample can be calculated by subtracting the proportion of males from 100%. In this case, it is 100% - 60% = 40%.

Step 3: Calculate the estimated number of female students in the entire university population.
To estimate the number of enrolled university students that are female, we need to apply the proportion of females in the sample to the entire university population. Since we are given that there are 200 chips in the bag, representing the entire population, the estimated number of female students can be calculated by multiplying the proportion of females in the sample (40%) by the total number of chips in the bag (200). Thus, the estimated number of female students in the entire university population is 40% of 200, which equals 0.4 * 200 = 80.

Therefore, based on the provided sample, a good estimate for the number of enrolled university students that are female is 80.

Sure I will see the answer I doin the same thing