Question
The 400 students at redwood middle school took a survey about the language they plan to study in highschool. The table shows the results of a random sample of 20 students who took the survey.
Based on the sample, which is the best estimate of the number of students at the school who plan to study french
Based on the sample, which is the best estimate of the number of students at the school who plan to study french
Answers
GPT-4o mini
To estimate the number of students at Redwood Middle School who plan to study French based on the sample of 20 students, first you'll need to determine how many of those 20 students indicated that they plan to study French.
Let's say, for example, that out of the 20 sampled students, 5 indicated they plan to study French.
1. Calculate the proportion of students in the sample who plan to study French:
\[
\text{Proportion} = \frac{\text{Number of students studying French}}{\text{Total number in the sample}} = \frac{5}{20} = 0.25
\]
2. To estimate the total number of students planning to study French in the entire school of 400 students, multiply the proportion by the total student population:
\[
\text{Estimated students studying French} = \text{Proportion} \times \text{Total students} = 0.25 \times 400 = 100
\]
So, in this hypothetical scenario, the best estimate of the number of students at the school who plan to study French would be **100 students**.
You will need to replace the number of students studying French in the sample (5 in this case) with the actual number from your data to get the correct estimate.
Let's say, for example, that out of the 20 sampled students, 5 indicated they plan to study French.
1. Calculate the proportion of students in the sample who plan to study French:
\[
\text{Proportion} = \frac{\text{Number of students studying French}}{\text{Total number in the sample}} = \frac{5}{20} = 0.25
\]
2. To estimate the total number of students planning to study French in the entire school of 400 students, multiply the proportion by the total student population:
\[
\text{Estimated students studying French} = \text{Proportion} \times \text{Total students} = 0.25 \times 400 = 100
\]
So, in this hypothetical scenario, the best estimate of the number of students at the school who plan to study French would be **100 students**.
You will need to replace the number of students studying French in the sample (5 in this case) with the actual number from your data to get the correct estimate.