Question

all 800 students at amayas school took a survey to help choose a new item for the lunch menu. the table shows the results of a random sample of 10 students who took the survey. based on the sample, which is the best estimate of the number of students at the school who chose a spring roll? 200 students 260 students 320 students 400 students

Explanation:

Step1: Calculate the proportion of students who chose spring roll in the sample

The sample size is \(n = 10\), and the number of students who chose spring roll in the sample is \(4\). The proportion \(p\) of students who chose spring roll in the sample is \(p=\frac{4}{10}=0.4\)

Step2: Estimate the number of students in the whole school who chose spring roll

The total number of students in the school is \(N = 800\). Using the formula for estimation \(E=N\times p\), we substitute \(N = 800\) and \(p = 0.4\) into the formula. So \(E=800\times0.4 = 320\)

Answer:

320 students