Question

aurelia is ordering food for a school picnic. each student will get a hamburger, a veggie burger, or a hot dog. aurelia surveys a random sample of 100 students to find out which item they prefer. there are 400 students at the school. based on the survey results, about how many hamburgers should aurelia order? 40 100 140 160

Explanation:

Step1: Calculate the proportion of students who prefer hamburgers in the sample

The proportion \(p\) of students who prefer hamburgers in the sample of \(n = 100\) students is \(p=\frac{40}{100}=0.4\)

Step2: Use the proportion to estimate the number of students who prefer hamburgers in the whole school

There are \(N = 400\) students in the school. The estimated number of students who prefer hamburgers is \(x=p\times N\)
Substitute \(p = 0.4\) and \(N=400\) into the formula: \(x=0.4\times400 = 160\)

Answer:

\(160\)