Question

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?
160
based on the survey results, about how many veggie burgers should aurelia order?
140
based on the survey results, about how many hot dogs should aurelia order?
100 125 150 200

Explanation:

Step1: Calculate the proportion of students who prefer hot - dogs in the sample

The proportion \(p\) of students who prefer hot - dogs in the sample of \(n = 100\) students is \(p=\frac{25}{100}=0.25\)

Step2: Use the proportion to estimate the number of students who prefer hot - dogs in the whole school

There are \(N = 400\) students in the school. Let \(x\) be the number of students who prefer hot - dogs. Using the formula \(x=p\times N\), we substitute \(p = 0.25\) and \(N = 400\)
\(x=0.25\times400=\frac{25}{100}\times400 = 100\)

Answer:

100