Question

professor zuro surveyed a random sample of 420 statistics students. one of the questions was \will you take another mathematics class?\ the results showed that 25.2% of the students said yes. what is the sample proportion, \\( \hat { p } \\), of students who say they will take another math class? round to three decimal places

a. 0.000
b. 0.775
c. 0.252
d. 0.420

Explanation:

Step1: Recall the formula for sample proportion

The sample proportion \(\hat{p}\) is calculated as \(\hat{p}=\frac{x}{n}\), where \(x\) is the number of successes (in this case, the number of students who say yes) and \(n\) is the sample size. Here, we are given the proportion as a percentage. If \(25.2\%\) of the students said yes, we convert the percentage to a decimal.

Step2: Convert percentage to decimal

To convert a percentage to a decimal, we use the formula \(p = \frac{\text{Percentage}}{100}\). For \(25.2\%\), we have \(p=\frac{25.2}{100}=0.252\)

Answer:

C. \(0.252\)