There are 528 students in Pablo’s high school . Pablo surveys 130 randomly chosen students

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to gather information about their favorite subjects. Based on the survey results, Pablo wants to estimate the proportion of students who prefer math as their favorite subject in the high school.

To estimate the proportion of students who prefer math as their favorite subject, Pablo can use the sample proportion from the survey data. The sample proportion is calculated by dividing the number of students who prefer math by the total number of students surveyed.

If, for example, 30 out of the 130 surveyed students prefer math as their favorite subject, the sample proportion would be:

Sample proportion = number of students who prefer math / total number of students surveyed
Sample proportion = 30 / 130
Sample proportion = 0.23

This sample proportion can then be used to estimate the proportion of students in the entire high school who prefer math as their favorite subject. By multiplying the sample proportion by the total number of students in the high school, Pablo can estimate the number of students who prefer math.