Question

question 1
there are 55 students in spanish club. a sample of the spanish club students was selected at random and asked whether they intend to enroll in a new study program. of those surveyed, 20% responded that they intend to enroll in the study program. based on this survey, which of the following is the best estimate of the total number of spanish club students who intend to enroll in the study program?
a) 11
b) 20
c) 44
d) 55

Explanation:

Step1: Convert percentage to decimal

20% is written as 0.2 in decimal form.

Step2: Calculate the estimated number

Multiply the total number of students by the decimal - equivalent of the percentage. Let the total number of students be $n = 55$ and the percentage of students who intend to enroll be $p=0.2$. The estimated number of students who intend to enroll is $n\times p$. So, $55\times0.2 = 11$.

Answer:

A. 11