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
question 2

Explanation:

Step1: Identify the total number and percentage

Total students in Spanish club: 55. Percentage intending to enroll: 20% or 0.2.

Step2: Calculate the number of students

Multiply total by percentage: \( 55 \times 0.2 = 11 \)? Wait, no—wait, 20% of 55? Wait, 55 0.2 = 11? But wait, maybe I misread. Wait, the question is: "which of the following is the best estimate of the total number of Spanish club students who intend to enroll". Wait, total students are 55, 20% responded? No, wait, the problem says: "A sample of the Spanish club students was selected at random and asked... 20% responded that they intend... Based on this survey, estimate total number..." Wait, no—wait, maybe the total is 55, and 20% of them? Wait, 55 0.2 = 11? But let's check the options. Option A is 11, B 20, C 44, D 55. Wait, 20% of 55: 55 * 0.2 = 11. So that's 11.

Answer:

A) 11