1
AssignmentMultiple Choice

Sampling Distribution of the Sample Proportion

Question 1 • NC-Math 4

In the previous scenario, we calculated the probability that the SRS shows that less than half of the students surveyed regularly use lockers is equal to 0.012. Interpret this probability.

Answer
A
About 1% of all SRSs of size 100 from this population would show that less than half of those surveyed used lockers regularly.
B
About 1% of students at this high school use lockers less than half the time.
C
50% of the students at this high school use lockers approximately 1% of the time.
D
About 50% of all SRSs of size 100 from this population would show that less than 1% of those surveyed used lockers regularly.

Explanation

A probability of 0.012 means about 1.2% of repeated samples would produce the stated result. So about 1% of all SRSs of 100 students from this population would show that fewer than half of the students surveyed regularly use lockers. This describes how often the sample result occurs, not the percentage of students who use lockers.

AI-written and checked against the verified answer.

Next