A student was asked to find a 98% confidence interval for the proportion of stud

Question

A student was asked to find a 98% confidence interval for the proportion of students who take notes using data from a random sample of size n = 60. Which of the following is a correct interpretation of the interval 0.1 < p < 0.22? Check all that are correct.

There is a 98% chance that the proportion of the population is between 0.1 and 0.22.

With 98% confidence, the proportion of all students who take notes is between 0.1 and 0.22.

With 98% confidence, a randomly selected student takes notes in a proportion of their classes that is between 0.1 and 0.22.

There is a 98% chance that the proportion of notetakers in a sample of 60 students will be between 0.1 and 0.22.

The proportion of all students who take notes is between 0.1 and 0.22, 98% of the time.

Explanation / Answer

Correct interpretations of the interval is

1. With 98% confidence, a randomly selected student takes notes in a proportion of their classes that is between 0.1 and 0.22.

2. There is a 98% chance that the proportion of notetakers in a sample of 60 students will be between 0.1 and 0.22.

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