SOLUTION: A student was asked to find a 99% confidence interval for the proportion of students who take notes using data from a random sample of size n = 70. Which of the following is a corr

Question 1191261: A student was asked to find a 99% confidence interval for the proportion of students who take notes using data from a random sample of size n = 70. Which of the following is a correct interpretation of the interval 0.1 < p < 0.3?
Check all that are correct.
With 99% confidence, a randomly selected student takes notes in a proportion of their classes that is between 0.1 and 0.3.
There is a 99% chance that the proportion of the population is between 0.1 and 0.3.
There is a 99% chance that the proportion of notetakers in a sample of 70 students will be between 0.1 and 0.3.
The proportion of all students who take notes is between 0.1 and 0.3, 99% of the time.
With 99% confidence, the proportion of all students who take notes is between 0.1 and 0.3.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The last one is by far the best interpretation.
CI are about parameters, not samples. The value in the sample you know. We don't use "chance" but rather confidence.
The first one uses confidence, but a randomly selected student either does or doesn't take notes and that is a dichotomous 0/1 probability, not an interval.
RELATED QUESTIONS
A random sample of 72 statics students was taken to estimate the proportion of students... (answered by ewatrrr)

1. Customers are asked to take a survey. Out of a random sample of 340 customers, 290... (answered by ewatrrr)

After going to a fast food restaurant, customers are asked to take a survey. Out of a... (answered by Boreal)

when 274 college students are randomly selected and surveyed, it is found that 123 own a... (answered by stanbon)

When 347 college students are randomly selected and surveyed, it is found that 117 own a... (answered by Boreal)

Use the sample data and confidence level given below to complete parts (a)... (answered by math_tutor2020)

The table to the right shows the results of a survey in which 2566 adults from... (answered by Boreal)

Use the given degree of confidence and sample data to construct a confidence interval for (answered by robertb)

Use the given degree of confidence and sample data to construct a confidence interval for (answered by CPhill)