1 . A student was asked to find a 99% confidence interval for the proportion of

Question

1. 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 = 86. Which of the following is a correct interpretation of the interval 0.1 < p < 0.25?

a. The proprtion of all students who take notes is between 0.1 and 0.25, 99% of the time.

b. There is a 99% chance that the proportion of notetakers in a sample of 86 students will be between 0.1 and 0.25.

c. There is a 99% chance that the proportion of the population is between 0.1 and 0.25.

d. With 99% confidence, a randomly selected student takes notes in a proportion of their classes that is between 0.1 and 0.25.

e. With 99% confidence, the proportion of all students who take notes is between 0.1 and 0.25.

2. Pictured below (in scrambled order) are three histograms: One of them represents a population distribution. The other two are sampling distributions of x-bar; one for sample size n = 5, and one for sample size n = 30.

Which of the following 6 possible orderings of the three histograms represents the sequence:

-Population distribution
-Sampling distribution of x-bar for sample size n = 5
-Sampling distribution of x-bar for sample size n = 30

Explanation / Answer

1) option E is correct ;With 99% confidence, the proportion of all students who take notes is between 0.1 and 0.25.

2) option D is correct : histogram 2 ; histogram 3 ;histogram 1

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