The student body president of a high school claims to know the names of at least 1000 of the 1800 students who attend the school. To test this claim, the student government advisor randomly selects 100 students and asks the president to identify each by name. The president successfully names only 46 of the students. The advisor then calculates a 99% confidence interval of (0.332, 0.588). Construct and interpret a 99% confidence interval for the total number of students at the school that the student body president can identify by name. Use this interval to evaluate the president’s claim. We are 99% confident that the interval from 598 to 1058 captures the true number of all students at this high school that the student body president knows by name. Because this interval includes 1000, the president’s claim cannot be ruled out. 99% of the time, the student government president will know between 598 and 1058 of the names of the students at this high school. This interval includes 1000. Therefore, the president’s claim is true. If the student government advisor took many samples, 99% of them would find that the student government president knew the names of between 598 and 1058 of the students at this high school. This interval includes 1000. Therefore, the president’s claim is true. We are 99% confident that the interval from 598 to 1058 captures the true number of all students at this high school that the student body president knows by name. Because the president only knew 46/100 names in the sample, and (0.46)(1800) = 828 <1000, we conclude that his claim is false. We are 99% confident that the interval from 598 to 1058 captures the true number of all students at this high school that the student body president knows by name. Because 1000 is so close to the end of this interval, it is highly unlikely that the president’s claim is true

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

The student body president of a high school claims to know the names of at least 1000 of the 1800 students who attend the school. To test this claim, the student government advisor randomly selects 100 students and asks the president to identify each by name. The president successfully names only 46 of the students. The advisor then calculates a 99% confidence interval of (0.332, 0.588).

Construct and interpret a 99% confidence interval for the total number of students at the school that the student body president can identify by name. Use this interval to evaluate the president’s claim.

We are 99% confident that the interval from 598 to 1058 captures the true number of all students at this high school that the student body president knows by name. Because this interval includes 1000, the president’s claim cannot be ruled out.

99% of the time, the student government president will know between 598 and 1058 of the names of the students at this high school. This interval includes 1000. Therefore, the president’s claim is true.

If the student government advisor took many samples, 99% of them would find that the student government president knew the names of between 598 and 1058 of the students at this high school. This interval includes 1000. Therefore, the president’s claim is true.

We are 99% confident that the interval from 598 to 1058 captures the true number of all students at this high school that the student body president knows by name. Because the president only knew 46/100 names in the sample, and (0.46)(1800) = 828 <1000, we conclude that his claim is false.

We are 99% confident that the interval from 598 to 1058 captures the true number of all students at this high school that the student body president knows by name. Because 1000 is so close to the end of this interval, it is highly unlikely that the president’s claim is true.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions