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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Athletes at a certain university have a long term graduation rate of 0.60 or 60%.

Researchers believe that this has changed over the past several years and take a random sample of 300 athletes from the university and find that 201 eventually graduated.

Researchers use the Candy Machine APP to look at the empirical sampling distribution of the proportion based on the graduate rate of 0.60 for samples of size 300 and obtain the distribution shown in the image below. Use this sampling distribution to assist you in choosing the correct statement.

a)For samples of size 300, the sample proportion of 0.67 is unlikely if the population proportion is 0.60. Therefore it is unlikely that in the population of all athletes at the university that the graduation proportion is still 0.60. There is evidence that the graduation rate is now lower for athletes.

b)For samples of size 300, the sample proportion of 0.67 is likely if the population proportion is 0.60. Therefore it is likely that in the population of all athletes at the university that the graduation proportion is still 0.60.

c)For samples of size 300, the sample proportion of 0.67 is unlikely if the population proportion is 0.60. Therefore it is unlikely that in the population of all athletes at the university that the graduation proportion is still 0.60. There is evidence that the graduation rate is now higher for athletes.