Describe process: Probability of orange 0.6 Number of candies 300 Summary Statistics Number of samples 10000 0.0078 Show animation Draw Samples Total Samples = 10000 %3D Choose statistic: O Number of orange Proportion of orange Count samples 0.480.510.530.560.590.610.640.670.69 0.72 2 0.6700 As extreme as > 0.67 Count -Proportion of orange- Proportion of samples: 78 / 10000 = 0.0078 Show previous results Show sliders 100 200 300 400 50C
Describe process: Probability of orange 0.6 Number of candies 300 Summary Statistics Number of samples 10000 0.0078 Show animation Draw Samples Total Samples = 10000 %3D Choose statistic: O Number of orange Proportion of orange Count samples 0.480.510.530.560.590.610.640.670.69 0.72 2 0.6700 As extreme as > 0.67 Count -Proportion of orange- Proportion of samples: 78 / 10000 = 0.0078 Show previous results Show sliders 100 200 300 400 50C
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 33E: Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004....
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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.
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