One of the Stats 250 instructors wanted to know if the distribution of class standing (for students taking Stats 250) has changed over the years. The instructor found the following model for the population of all Stats 250 students from Fall '16. • Freshmen: 16% • Sophomores: 46% • Juniors: 28% • Seniors:10% The instructor then surveyed a random sample of 200 students taking Stats 250 (during Fall '19). The responses are shown below: Freshmen Sophomores Juniors Seniors 42 88 58 12 Use these results to perform the appropriate test to assess whether the population distribution of class standing for students taking Stats 250 (during Fall '19) is the same as the distribution from Fall '16. 1. State the appropriate null hypothesis. (The significance level has been selected to be 5%.) 2. Check the necessary assumption(s). Show all work. (You may assume that the sample of 200 students taking Stats 250 is a random sample.) 3. Perform the appropriate test. Provide and clearly label both the test statistic value and the corresponding p-value. Include all supporting computations and work. 4. State your decision and provide a conclusion in context. Your answer should be well organized. Clearly use labels for your Steps 1, 2, 3, and 4.
One of the Stats 250 instructors wanted to know if the distribution of class standing (for students taking Stats 250) has changed over the years. The instructor found the following model for the population of all Stats 250 students from Fall '16. • Freshmen: 16% • Sophomores: 46% • Juniors: 28% • Seniors:10% The instructor then surveyed a random sample of 200 students taking Stats 250 (during Fall '19). The responses are shown below: Freshmen Sophomores Juniors Seniors 42 88 58 12 Use these results to perform the appropriate test to assess whether the population distribution of class standing for students taking Stats 250 (during Fall '19) is the same as the distribution from Fall '16. 1. State the appropriate null hypothesis. (The significance level has been selected to be 5%.) 2. Check the necessary assumption(s). Show all work. (You may assume that the sample of 200 students taking Stats 250 is a random sample.) 3. Perform the appropriate test. Provide and clearly label both the test statistic value and the corresponding p-value. Include all supporting computations and work. 4. State your decision and provide a conclusion in context. Your answer should be well organized. Clearly use labels for your Steps 1, 2, 3, and 4.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Use the given information to answer question 3 and its subparts: Step 1, Step 2, Step3, and Step 4
Transcribed Image Text:One of the Stats 250 instructors wanted to know if the distribution of class standing (for students taking Stats 250) has changed over the years. The
instructor found the following model for the population of all Stats 250 students from Fall '16.
Freshmen: 16%
Sophomores: 46%
Juniors: 28%
• Seniors:10%
The instructor then surveyed a random sample of 200 students taking Stats 250 (during Fall '19). The responses are shown below:
Freshmen
Sophomores
Juniors
Seniors
42
88
58
12
Use these results to perform the appropriate test to assess whether the population distribution of class standing for students taking Stats 250
(during Fall '19) is the same as the distribution from Fall '16.
1. State the appropriate null hypothesis. (The significance level has been selected to be 5%.)
2. Check the necessary assumption(s). Show all work. (You may assume that the sample of 200 students taking Stats 250 is a random sample.)
3. Perform the appropriate test. Provide and clearly label both the test statistic value and the corresponding p-value. Include all supporting
computations and work.
4. State your decision and provide a conclusion in context.
Your answer should be well organized. Clearly use labels for your Steps 1, 2, 3, and 4.
Question 3 Answer
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