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Could the number of courses a college student is enrolled in be related to their employment status? At a local college, a simple random sample of 150 students was selected. Data was collected on each student on how many courses they were currently enrolled in and whether they held a job. The data was then presented in the frequency table: Number of Courses Employment Status Total Job No Job Four 19 30 49 Three 27 25 52 Two 37 12 49 Total 83 67 150 Part A: What proportion of students in the sample have a job and are enrolled in at least three courses? Also, what proportion of students in the sample do not have a job and are enrolled in at least three courses? Part B: Explain the association between the number of courses enrolled and employment status for the 150 students. Use the data presented in the table and proportion calculations to justify your answer. Part C: Perform a chi-square test for the hypotheses. Ho: The number of courses enrolled by students at the local college and their employment status have no association. Ha: The number of courses enrolled by students at the local college and their employment status have an association. What can you conclude based on the p-value?

Could the number of courses a college student is enrolled in be related to their employment status? At a local college, a simple random sample of 150 students was selected. Data was collected on each student on how many courses they were currently enrolled in and whether they held a job. The data was then presented in the frequency table: Number of Courses Employment Status Total Job No Job Four 19 30 49 Three 27 25 52 Two 37 12 49 Total 83 67 150 Part A: What proportion of students in the sample have a job and are enrolled in at least three courses? Also, what proportion of students in the sample do not have a job and are enrolled in at least three courses? Part B: Explain the association between the number of courses enrolled and employment status for the 150 students. Use the data presented in the table and proportion calculations to justify your answer. Part C: Perform a chi-square test for the hypotheses. Ho: The number of courses enrolled by students at the local college and their employment status have no association. Ha: The number of courses enrolled by students at the local college and their employment status have an association. What can you conclude based on the p-value?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Could the number of courses a college student is enrolled in be related to their employment status? At a local college, a simple random sample of 150 students was selected. Data was collected on each student on how many courses they were currently enrolled in and whether they held a job. The data was then presented in the frequency table: Number of Courses Employment Status Total Job No Job Four 19 30 49 Three 27 25 52 Two 37 12 49 Total 83 67 150 Part A: What proportion of students in the sample have a job and are enrolled in at least three courses? Also, what proportion of students in the sample do not have a job and are enrolled in at least three courses? Part B: Explain the association between the number of courses enrolled and employment status for the 150 students. Use the data presented in the table and proportion calculations to justify your answer. Part C: Perform a chi-square test for the hypotheses. Ho: The number of courses enrolled by students at the local college and their employment status have no association. Ha: The number of courses enrolled by students at the local college and their employment status have an association. What can you conclude based on the p-value?
Transcribed Image Text:Could the number of courses a college student is enrolled in be related to their employment status? At a local college, a simple random sample of 150 students was selected. Data was collected on each student on how many courses they were currently enrolled in and whether they held a job. The data was then presented in the frequency table: Number of Courses Employment Status Total Job No Job Four 19 30 49 Three 27 25 52 Two 37 12 49 Total 83 67 150 Part A: What proportion of students in the sample have a job and are enrolled in at least three courses? Also, what proportion of students in the sample do not have a job and are enrolled in at least three courses? Part B: Explain the association between the number of courses enrolled and employment status for the 150 students. Use the data presented in the table and proportion calculations to justify your answer. Part C: Perform a chi-square test for the hypotheses. Ho: The number of courses enrolled by students at the local college and their employment status have no association. Ha: The number of courses enrolled by students at the local college and their employment status have an association. What can you conclude based on the p-value?
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