The performance of students at a local community was recorded and categorized based on student's faculty. The gathered data was then analyzed by a statistician and the results obtained using MINITAB are shown below: Expected counts are printed below observed counts High Low Average Total Science 12 30 52 94 (15.67) (29.24) (49.09) Humanities 14 20 30 ** (10.67) (19.91) (33.42) Law 4 6 12 22 (*) (6.84) (11.49) Total 30 56 94 180 Chi-sq = 0.020 + 0.858 + *** + 1.042 0.000 + 0.350 + 0.030 + 0.104 + 0.023 =2.600

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
icon
Related questions
Question

Define the null and alternative hypotheses of the χ2 test for the above output.

The performance of students at a local community was recorded and categorized based on student's
faculty. The gathered data was then analyzed by a statistician and the results obtained using
MINITAB are shown below:
Expected counts are printed below observed counts
High
Low
Average
Total
Science
12
30
52
94
(15.67)
(29.24)
(49.09)
Humanities
14
20
30
**
(10.67)
(19.91)
(33.42)
Law
4
6
12
22
(*)
(6.84)
(11.49)
Total
30
56
94
180
Chi-sq =
0.858 +
0.020 +
*** +
1.042
0.000 +
0.350 +
0.030 +
0.104 +
0.023
=2.600
Transcribed Image Text:The performance of students at a local community was recorded and categorized based on student's faculty. The gathered data was then analyzed by a statistician and the results obtained using MINITAB are shown below: Expected counts are printed below observed counts High Low Average Total Science 12 30 52 94 (15.67) (29.24) (49.09) Humanities 14 20 30 ** (10.67) (19.91) (33.42) Law 4 6 12 22 (*) (6.84) (11.49) Total 30 56 94 180 Chi-sq = 0.858 + 0.020 + *** + 1.042 0.000 + 0.350 + 0.030 + 0.104 + 0.023 =2.600
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Statistical Power and Errors
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning