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 Low Average High Total Science 12 30 52 94 (15.67) (29.24) (49.09) Humanities 14 20 30 (10.67) (19.91) (33.42) Law 12 22 (*) (6.84) (11.49) Total 30 56 94 180 Chi-sq 0.858 + 0.020 + *** * 0.000 + 0.350 + 0.030 + 0.104 + 0.023 %3D 1.042 =2.600 i. Define the null and alternative hypotheses of the x test for the above output. ii. Find the missing values *', **', ****, Showing necessary working iii. What is the degree of freedom for this test? iv. Estimate the p-value for this test. V. State the conclusion for the test. Give reason for your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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please see attach. Need assistance with iv and v

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
Low
Average
High
Total
Science
12
30
52
94
(15.67)
(29.24)
(49.09)
Humanities
14
20
30
(10.67)
(19.91)
(33.42)
Law
6.
(6.84)
4
12
22
(*)
(11.49)
Total
30
56
94
180
Chi-sq = 0.858 + 0.020 + ***
%3D
1.042 0.000 + 0.350 +
0.030 + 0.104 + 0.023 =2.600
Define the null and alternative hypotheses of the x test for the above output.
Find the missing values *', **', '***', Showing necessary working
ii.
i.
ii.
What is the degree of freedom for this test?
iv.
Estimate the p-value for this test.
State the conclusion for the test. Give reason for your answer.
V.
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 Low Average High Total Science 12 30 52 94 (15.67) (29.24) (49.09) Humanities 14 20 30 (10.67) (19.91) (33.42) Law 6. (6.84) 4 12 22 (*) (11.49) Total 30 56 94 180 Chi-sq = 0.858 + 0.020 + *** %3D 1.042 0.000 + 0.350 + 0.030 + 0.104 + 0.023 =2.600 Define the null and alternative hypotheses of the x test for the above output. Find the missing values *', **', '***', Showing necessary working ii. i. ii. What is the degree of freedom for this test? iv. Estimate the p-value for this test. State the conclusion for the test. Give reason for your answer. V.
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