a) Carefully define the null and alternative hypotheses of the x2 test of the above table. b) Find the missing values *, **', ***** ??, ??? c) What is the conclusion of this test? Give reasons for your answer.

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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Question 3
Workers at a private business was given a grade (A, B, C) based on their yearly performance. The
data was recorded along with the department they belong. The results obtained using MINITAB are
shown below:
Expected counts are printed below observed counts
Total
12
8
7
Accounting
(12.960)
(7.830)
(6.210)
大
17
10
8.
Sales
(16.800)
(10.150)
(8.050)
35
19
11
8.
Marketing
(18.240)
(**)
(8.740)
38
Total
48
29
23
100
Chi-sq =
0.0711 +
0.0037 +
0.1005 +
0.0024 +
0.0022 +
0.0003 +
0.0317 +
0.0000 +
***
=0.2746
DF =
??, p-value
???
Transcribed Image Text:Question 3 Workers at a private business was given a grade (A, B, C) based on their yearly performance. The data was recorded along with the department they belong. The results obtained using MINITAB are shown below: Expected counts are printed below observed counts Total 12 8 7 Accounting (12.960) (7.830) (6.210) 大 17 10 8. Sales (16.800) (10.150) (8.050) 35 19 11 8. Marketing (18.240) (**) (8.740) 38 Total 48 29 23 100 Chi-sq = 0.0711 + 0.0037 + 0.1005 + 0.0024 + 0.0022 + 0.0003 + 0.0317 + 0.0000 + *** =0.2746 DF = ??, p-value ???
Carefully define the null and alternative hypotheses of theX2 test of the above table.
b) Find the missing values *, ***', ***** ??, ???
c) What is the conclusion of this test? Give reasons for answer.
your
Transcribed Image Text:Carefully define the null and alternative hypotheses of theX2 test of the above table. b) Find the missing values *, ***', ***** ??, ??? c) What is the conclusion of this test? Give reasons for answer. your
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