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 depurtament they belong. The results obtained using MINITAB are shown below: Expected counta are printed below observed counts Total 12 Accounting (12.960) (7.830) (6.210) 17 10 Sales (16.800) (10.150) (8.050) 35 19 11 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 - 2?, p-value - 22? a) Carefully define the null and altermative hypotheses of the test of the above table. b) Find the missing values ,* *, * 7, ??? e) What is the conclusion of this test? Give reasons for your answer.
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 depurtament they belong. The results obtained using MINITAB are shown below: Expected counta are printed below observed counts Total 12 Accounting (12.960) (7.830) (6.210) 17 10 Sales (16.800) (10.150) (8.050) 35 19 11 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 - 2?, p-value - 22? a) Carefully define the null and altermative hypotheses of the test of the above table. b) Find the missing values ,* *, * 7, ??? e) 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
Section10.5: Comparing Sets Of Data
Problem 1GP
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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 depurtment they belong. The results obtained using MINITAB are
shown below:
Expected counta are printed below observed counte
Total
12
Accounting
(12.960)
(7.830)
(6.210)
17
10
Sales
(16.800)
(10.150)
(8.050)
35
19
11
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 - 2?, p-value - 2??
a) Carefully define the mall and altermative hypotheses of the g2 test of the above table.
b) Find the missing values , **,* 1, T
e) What is the conclusion of this test? Give reasons for your answer.
Expert Solution
Step 1
(a)
State the hypotheses.
Null hypothesis:
Step 2
(b)
Obtain the missing values for the given table.
The missing values for the given table is obtained below as follows:
From the information, given that
Therefore, the expected frequency for the variable Marketing and B is 11.020.
The chi square contribution for the cell Marketing and C is,
The chi square contribution for the cell Marketing and C is 0.0627
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