Using statistical tables, show all workings. Carefully define the null and alternative hypotheses of the ?2 test of the above table. After, Find the missing values ‘*’, ‘**’, ‘***’ ??, ???   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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Using statistical tables, show all workings.

Carefully define the null and alternative hypotheses of the ?2 test of the above table. After, Find the missing values ‘*’, ‘**’, ‘***’ ??, ??? 
 What is the conclusion of this test? Give reasons for your answer. 

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
A
в
Total
12
8
7
Accounting
(12.960)
(7.830)
(6.210)
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
??, р-valuе
???
Transcribed Image Text: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 A в Total 12 8 7 Accounting (12.960) (7.830) (6.210) 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 ??, р-valuе ???
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