Computer abuse by employees is an ongoing worry to businesses. A study revealed the data shown below. At α = .02, is the frequency of disciplinary action independent of the abuser’s level of privilege? Computer Abuse I

1.
award:

10.00  points
Computer  abuse  by  employees  is  an  ongoing  worry  to  businesses.  A  study  revealed  the  data  shown  below.
At  α  =  .02,  is  the  frequency  of  disciplinary  action  independent  of  the  abuser’s  level  of  privilege?
   Computer  Abuse  Incidents  Cross-­Tabulated  by  Privilege  and  Punishment
   Level  of  Privilege
Disciplined
Not  Disciplined
Row  Total
   Low
20
2    
22
   Medium
25
10
35
   High
38
12
50
   
   Col  Total
83
24    
107    
   
     
Click  here  for  the  Excel  Data  File

       

Calculate   the   Chi-­square   test   statistic,   degrees   of   freedom   and   the   p-­value.   (Round   your   test   statistic
value  to  2  decimal  places  and  the  p-­value  to  4  decimal  places.)
   
   Test  statistic
   d.f.
   p-­value

 
   
   
   

(a) The  hypothesis  for  the  given  issue  is  H0:  Privilege  Level  and  Disciplinary  Action  are  independent.
     
No
 
Yes
(c) Find  the  critical  value  for  Chi-­Square.  Refer  to  the   chi-­square  table.   (Round   your   answers   to   3   decimal
places.)
   Critical  value

   

(d) We  can  reject  the  null  hypothesis  and  find  dependence.  Is  the  statement  true  or  false?
     

 

TRUE
FALSE
Worksheet

Learning  Objective:  15-­01  Recognize  a
contingency  table.

Learning  Objective:  15-­03  Perform  a  chi-­square
test  for  independence  on  a  contingency  table.

Difficulty:  2-­Medium

Learning  Objective:  15-­02  Find  degrees  of
freedom  and  use  the  chi-­square  table  of  critical
values.

Learning  Objective:  15-­06  Use  computer
software  to  perform  a  chi-­square  GOF  test  for
normality.

 
 

 
[The  following  information  applies  to  the  questions  displayed  below.]

At  a  local  supermarket  receiving  dock,  the  number  of  truck  arrivals  per  day  is  recorded  for  100  days.
       

   Arrivals  per  Day  at  a  Loading  Dock
 
   
 
0
1
2
   Frequency
8
24
25

Number  of  Arrivals
3
21

4
8

5
7

6
6

7
1

Total
100

       
Click  here  for  the  Excel  Data  File

 2.

 

award:

10.00  points
(a) Estimate  the  mean  from  the  sample.  (Round  your  answer  to  2  decimal  places.)
   Sample  mean
Worksheet

   
Difficulty:  3-­Hard

Learning  Objective:  15-­05  Explain  the  GOF  test
for  a  Poisson  distribution.

 

 3.

award:

10.00  points

 

(b-­1) Carry   out   the   chi-­square   test,   combining   end   categories   as   needed   to   ensure   that   all   expected
frequencies  are  at  least  five.  (Perform  a  Poisson  Goodness  of  Fit  test  for  alpha  =  .01,  combining
the   last   three   categories   into   a   single   category   for   5   or   more.   Do   not   round   your   intermediate
calculations.  Round  your  answers  to  4  decimal  places.)
   
   Chi-­square
   d.f.
   p-­value

Worksheet

   
   
   

Difficulty:  3-­Hard

Learning  Objective:  15-­05  Explain  the  GOF  test
for  a  Poisson  distribution.

 

 4.

 

award:

10.00  points
(b-­2) Truck  arrivals  per  day  follow  a  Poisson  process.
False
True
Multiple  Choice

Difficulty:  3-­Hard

Learning  Objective:  15-­05  Explain  the  GOF  test
for  a  Poisson  distribution.

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