Recent research commissioned by Vodafone suggests that older workers are the happiest employees ( BBC News , July 21, XXXXXXXXXXThe report documents that 70% of older workers in England feel...

Recent research commissioned by Vodafone suggests that older workers are the happiest employees (BBC News, July 21, 2008). The report documents that 70% of older workers in England feel fulfilled, compared with just 50% of younger workers. A demographer believes that an identical pattern does not exist in Asia. A survey of 120 older workers in Asia finds that 75 feel fulfilled. A similar survey finds that 58% of 210 younger workers feel fulfilled.(You may find it useful to reference the appropriate table:
z tableor t table)

At the 5% level of significance, test if older workers in Asia feel less fulfilled than their British counterparts.

a-1.Select the null and the alternative hypotheses.

multiple choice 1

• 
  
  
  

  
  H
  ₀:p = 0.70;H
  
  _A
  :p ≠ 0.70

  
  
  
  


• 
  
  
  

  
  H
  ₀:p ≤ 0.70;H
  
  _A
  :p > 0.70

  
  
  
  


• 
  
  
  

  
  H
  ₀:p ≥ 0.70;H
  
  _A
  :p <>

  
  
  
  

a-2.Calculate the sample proportion.(Round your answer t
o 3 decimal places.)

a-3.Calculate the value of test statistic.(Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

a-4.Find thep-value.

multiple choice 2

• 
  
  
  

  
  p-value ≤ 0.01

  
  
  
  


• 
  
  
  

  0.01 p-value ≤ 0.025

  
  
  
  


• 
  
  
  

  0.025 p-value ≤ 0.05

  
  
  
  


• 
  
  
  

  0.05 p-value ≤ 0.10

  
  
  
  


• 
  
  
  

  
  p-value > 0.10

  
  
  
  

a-5.What is the conclusion?

multiple choice 3

• 
  
  
  

  Older workers in Asia feel less fulfilled

  
  
  
  


• 
  
  
  

  Older workers in Asia do not feel less fulfilled

  
  
  
  

At the 5% level of significance, test if younger workers in Asia feel more fulfilled than their British counterparts.

b-1.Select the null and the alternative hypotheses.

multiple choice 4

• 
  
  
  

  
  H
  ₀:p = 0.50;H
  
  _A
  :p ≠ 0.50

  
  
  
  


• 
  
  
  

  
  H
  ₀:p ≤ 0.50;H
  
  _A
  :p > 0.50

  
  
  
  


• 
  
  
  

  
  H
  ₀:p ≥ 0.50;H
  
  _A
  :p <>

  
  
  
  

b-2.Calculate the sample proportion.(Round your an
swer to 2 decimal places.)

b-3.Calculate the value of test statistic.(Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

b-4.Find thep-value.

multiple choice 5

• 
  
  
  

  
  p-value ≤ 0.01

  
  
  
  


• 
  
  
  

  0.01 p-value ≤ 0.025

  
  
  
  


• 
  
  
  

  0.025 p-value ≤ 0.05

  
  
  
  


• 
  
  
  

  0.05 p-value ≤ 0.10

  
  
  
  


• 
  
  
  

  
  p-value > 0.10

  
  
  
  

b-5.What is the conclusion?

multiple choice 6

• 
  
  
  

  Younger workers in Asia feel more fulfilled

  
  
  
  


• 
  
  
  

  Younger workers in Asia do not feel more fulfilled