You may believe that each day, married and unmarried women spend the same amount of time per week using Facebook. We would like to test this hypothesis. A random sample of 45 married women who use...

You may believe that each day, married and unmarried women spend the same amount of time per week using Facebook. We would like to test this hypothesis.  A random sample of 45 married women who use Facebook spent an average of 3.0 hours per week on this social media website. A random sample of 39 unmarried women who regularly use Facebook spent an average of 3.4 hours per week. Assume that the weekly Facebook time for married women has a population standard deviation of 1.2 hours, and the population standard deviation for unmarried Facebook users is 1.1 hours per week. Using the 0.05 significance level, do married and unmarried women differ in the amount of time per week spent on Facebook?

1. 
   

   State the decision rule for 0.05 significance level:H
   ₀:μ_married =μ_unmarriedH
   ₁:μ_married≠μ_unmarried.(Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)
   

   
   

1. 
   

   Compute the test statistic.(Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)
   

   
   

1. 
   

   What is thep-value?(Round your answer to 4 decimal places.)
   

   
   

1. 
   

   State your decision about the null hypothesis.

   
   

multiple choice

• 
  
  
  

  
  

  Fail to rejectH
  ₀
  

  
  

  
  
  
  


• 
  
  
  

  
  

  RejectH
  ₀