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   In a study, people were observed for about 10 seconds in public places, such as malls...

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Statistics

  

In a study, people were observed for about 10 seconds in publicplaces, such as malls and restaurants, to

          determinewhether they smiled during the randomly chosen 10-secondinterval.  The researchers observed

          600people who were aged 20 years or younger, and 47% of these peoplesmiled.  The researchers also

          observed975 people who were aged 21 years or older, and 32% of these peoplesmiled.  (Treat this data

          asif it were two simple random samples.)

                                               

          a)  Fillin the following table.

Age Range

          

0–20

21+

Number who smiled ()

Total number in sample (

Proportion who smiled ()

     

          b)  Determineand interpret the 95% confidence interval estimate of thedifference between the population

              proportions.

              

         

          c)  Whatdoes this suggest about how often people in these age groupssmile?  Does one group smile

               significantlymore often than the other?  If so, which one?

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