Question

In: Statistics and Probability

A veterinarian wants to know if pit bulls or golden retrievers have a higher incidence of...

A veterinarian wants to know if pit bulls or golden retrievers have a higher incidence of tooth decay at the age of three. The vet surveys 120 three-year-old pit bulls and finds 30 of them have tooth decay. The vet then surveys 160 three-year-old golden retrievers and finds 32 of them have tooth decay. Number the population of pit bulls and golden retrievers by 1 and 2, respectively. Calculate a 90% confidence interval for the difference in the population proportion of pit bulls and golden retrievers that have tooth decay. Which of the following is correct?

  • [–0.0492, 0.1492]

  • [–0.0332, 0.1332]

  • [0.0428, 0.0572]

  • [0.0199. 0.0801]

Solutions

Expert Solution

We have given,              
              
x1=30          
n1=120          
              
x2=32          
n2=160          
              
Level of significance =   0.1          
Z critical value (by using Z table)=1.645
Estimate for sample proportion 1=
              
Estimate for sample proportion 2 =
              
Confidence interval formula is



=(-0.0332,0.1332)          
              

              
              
Lower limit for confidence interval=-0.0332
              
Upper limit for confidence interval is=0.1332


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