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]

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

orchestra answered 3 years ago

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