Suppose the genetic mutation for being at risk for canine intervertebral disk disease (IVDD) among chondrodystrophy...

Suppose the genetic mutation for being at risk for canine intervertebral disk disease (IVDD) among chondrodystrophy dogs (long bodied dogs) is 9%.

a. Find the probability that out of 10 randomly sample hot-dog shaped dogs, at least 1 will have IVDD.

Suppose we take a random sample of 150 chondrodystrophy dogs and observe 17 of them to have the genetic mutation. Calculate 95% confidence interval for the true population proportion of chondrodystrophy dogs that have the genetic mutation for being at risk for canine intervertebral disk disease (IVDD).
We read on the PetMD website that “9% of all chondrodystrophy dogs have the genetic mutation for being at risk for canine intervertebral disk disease (IVDD).” Based on the data from part b do we have evidence to refute this claim. Explain.

Solutions

Expert Solution

Let X denotes the number of hot-dog shaped dogs who will have IVDD out of 10 randomly sample hot-dog shaped dogs.

X ~ Binomial(n = 10, p = 0.09)

The probability mass function of X is

Now,

The probability that at least 1 will have IVDD.

b) Let p denotes the true proportion of chondrodystrophy dogs that have the genetic mutation for being at risk for canine intervertebral disk disease (IVDD).

c) Since the confidence interval includes 0.09,so at 95% level of confidence or at 5% level of significance, we can conclude that the true population proportion of chondrodystrophy dogs that have the genetic mutation for being at risk for canine intervertebral disk disease (IVDD) is not significantly different from 0.09.

orchestra answered 1 year ago

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