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