1. A dog breeder specializes in golden retrievers. The local police department suspects that this breeder is selling puppies with an abnormal amount of hip problems to out of state customers. The department learns that the probability of a golden retriever pup developing hip problems in its first year of life is 10% (.10). How many pups out of a litter of 5 must develop hip problems for the police department to take action against this breeder with 95% confidence that she is guilty?
2. Assume that we are estimating 2 different police officers' service pistol shooting accuracy. The first officer practices almost daily year round. After watching that officer shoot, we estimate that he will make 85% (.85) of the time. The second officer is similarly observed and his accuracy is estimated at 15%. How many hits must the first officer make in a row before you can confidently reject the following null hypothesis (Use the 95% level of confidence):
Ha: The officer's shooting accuracy was incorrectly estimated
Ho: The officer's shooting accuracy was correctly estimated
How many hits must the second officer make in a row in order to confidently reject the same null hypothesis? Use the 95% level of confidence.