In Data 4.1 on page 220 we consider an experiment to see if dogs tend to resemble their owners. In the study, 16 of 25 dogs were correctly matched with the owner when two choices were provided. To see if that is more than we would expect by random chance alone, we test H₀: p = 0.5 vs H_a: p > 0.5. Verify whether the sample size is large enough for the CLT to apply. If applicable, complete the details of the test using the standard normal test statistic.

In Data 4.1 on page 220

You may have seen dogs that look like their owners, but is this just a coincidence or do dogs really tend to resemble their owners? To investigate this question statistically, we need data. Roy and Christenfeld conducted a study testing people’s ability to pair a dog with its owner. Pictures were taken of 25 owners and their purebred dogs, selected at random from dog parks. Study participants were shown a picture of an owner together with pictures of two dogs (the owner’s dog and another random dog from the study) and asked to choose which dog most resembled the owner. Of the 25 owners, 16 were paired with the correct dog.2 Is this convincing evidence that dogs tend to resemble
their owners?