Question: Ladies Home Journal magazine reported that 66% of all dog owners greet their dog before greeting their spouse or children when they return home at the end of the workday. Assume that this claim is true. Suppose 12 dog owners are selected at random. Let X = the number of owners who greet their dogs first.
(a) Explain why it is reasonable to use the binomial distribution for probability calculations involving X.
(b) Only 4 of the owners in the random sample greeted their dogs first. Does this give convincing evidence against the Ladies Home Journal claim? Calculate an appropriate probability to support your answer.