Consider this study conducted: In an observational study of owners walking their
ID: 3359486 • Letter: C
Question
Consider this study conducted: In an observational study of owners walking their dogs, many dog types were studied. If they had only asked whether the English setter and Chihuahua had different rates of being walked at least once per day, the p-value would also have been low: it was less than 0.001. How could the researchers interpret that p-value?
a). The probability that the proportion of walked dogs in the population of the UK is the same for all breeds of dogs is less than 0.001.
b). The probability that the proportion of walked dogs in the population of the UK is different for at least one breed of dogs is less than 0.001.
c). The probability of observing such a large difference in the proportion in the sample being walked among the different breeds, if in reality all breeds in the population of the UK were equally likely to be walked, is less than 0.001.
Explanation / Answer
b). The probability that the proportion of walked dogs in the population of the UK is different for at least one breed of dogs is less than 0.001.