It is claimed that 20% of dog owners have at least two dogs. A researcher believes that more than 20% of dog owners have at least two dogs. A random sample of data is gathered from 200 dog owners,...

1. It is claimed that 20% of dog owners have at least two dogs. A researcher believes that more than 20% of dog owners have at least two dogs.  A random sample of data is gathered from 200 dog owners, and, within the sample, 32% of the surveyed dog owners said they have two or more dogs.  When asked to indicate what the hypotheses are for this example, the following hypotheses are given. What is the mistake?

H_o:
p
= 0.32

H_a:
p
> 0.32