Dogs Ignore an Unreliable Person A study investigated whether dogs change their behavior depending on whether a person displays reliable or unreliable behavior. Dogs were shown two containers, one empty and one containing a dog biscuit. An experimenter pointed to one of the two containers. If the experimenter pointed to the container with the treat on the first trial, 16 of 26 dogs followed the experimenter's cue on the second trial. However, if the experimenter misled the dog on the first trial, only 7 of 26 dogs followed the cue on the second trial. Test to see if the proportion following the cue is different depending on whether the person exhibited reliable or unreliable behavior. The standard error for the difference in proportions is 0.138 . Use a \(5 \%\) significance level and show all details of the test.