Andre read a report saying that 35%, percent of people in his country approved of the job their current Prime Minister was doing, 35%, percent disapproved, and 30%, percent neither approved or disapproved. He wondered if these percentages held true in his city, so he obtained a random sample of 16 responses from people in his city. Here are the results: Opinion Approve Disapprove Neither
Observed counts 5 8 3
Andre wanted to use these results to carry out a \chi^2χ
2
\chi, squared goodness-of-fit test to determine if the sample disagreed with the reported distribution.
Which count(s) make this sample fail the large counts condition for this test?