Question: A local TV station claims that 60% of people support Candidate A, 30% support Candidate B, and 10% support Candidate C. A survey of 500 registered voters is taken. The accompanying table indicates how they are likely to vote.
Candidate A Candidate B Candidate C
350 125 25
a. Specify the competing hypotheses to test whether the TV station's claim can be rejected by the data.
b. Use the p -value approach to test the hypothesis at a 1% significance level.