A local TV station claims that 52% of people support Candidate A, 35% support Candidate B, and 13% support Candidate C. A survey of 572 registered voters is taken. The accompanying table indicates how they are likely to vote.
Candidate ACandidate BCandidate C34218644
a. Choose the appropriate alternative hypothesis to test whether the TV station's claim can be rejected by the data. At least one of the population proportions differs from its hypothesized value.All population proportions differ from their hypothesized values.
b-1. Calculate the value of the test statistic. (Round intermediate calculations to 4 decimal places and your final answer to 2 decimal places.)
Test statistic
b-2. Approximate the p-value. 0.010 < p-value < 0.025p-value < 0.0050.005 < p-value < 0.0100.025 < p-value < 0.0500.050 < p-value < 0.100
b-3. Interpret your results at a 5% significance level. Reject H0; the TV station's claim cannot be rejectedDo not reject H0; the TV station's claim can be rejectedDo not reject H0; the TV station's claim can be rejectedReject H0; the TV station's claim can be rejected