A researcher is investigating the claim that the proportion of television viewers who identify one of four shows as their favorite is the same for all four shows. A χ2 goodness-of-fit test at a significance level of α=0.05 produced the test statistic χ2=8.95 with a corresponding p-value of 0.03. Which of the following is correct?
1) Reject the null hypothesis.
2) Fail to reject the null hypothesis.
3) The test is inconclusive.
4) The alternative hypothesis is proven.