A mayoral candidate who currently has the support of only 44% of the voters runs a television advertisement that attacks the character of his opponent. He wants to know if the television ad has changed his support level among voters.

3. After the ad had run for 2 weeks, the pollsters survey a random sample of 400 voters and find that 165 support the candidate. This produces a 95% confidence interval for the proportion of voters who support him of (0.364, 0.461). Use the confidence interval to determine whether this test would reject or fail to reject the null hypothesis. Explain your reasoning.