Question: In a city survey, residents are asked if the current mayor has the temperament and integrity they expect in a mayor. The survey polled 520 adults and 234 of them answered "yes". The mayor’s opponents want to determine it is logical to conclude that only a minority(less than half of the population) thought the mayor had the temperament and integrity of a mayor. They do this by using hypothesis testing. Let the null hypothesis be the following: There is no clear opinion on this issue. The residents are split evenly on the integrity of the mayor.

1. Determine the alternative hypothesis.
2. Find the percentage of the sample who answered "yes" and the standard error. (Your answers should be correct to two decimal places.)
3. Find the z-statistic and the p-value.
4. Based on a 5% level, what can we conclude?

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