A proponent of a new proposition on a ballot wants to know whether the proposition is likely to pass. The proposition will pass if it gets more than 50% of the votes. Suppose a poll is taken, and 535 out of 1000 randomly selected people support the proposition. Should the proponent use a hypothesis test or a confidence interval to answer this question? Please find the z score. Use a 2.5% significance level. If a confidence interval is appropriate, find the approximate 95% confidence interval.

Question

A proponent of a new proposition on a ballot wants to know whether the proposition is likely to pass. The proposition will pass if it gets more than​ 50% of the votes. Suppose a poll is​ taken, and 535 out of 1000 randomly selected people support the proposition. Should the proponent use a hypothesis test or a confidence interval to answer this​ question? Please find the z score. Use a 2.5​% significance level. If a confidence interval is​ appropriate, find the approximate 95​% confidence interval.