Chapter 8, Problem 52SE

Which Method? A proponent of a new proposition on a ballot wants to know the population percentage of people who support the bill. Suppose a poll is taken, and 580 out of 1000 randomly selected people support the proposition. Should the proponent use a hypothesis test or a confidence interval to answer this question? Explain. If it is a hypothesis test, state the hypotheses and find the test statistic, p-value, and conclusion. Use a $5\%$ significance level. If a confidence interval is appropriate, find the approximate $95\%$ confidence interval. In both cases, assume that the necessary conditions have been met.