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 578 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 90% confidence interval. In both cases, assume that the necessary conditions have been met. Should the proponent use a hypothesis test or a confidence interval? O A. The proponent should use a confidence interval because the proponent wants to know the proportion of the population who will vote for the proposition. B. The proponent should use a hypothesis test because the proponent wants to know whether or not the proposition will pass. O C. The proponent should use a hypothesis test because the proponent wants to know the proportion of the population who will vote for the proposition. O D. Neither is appropriate. If a hypothesis test is the most appropriate approach, determine the null and alternative hypotheses for the hypothesis test. Let p denote the population proportion of voters in favor of the proposition. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. (Type integers or decimals. Do not round.) O A. Ho: P= O B. Ho: P > Ha: p# Ha: P Ha: P 0.50 Find the test statistic for the hypothesis test. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. Z= 4.93 (Round to two decimal places as needed.) O B. A hypothesis test is not the most appropriate approach. The proponent should use a confidence interval. Find the p-value. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. p-value = (Round to three decimal places as needed.) O B. A hypothesis test is not the most appropriate approach. The proponent should use a confidence interval