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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
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 577 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 2.5% 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. Should the proponent use a hypothesis test or a confidence interval? O A. Neither is appropriate. O B. The proponent should use a confidence interval 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 whether or not the proposition will pass. O D. The proponent should use a confidence interval because the proponent wants to know the proportion of the population who will vote for the proposition. 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.) OA. Ho: P= OB. Ho: P > Ha : p> Ha: pFind the test statistic for the hypothesis test. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. z= (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. Determine the proper conclusion to the hypothesis test. Choose the correct answer below. O A. Reject Ho- There is enough evidence to conclude that the proposition will pass. O B. Reject Ho. There is not enough evidence to conclude that the proposition will pass. O C. Do not reject Ho. There is not enough evidence to conclude that the proposition will pass.O D. Do not reject Ho. There is enough evidence to conclude that the proposition will pass. O E. A hypothesis test is not the most appropriate approach. The proponent should use a confidence interval. If a confidence interval is the most appropriate approach, construct an approximate 95% confidence interval for the population proportion p of voters in favor of the proposition. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. OA. (Round to three decimal places as needed.) O B. A confidence interval is not the most appropriate approach. The proponent should use a hypothesis test
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