Help, please. ## Hypothesis Testing and Confidence Interval Example### ScenarioA proponent of a new proposition on a ballot aims to predict whether the proposition is likely to pass, requiring more than 50% of the votes. A poll is conducted, in which 589 out of 1000 randomly selected people express support.**Question:** Should the proponent use a hypothesis test or a confidence interval to evaluate the likelihood of passage?### Hypothesis Testing1. **Null and Alternative Hypotheses Options:** - Option A: - \( H_0: p = \square \) - \( H_1: p < \square \) - Option B: - \( H_0: p = \square \) - \( H_1: p > \square \) - Option C: - \( H_0: p = \square \) - \( H_1: p \neq \square \) - Option D: - \( H_0: p = \square \) - \( H_1: p < \square \) - Option E: - \( H_0: p = \square \) - \( H_1: p > \square \) - Option F: - A hypothesis test is not appropriate; use a confidence interval.2. **Finding the Test Statistic:** - If hypothesis testing is appropriate: - \( z = \square \) (round to two decimal places as needed).3. **P-Value Options:** - \( p\text{-value} = \square \) (round to three decimal places as needed). - A hypothesis test is not appropriate; use a confidence interval.4. **Conclusion Options:** - Don't reject \( H_0 \): Not enough evidence to conclude passage. - Reject \( H_0 \): Evidence indicates passage. - Don't reject \( H_0 \): Enough evidence indicates passage. - Conclusion depends on hypothesis testing or confidence interval.### Confidence Interval- Construct a 95% confidence interval for the population proportion \( p \): - \(( \, , \, )\) (round to two decimal places as needed). - A hypothesis test is a more appropriate tool.### Teaching Points- Selecting between hypothesis testing and confidence interval depends on the specific inquiry.- Proper rounding is vital for precision

Name: Help, please. ## Hypothesis Testing and Confidence Interval Example###
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Help, please. ## Hypothesis Testing and Confidence Interval Example### ScenarioA proponent of a new proposition on a ballot aims to predict whether the proposition is likely to pass, requiring more than 50% of the votes. A poll is conducted, in which

Here, it is observed that the proponent wants to know about the population percentage of people who support the bill.

Math

Statistics

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 pol is taken, and 589 out of 1000 randomly selected pe 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. people support the proposition. Should the proponent use a hypothesis test o ra confidence in OA. Ho p OB. Hi p OC. Hoi pe OD. Hoi p OE Hip OF. Ahypothesis test is not the most appropriate approach. The proponent should use a confidence interval. Find the test statistic for the hypothesis test. Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. z-O (Round to two decimal places as needed.) OB. Ahypothesis 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. OA pvalue (Round to three decimal places as needed.) OB. A hypothesis test is not the most appropriate approach. The proponent should use a oonfidence interval. Determine the proper conclusion to the hypothesis test. Choose the correct answer below. O A. Do not reject Hg. There is not enough evidence to conclude that the proposition will pass. OB. Reject Ho. There is enough evidence to conclude that the proposition will pas OC. Reject Ho. There is not enough evidence to conclude that the proposition will pass. OD. Do not reject Hg. There is enough evidence to conclude that the proposition will pass. OE. A hypothesis test is not the most appropriate approach. The proponent should use a confidence interval. Construct an approximate 95% confidence interval for the population proportion p. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. OA. (Round to two decimal places as needed.) OB. A confidence interval is not the most appropriate approach. The proponent should use a hypothesis test