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

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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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 589 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.
A. Ho: p>
O B. Ho:p=
Ha: p<
Ha:p<
C. Ho:p<|
O D. Ho: P=
Ha: p>
Ha: p#
O E. Ho: p=
O F. A hypothesis test is not the most appropriate approach. The proponent should use a confidence interval.
Ha:p>
Find 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.
A. Do not reject Ho. There is not enough evidence to conclude that the proposition will pass.
B. Reject Ho. There is enough evidence to conclude that the proposition will pass.
C. Reject Ho. There is not enough evidence to conclude that the proposition will pass.
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.
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.
O A.
(Round to two decimal places as needed.)
O B. A confidence interval is not the most appropriate approach. The proponent should use a hypothesis test.
O DO
Transcribed Image Text: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 589 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. A. Ho: p> O B. Ho:p= Ha: p< Ha:p< C. Ho:p<| O D. Ho: P= Ha: p> Ha: p# O E. Ho: p= O F. A hypothesis test is not the most appropriate approach. The proponent should use a confidence interval. Ha:p> Find 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. A. Do not reject Ho. There is not enough evidence to conclude that the proposition will pass. B. Reject Ho. There is enough evidence to conclude that the proposition will pass. C. Reject Ho. There is not enough evidence to conclude that the proposition will pass. 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. 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. O A. (Round to two decimal places as needed.) O B. A confidence interval is not the most appropriate approach. The proponent should use a hypothesis test. O DO
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