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 575 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 1% significance level. If a confidence interval is appropriate, find the approximate 98% confidence interval. In both cases, assume that the necessary conditions have been met. Should the proponent use a hypothesis test or a confidence interval? A. The proponent should use a hypothesis test because the proponent wants to know whether or not the proposition will pass. B. The proponent should use a confidence interval because the proponent wants to know the proportion of the population who will vote for the proposition. 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. D. Neither is appropriate. C... 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.) A. Ho: p = 0.50 Ha:p> 0.50 C. Ho: P< Ha:p> E. Ho:p> Ha:p< B. Ho: p= Ha: p< D. Ho: p= Ha: p F. A hypothesis test is not the most appropriate approach. The proponent should use a confidence interval.
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 575 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 1% significance level. If a confidence interval is appropriate, find the approximate 98% confidence interval. In both cases, assume that the necessary conditions have been met. Should the proponent use a hypothesis test or a confidence interval? A. The proponent should use a hypothesis test because the proponent wants to know whether or not the proposition will pass. B. The proponent should use a confidence interval because the proponent wants to know the proportion of the population who will vote for the proposition. 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. D. Neither is appropriate. C... 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.) A. Ho: p = 0.50 Ha:p> 0.50 C. Ho: P< Ha:p> E. Ho:p> Ha:p< B. Ho: p= Ha: p< D. Ho: p= Ha: p F. A hypothesis test is not the most appropriate approach. The proponent should use a confidence interval.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 27E: Another friend asks you to explain how to tell whether two events are dependent or independent. How...
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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 575 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 1% significance level. If a confidence interval is appropriate,
find the approximate 98% confidence interval. In both cases, assume that the necessary conditions have been met.
Should the proponent use a hypothesis test or a confidence interval?
A. The proponent should use a hypothesis test because the proponent wants to know whether or not the proposition will pass.
B. The proponent should use a confidence interval because the proponent wants to know the proportion of the population who
will vote for the proposition.
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.
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.)
A.
C.
Ho: p = 0.50
Ha:p> 0.50
Ho: p<
Ha:p>
OE. Ho:p>
Ha:p<
B.
D.
Ho: p=
Ha: p<
Ho: p=
Ha: p
OF. A hypothesis test is not the most appropriate approach.
The proponent should use a confidence interval.
Transcribed Image Text:Find the p-value. Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. p-value = 0.000
(Round to three decimal places as needed.)
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 enough evidence to conclude that the proposition will pass.
B. Reject Ho. There is not enough evidence to conclude that the proposition will pass.
C. Reject Ho. There is enough evidence to conclude that the proposition will pass.
D. Do not reject Ho. There is not enough evidence to conclude that the proposition will pass.
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 98% confidence interval for the population
proportion p. Select the correct choice below and, if necessary, fill in the answer boxes within your choice.
OA. (11)
(Round to two decimal places as needed.)
B. A confidence interval is not the most appropriate approach. The proponent should use a hypothesis test.
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