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 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 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? (If both a hypothesis test and a confidence interval could be used, choose the simpler one.) 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. A hypothesis test would be impossible. 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. However, the proponent could also use a hypothesis test. C. The proponent should use a hypothesis test because the proponent wants to know whether or not the proposition will pass. A confidence interval would be useless. D. The proponent should use a hypothesis test because the proponent wants to know whether or not the proposition will pass. However, the proponent could also use a confidence interval. 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. H0: p=nothing Ha: pnothing C. H0: p>nothing Ha: pnothing F. Hypotheses are not appropriate. 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. A. z=nothing (Round to two decimal places as needed.) B. A test statistic is not appropriate. 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. A. p-value=nothing (Round to three decimal places as needed.) B. A p-value is not appropriate. The proponent should use a confidence interval. Determine the proper conclusion to the hypothesis test. Choose the correct answer below. A. Do not reject H0. There is enough evidence to conclude that the proposition will pass. B. Do not reject H0. There is not enough evidence to conclude that the proposition will pass. C. Reject H0. There is enough evidence to conclude that the proposition will pass. D. Reject H0. There is not enough evidence to conclude that the proposition will pass. E. A test conclusion is not appropriate. The proponent should use a confidence interval. Construct an approximate 90% 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. A. , (Round to three decimal places as needed.) B. A confidence interval is not appropriate. The proponent should use a hypothesis test. Click to select and enter your answer(s).

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 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 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? (If both a hypothesis test and a confidence interval could be used, choose the simpler one.) 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. A hypothesis test would be impossible. 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. However, the proponent could also use a hypothesis test. C. The proponent should use a hypothesis test because the proponent wants to know whether or not the proposition will pass. A confidence interval would be useless. D. The proponent should use a hypothesis test because the proponent wants to know whether or not the proposition will pass. However, the proponent could also use a confidence interval. 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. H0: p=nothing Ha: pnothing C. H0: p>nothing Ha: pnothing F. Hypotheses are not appropriate. 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. A. z=nothing (Round to two decimal places as needed.) B. A test statistic is not appropriate. 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. A. p-value=nothing (Round to three decimal places as needed.) B. A p-value is not appropriate. The proponent should use a confidence interval. Determine the proper conclusion to the hypothesis test. Choose the correct answer below. A. Do not reject H0. There is enough evidence to conclude that the proposition will pass. B. Do not reject H0. There is not enough evidence to conclude that the proposition will pass. C. Reject H0. There is enough evidence to conclude that the proposition will pass. D. Reject H0. There is not enough evidence to conclude that the proposition will pass. E. A test conclusion is not appropriate. The proponent should use a confidence interval. Construct an approximate 90% 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. A. , (Round to three decimal places as needed.) B. A confidence interval is not appropriate. The proponent should use a hypothesis test. Click to select and enter your answer(s).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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Related questions

Concept explainers

Question

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

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

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? (If both a hypothesis test and a confidence interval could be used, choose the simpler one.)

The proponent should use a confidence interval because the proponent wants to know the proportion of the population who will vote for the proposition. A hypothesis test would be impossible.

The proponent should use a confidence interval because the proponent wants to know the proportion of the population who will vote for the proposition. However, the proponent could also use a hypothesis test.

The proponent should use a hypothesis test because the proponent wants to know whether or not the proposition will pass. A confidence interval would be useless.

The proponent should use a hypothesis test because the proponent wants to know whether or not the proposition will pass. However, the proponent could also use a confidence interval.

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.)

H0:

p=nothing

Ha:

p<nothing

H0:

p<nothing

Ha:

p>nothing

H0:

p>nothing

Ha:

p<nothing

H0:

p=nothing

Ha:

p≠nothing

H0:

p=nothing

Ha:

p>nothing

Hypotheses are not appropriate. 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.

z=nothing

(Round to two decimal places as needed.)

A test statistic is not appropriate. 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.

p-value=nothing

(Round to three decimal places as needed.)

A p-value is not appropriate. The proponent should use a confidence interval.

Determine the proper conclusion to the hypothesis test. Choose the correct answer below.

Do not reject

H0.

There

enough evidence to conclude that the proposition will pass.

Do not reject

H0.

There

is not

enough evidence to conclude that the proposition will pass.

Reject

H0.

There

enough evidence to conclude that the proposition will pass.

Reject

H0.

There

is not

enough evidence to conclude that the proposition will pass.

A test conclusion is not appropriate. The proponent should use a confidence interval.

Construct an approximate

90%

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.

(Round to three decimal places as needed.)

A confidence interval is not appropriate. The proponent should use a hypothesis test.

Click to select and enter your answer(s).

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