Question

A newsgroup is interested in constructing a 99% confidence
interval for the difference in the proportions of Texans and New
Yorkers who favor a new Green initiative. Of the 575 randomly
selected Texans surveyed, 396 were in favor of the initiative and
of the 564 randomly selected New Yorkers surveyed, 452 were in
favor of the initiative.

a. With 99% confidence the difference in the proportions of Texans
and New Yorkers who favor a new Green initiative is
between and (round to 2 decimal
places).

b. If many groups of 575 randomly selected Texans and 564 randomly
selected New Yorkers were surveyed, then a different confidence
interval would be produced from each group.
About percent of these confidence intervals will contain
the true population proportion of the difference in the proportions
of Texans and New Yorkers who favor a new Green initiative and
about percent will not contain the true population
difference in proportions.

Answer #1

The solution to this problem is given by

A newsgroup is interested in constructing a 99% confidence
interval for the difference in the proportions of Texans and New
Yorkers who favor a new Green initiative. Of the 517 randomly
selected Texans surveyed, 363 were in favor of the initiative and
of the 526 randomly selected New Yorkers surveyed, 464 were in
favor of the initiative. Round to 3 decimal places where
appropriate.
If the assumptions are met, we are 99% confident that the
difference in population proportions of...

A newsgroup is interested in constructing a 90% confidence
interval for the difference in the proportions of Texans and New
Yorkers who favor a new Green initiative. Of the 605 randomly
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of the 579 randomly selected New Yorkers surveyed, 457 were in
favor of the initiative.
a. With 90% confidence the difference in the proportions of Texans
and New Yorkers who favor a new Green initiative is between (round...

A newsgroup is interested in constructing a 90% confidence
interval for the difference in the proportions of Texans and New
Yorkers who favor a new Green initiative. Of the 525 randomly
selected Texans surveyed, 400 were in favor of the initiative and
of the 569 randomly selected New Yorkers surveyed, 474 were in
favor of the initiative. Round to 3 decimal places where
appropriate. If the assumptions are met, we are 90% confident that
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surveyed, 414 were in favor of the initiative.
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A newsgroup is interested in constructing a 90% confidence
interval for the proportion of all Americans who are in favor of a
new Green initiative. Of the 558 randomly selected Americans
surveyed, 379 were in favor of the initiative. Round answers to 4
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interval for the proportion of all Americans who are in favor of a
new Green initiative. Of the 594 randomly selected Americans
surveyed, 405 were in favor of the initiative. Round answers to 4
decimal places where possible.
a. With 95% confidence the proportion of all Americans who favor
the new Green initiative is between and .
b. If many groups of 594 randomly selected Americans were
surveyed, then a different...

A newsgroup is interested in constructing a 90% confidence
interval for the proportion of all Americans who are in favor of a
new Green initiative. Of the 577 randomly selected Americans
surveyed, 392 were in favor of the initiative. Round answers to 2
decimal places where possible.
a. With 90% confidence the proportion of all Americans who
favor the new Green initiative is between and .
b. If many groups of 577 randomly selected Americans were
surveyed, then a different...

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interval for the proportion of all Americans who are in favor of a
new Green initiative. Of the 543 randomly selected Americans
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decimal places where possible.
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interval for the proportion of all Americans who are in favor of a
new Green initiative. Of the 536 randomly selected Americans
surveyed, 407 were in favor of the initiative. Round answers to 4
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a. With 90% confidence the proportion of all Americans who favor
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A newsgroup is interested in constructing a 95% confidence
interval for the proportion of all Americans who are in favor of a
new Green initiative. Of the 584 randomly selected Americans
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2 decimal places where possible.
a. With 95% confidence the proportion of all Americans who favor
the new Green initiative is between answer _______ and answer
_______.
b. If many groups of 584 randomly selected Americans were
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