Question
In: Math
Pay your taxes: According to the Internal Revenue Service, the proportion of federal tax returns for...
Pay your taxes: According to the Internal Revenue Service, the proportion of federal tax returns for which no tax was paid was =p0.326. As part of a tax audit, tax officials draw a simple sample of =n140 tax returns. Use Cumulative Normal Distribution Table as needed. Round your answers to at least four decimal places if necessary.
Part 1 of 4
(a)What is the probability that the sample proportion of tax returns for which no tax was paid is less than 0.29?
| The probability that the sample proportion of tax returns for which no tax was paid is less than 0.29 is ____ |
Part 2 of 4
(b)What is the probability that the sample proportion of tax returns for which no tax was paid is between 0.36 and 0.43?
| The probability that the sample proportion of tax returns for which no tax was paid is between 0.36 and 0.43 is ____ |
Part 3 of 4
(c)What is the probability that the sample proportion of tax returns for which no tax was paid is greater than 0.32?
| The probability that the sample proportion of tax returns for which no tax was paid is greater than 0.32 is ____ |
Part 4 of 4
(d)Would it be unusual if the sample proportion of tax returns for which no tax was paid was less than 0.23?
| It ▼(Would/Would not) be unusual if the sample proportion of tax returns for which no tax was paid was less than 0.23, since the probability is ____. |
Solutions
milcah answered 2 years agoRelated Solutions
According to the Internal Revenue Service, 80% of all tax returns lead to a refund. A...
According to the Internal Revenue Service, 80% of all tax
returns lead to a refund. A random sample of 100 tax returns is
taken, and it was found that 83% of the tax returns in the sample
require a refund. Using the sampling distribution of the
proportion, calculate the probability that the sample proportion
exceeds 85% in the sample of 100 tax returns?
a. 0.1056
b. 0.2266
c. 0.2972
d. 0.0916 30.
In a small town, there are 3,000 registered...
Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year...
Taxes: The Internal Revenue Service reports
that the mean federal income tax paid in the year
2010
was
$8040
. Assume that the standard deviation is
$4700
. The IRS plans to draw a sample of
1000
tax returns to study the effect of a new tax law.
(a) What is the probability that the sample mean tax is less
than
$8000
? Round the answer to at least four decimal places.
The probability that the sample
mean tax is...
Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year...
Taxes: The Internal Revenue Service reports that the mean
federal income tax paid in the year 2010 was $8040.
Assume that the standard deviation is $490. The IRS plans to draw a
sample of 1000 tax returns to study the
effect of a new tax law.
Part 1 of 5
(a) What is the probability that the sample mean tax is less than
$8200? Round the answer to at least four decimal places.
The probability that the sample mean tax...
According to the Internal Revenue Service, income tax returns one year averaged $1,332 in refunds for...
According to the Internal Revenue Service, income tax returns
one year averaged $1,332 in refunds for taxpayers. One explanation
of this figure is that taxpayers would rather have the government
keep back too much money during the year than to owe it money at
the end of the year. Suppose the average amount of tax at the end
of a year is a refund of $1,332, with a standard deviation of $725.
Assume that amounts owed or due on tax...
According to the Internal Revenue Service, income tax returns one year averaged $1,332 in refunds for...
According to the Internal Revenue Service, income tax returns
one year averaged $1,332 in refunds for taxpayers. One explanation
of this figure is that taxpayers would rather have the government
keep back too much money during the year than to owe it money at
the end of the year. Suppose the average amount of tax at the end
of a year is a refund of $1,332, with a standard deviation of $725.
Assume that amounts owed or due on tax...
According to the Internal Revenue Service, income tax returns one year averaged $1,332 in refunds for...
According to the Internal Revenue Service, income tax returns
one year averaged $1,332 in refunds for taxpayers. One explanation
of this figure is that taxpayers would rather have the government
keep back too much money during the year than to owe it money at
the end of the year. Suppose the average amount of tax at the end
of a year is a refund of $1,332, with a standard deviation of $725.
Assume that amounts owed or due on tax...
According to the Internal Revenue Service (IRS), the chances of your tax return being audited are...
According to the Internal Revenue Service (IRS), the chances of
your tax return being audited are about 6 in 1,000 if your income
is less than $50,000; 10 in 1,000 if your income is between $50,000
and $99,999; and 49 in 1,000 if your income is $100,000 or more
(Statistical Abstract of the United States: 1995).
If two taxpayers with incomes under $50,000 are randomly
selected and two with incomes more than $100,000 are randomly
selected, what is the probability...
The Internal Revenue Service sampled 20 tax returns and found that the average tax refund was...
The Internal Revenue Service sampled 20 tax returns and found
that the average tax refund was $425.39 with a standard deviation
of $107.10.
Construct a 99% confidence interval for the mean value of all
tax refunds. Why do we have a use a t-confidence interval instead
of a z-confidence interval for this problem?
According to the Internal Revenue Service, the average income tax refund for the 2011 tax year...
According to the Internal Revenue Service, the average income
tax refund for the 2011 tax year was $2,913. Assume the refund per
person follows the normal probability distribution with a standard
deviation of $950. a. What is the probability that a randomly
selected tax return refund from the 2011 tax year will be 1. more
than $ 2000 2. between $1,600 and $2,500? 3. between $3,200 and
$4,000? b. Confirm the answers to part a using Excel or PH
Stat.
The Internal Revenue Service (IRS) annually processes more than 222 million tax returns. The returns are...
The Internal Revenue Service (IRS) annually processes more than
222 million tax returns. The returns are then converted into
electronic records. The information contained in these records is
protected by law and considered sensitive. Maintaining this type of
information could make the IRS a target for computer
hackers—individuals who attempt to gain unauthorized access to
computers or computer networks.
The IRS has made significant efforts to secure the perimeters of
its computer network from external cyberthreats. Because hackers
cannot gain...
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