Question

**Please show and answer all the parts of this question.
This is the Confidence Intervals for Proportions in
Statistics**

Unwanted calls (including illegal and spoofed robocalls) are the
FCC's top consumer complaint. The United States is the
8^{th} most spammed country in the world, and the annoying
calls are on the rise according to a new report. Suppose that a
spammer is testing a scheme to get people to buy something over the
phone and getting the “customer” to provide credit card
information. He wants to test his scheme in the following way. He
has hacked another company’s customer list containing all 200,000
of its customers’ phone numbers. He randomly calls 1,000 of these
customers, and he is able to get 123 of the called customers to
reveal their credit card information.

- Create a 90% confidence interval for the true proportion p for all 200,000 customers on his list who might reveal credit card information if in fact he decides to call all 200,000 of them. Be sure to check all necessary assumptions and conditions.
- Explain what your interval means by explaining what “90% confidence” means in this context.
- The scammer only wants to call all 200,000 people on the customer list if he thinks he will be able to convince at least 5% of them to reveal their credit card information. What does you confidence interval imply about this?
- In the interval you constructed in a), the probability that the true population proportion p is actually in your specified interval is .90. True or False (and if false, why)?
- Generally speaking, for two confidence intervals with the same level of confidence and with random samples from the same population, the interval with the larger sample size has a better chance of containing the population parameter being estimated. True of False (and if false, why)?

Answer #1

Please show and answer all the parts of this
question.
Unwanted calls (including illegal and spoofed robocalls) are the
FCC's top consumer complaint. The United States is the
8th most spammed country in the world, and the annoying
calls are on the rise according to a new report. Suppose that a
spammer is testing a scheme to get people to buy something over the
phone and getting the “customer” to provide credit card
information. He wants to test his scheme...

Unwanted calls (including illegal and spoofed robocalls) are the
FCC's top consumer complaint. The United States is the 8th most
spammed country in the world, and the annoying calls are on the
rise according to a new report. Suppose that a spammer is testing a
scheme to get people to buy something over the phone and getting
the “customer” to provide credit card information. He wants to test
his scheme in the following way. He has hacked another company’s
customer...

Unwanted calls (including illegal and spoofed robocalls) are the
FCC's top consumer complaint. The United States is the 8th most
spammed country in the world, and the annoying calls are on the
rise according to a new report.
Suppose that a spammer is testing a scheme to get people to buy
something over the phone and getting the “customer” to provide
credit card information. He wants to test his scheme in the
following way. He has hacked another company’s customer...

1 - Which of the following statements is true regarding a 95%
confidence interval? Assume numerous large samples are taken from
the population.
a. In 95% of all samples, the sample proportion will fall within 2
standard deviations of the mean, which is the true proportion for
the population.
b. In 95% of all samples, the true proportion will fall within 2
standard deviations of the sample proportion.
c. If we add and subtract 2 standard deviations to/from the sample...

You are interested in constructing a 95% confidence interval for
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A. With 95% confidence the proportion of all Americans who
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[ Select...

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confidence interval for the proportion of smart phones that break
before the warranty expires. 83 of the 1543 randomly selected smart
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a. With 90% confidence the proportion of all smart phones that
break before the warranty expires is between answer ____ and answer
______.
b. If many groups of 1543 randomly selected smart phones are
selected, then a different confidence interval would be produced...

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for the mean annual income of its customers, in thousands of
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about the confidence interval:
Calculation of the confidence interval assumed annual income is
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There is a 90% chance that the mean annual income of the
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The confidence interval...

The focus this week is on confidence intervals. Utilize the
following information and answer the questions below: A 95%
confidence interval obtained from a sample of 100 outpatients for
the true population mean normal mean systolic blood pressure is
given by (114 mmHG, 120 mmHG).
Provide a correct interpretation of this interval. Can you
think of other interpretations that would also be correct?
This confidence interval came from a single sample, would we
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You are interested in constructing a 90% confidence interval for
the proportion of all caterpillars that eventually become
butterflies. Of the 439 randomly selected caterpillars observed, 45
lived to become butterflies. Round answers to 4 decimal places
where possible.
a. With 90% confidence the proportion of all caterpillars that
lived to become a butterfly is between and .
b. If many groups of 439 randomly selected caterpillars were
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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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proportion of all Americans who favor the new Green initiative is
between and . b. If many groups of 558 randomly selected Americans
were surveyed, then a different...

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