Please show and answer all the parts of this question.
This is the Confidence Intervals for Proportions in
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 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,
- 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)?