# According to the Federal Trade Commission report on consumer fraud and identity theft, 23% of all...

###### Question:

According to the Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. This year, a certain state kept track of how many of its 1250 complaints were for identity theft. They want to know if the data provide enough evidence to show that this state had a lower proportion of identity theft than 23%? State the random variable, population parameter, and hypotheses.

a) The symbol for the random variable involved in this problem is

 SELECT AN ANSWER μ X̄ p p̂ X

b) The wording for the random variable in context is as follows:

 SELECT AN ANSWER The mean number of all complaints filed with the FTC for that state that are for identity theft. Whether or not a randomly selected complaint filed with the FTC for that state is for identity theft. A randomly selected complaint filed with the FTC for that state that is for identity theft The mean number of 1250 randomly selected complaints filed with the FTC for that state that are for identity theft. This percentage of 1250 randomly selected complaints filed with the FTC for that state that are for identify theft. 23% of all complaints filed with the FTC for that state are for identity theft. The percentage of all complaints filed with FTC for that state that are for identity theft. A randomly selected complaint filed with the FTC for that state.

c) The symbol for the parameter involved in this problem is

 SELECT AN ANSWER μ X̄ p p̂ X

d) The wording for the parameter in context is as follows:

 SELECT AN ANSWER The mean number of all complaints filed with the FTC for that state that are for identity theft. Whether or not a randomly selected complaint filed with the FTC for that state is for identity theft. A randomly selected complaint filed with the FTC for that state that is for identity theft The mean number of 1250 randomly selected complaints filed with the FTC for that state that are for identity theft. This percentage of 1250 randomly selected complaints filed with the FTC for that state that are for identify theft. 23% of all complaints filed with the FTC for that state are for identity theft. The percentage of all complaints filed with FTC for that state that are for identity theft. A randomly selected complaint filed with the FTC for that state.

e) Fill in the correct null and alternative hypotheses:

Ho:______, _________ , __________

 SELECT AN ANSWER SELECT AN ANSWER μ ≤ X̄ ≥ p ≠ p̂ = X < >

f)HA:_________, ___________, ________,

 SELECT AN ANSWER SELECT AN ANSWER μ ≤ X̄ ≥ p ≠ p̂ = X < >

g) A Type I error in the context of this problem would be:

 SELECT AN ANSWER Rejecting that the % of all complaints filed with the FTC for that state that are for identity theft is 23 % when the % is really 23% Rejecting that the % of all complaints filed with the FTC for that state that are for identity theft is 23 % when the % is really 23% lower than that Rejecting that the % of all complaints filed with the FTC for that state that are for identity theft is lower from 23 % when the % is really 23% Failing to reject that the % of all complaints filed with the FTC for that state that are for identity theft is 23 % when the % is really 23% Failing to reject that the % of all complaints filed with the FTC for that state that are for identity theft is lower from 23 % when the % is really 23% Failing to reject that the Failing to reject that the

h) A Type II error in the context of this problem would be:

 SELECT AN ANSWER Rejecting that the % of all complaints filed with the FTC for that state that are for identity theft is 23 % when the % is really 23% Rejecting that the % of all complaints filed with the FTC for that state that are for identity theft is 23 % when the % is really 23% lower than that Rejecting that the % of all complaints filed with the FTC for that state that are for identity theft is lower from 23 % when the % is really 23% Failing to reject that the % of all complaints filed with the FTC for that state that are for identity theft is 23 % when the % is really 23% Failing to reject that the % of all complaints filed with the FTC for that state that are for identity theft is lower from 23 % when the % is really 23% Failing to reject that the Failing to reject that the

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