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According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft

According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft ('Consumer fraud and,' 2008). Assume a state had 365 complaints of identity theft out of 1550 consumer complaints . Calculate a 99% confidence interval for the proportion of all complaints that are complaints of identity theft in that state. P: Parameter What is the correct parameter symbol for this problem? ? X N p X s p n What is the wording of the parameter in the context of this problem? Select an answer A randomly selected consumer complaint in that state The percentage of all consumer complaints in that state that are for identity theft The percentage of 1550 randomly selected consumer complaints in that state that are for identity theft All consumer complaints in that state that are are for identity theft Whether or not a randomly selected consumer complaint in that state is for identity theft A randomly selected consumer complaint in that state that is for identity theft 1550 randomly selected consumer complaints in that state All consumer complaints in that state A: Assumptions

  • Since Select an answer quantitative qualitative information was collected from each object, what conditions do we need to check? Check all that apply.

  • n30n30 or normal population.
  • n(1p)10n(1-p)10
  • is unknown.
  • is known.
  • N20nN20n
  • n(p)10n(p)10

Check those assumptions: 1. npnp^= which is ? = 2. n(1p)n(1-p^)= which is ? = 3. NN= which is ? =

If no N is given in the problem, use 1000000

N: Name the procedure The conditions are met to use a Select an answer T-Interval 1-Proportion Z-Interval . I: Interval and point estimate The symbol and value of the point estimate on this problem are as follows: ? p N n s X p X = Leave answer as a fraction. The interval estimate for ? X s n N X p p is ( , )

Round endpoints to 3 decimal places. C: Conclusion

  • We are % confident that Select an answer All consumer complaints in that state that are are for identity theft A randomly selected consumer complaint in that state that is for identity theft All consumer complaints in that state The percentage of all consumer complaints in that state that are for identity theft The percentage of 1550 randomly selected consumer complaints in that state that are for identity theft 1550 randomly selected consumer complaints in that state A randomly selected consumer complaint in that state Whether or not a consumer complaint in that state is for identity theft is between % and %

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