STAT 200 Week 5 Homework Problems Denize_Shy. (Approach-3), University of Maryland University College (UMUC)

1) 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. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%? State the random variable, population parameter, and hypotheses. Solution: Random variable: x = number of consumer complaints from identity theft in Alaska Population parameter = proportion of consumer complaints from identity theft in Alaska Hypotheses = Ho : P= 0.23 Ha : P <0.23 2) 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. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%? Test at the 5% level.