7.1.2

According to the February 2008 Federal Trade Commission reporton consumer fraud and identity theft, 23% of all complaints in 2007were for identity theft.  In that year, Alaska had 321complaints of identity theft out of 1,432 consumer complaints("Consumer fraud and," 2008). Does this data provide enoughevidence to show that Alaska had a lower proportion of identitytheft than 23%? State the random variable, population parameter,and hypotheses.

7.1.6

According to the February 2008 Federal Trade Commission reporton consumer fraud and identity theft, 23% of all complaints in 2007were for identity theft.  In that year, Alaska had 321complaints of identity theft out of 1,432 consumer complaints("Consumer fraud and," 2008).  Does this data provideenough evidence to show that Alaska had a lower proportion ofidentity theft than 23%?  State the type I and type IIerrors in this case, consequences of each error type for thissituation, and the appropriate alpha level to use.

7.2.4

According to the February 2008 Federal Trade Commission reporton consumer fraud and identity theft, 23% of all complaints in 2007were for identity theft.  In that year, Alaska had 321complaints of identity theft out of 1,432 consumer complaints("Consumer fraud and," 2008). Does this data provide enoughevidence to show that Alaska had a lower proportion of identitytheft than 23%? Test at the 5% level.

7.2.6

In 2008, there were 507 children in Arizona out of 32,601 whowere diagnosed with Autism Spectrum Disorder (ASD) ("Autism anddevelopmental," 2008).  Nationally 1 in 88 children arediagnosed with ASD ("CDC features -," 2013).  Is theresufficient data to show that the incident of ASD is more in Arizonathan nationally?  Test at the 1% level.

7.3.6

The economic dynamism, which is the index of productive growthin dollars for countries that are designated by the World Bank asmiddle-income are in table #7.3.8 ("SOCR data 2008,"2013).  Countries that are considered high-income have amean economic dynamism of 60.29.  Do the data show thatthe mean economic dynamism of middle-income countries is less thanthe mean for high-income countries?  Test at the 5%level.

Table #7.3.8: EconomicDynamism of Middle Income Countries

25.8057	37.4511	51.915	43.6952	47.8506	43.7178	58.0767
41.1648	38.0793	37.7251	39.6553	42.0265	48.6159	43.8555
49.1361	61.9281	41.9543	44.9346	46.0521	48.3652	43.6252
50.9866	59.1724	39.6282	33.6074	21.6643

7.3.8

Maintaining your balance may get harder as you growolder.  A study was conducted to see how steady theelderly is on their feet.  They had the subjects stand ona force platform and have them react to a noise.  Theforce platform then measured how much they swayed forward andbackward, and the data is in table #7.3.10 ("Maintaining balancewhile," 2013). Do the data show that the elderly sway more than themean forward sway of younger people, which is 18.125 mm? Test atthe 5% level.

Table #7.3.10:Forward/backward Sway (in mm) of Elderly Subjects

19

30

20

19

29

25

21

24

50

8.1.4

Suppose you compute a confidence interval with a sample size of100.  What will happen to the confidence interval if thesample size decreases to 80?

8.1.8

In 2013, Gallup conducted a poll and found a 95% confidenceinterval of the proportion of Americans who believe it is thegovernment’s responsibility for health care.  Give thestatistical interpretation.

8.2.6

In 2008, there were 507 children in Arizona out of 32,601 whowere diagnosed with Autism Spectrum Disorder (ASD) ("Autism anddevelopmental," 2008).  Find the proportion of ASD inArizona with a confidence level of 99%.

8.3.6

The economic dynamism, which is the index of productive growthin dollars for countries that are designated by the World Bank asmiddle-income are in table #8.3.9 ("SOCR data 2008,"2013).  Compute a 95% confidence interval for the meaneconomic dynamism of middle-income countries.

Table #8.3.9: EconomicDynamism ($) of Middle Income Countries

25.8057	37.4511	51.915	43.6952	47.8506	43.7178	58.0767
41.1648	38.0793	37.7251	39.6553	42.0265	48.6159	43.8555
49.1361	61.9281	41.9543	44.9346	46.0521	48.3652	43.6252
50.9866	59.1724	39.6282	33.6074	21.6643