STAT200 SIU Week 5 Consumer Fraud and Identity Theft Quiz Please see attached file. Fill the answers to the attached file and return. Please show work for

STAT200 SIU Week 5 Consumer Fraud and Identity Theft Quiz Please see attached file. Fill the answers to the attached file and return. Please show work for the answers. STAT 200 Week 5 Homework Problems
7.1.2
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%? State the random
variable, population parameter, and hypotheses.
7.1.6
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 type I and
type II errors in this case, consequences of each error type for this situation, and the appropriate alpha
level to use.
7.2.4
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.
7.2.6
In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum
Disorder (ASD) (“Autism and developmental,” 2008). Nationally 1 in 88 children are diagnosed with ASD
(“CDC features -,” 2013). Is there sufficient data to show that the incident of ASD is more in Arizona
than nationally? Test at the 1% level.
7.3.6
The economic dynamism, which is the index of productive growth in dollars for countries that are
designated by the World Bank as middle-income are in table #7.3.8 (“SOCR data 2008,” 2013). Countries
that are considered high-income have a mean economic dynamism of 60.29. Do the data show that the
mean economic dynamism of middle-income countries is less than the mean for high-income countries?
Test at the 5% level.
Table #7.3.8: Economic Dynamism of Middle Income Countries
25.8057 37.4511
51.915 43.6952 47.8506
41.1648 38.0793 37.7251 39.6553 42.0265
49.1361 61.9281 41.9543 44.9346 46.0521
50.9866 59.1724 39.6282 33.6074 21.6643
43.7178
48.6159
48.3652
58.0767
43.8555
43.6252
7.3.8
Maintaining your balance may get harder as you grow older. A study was conducted to see how steady
the elderly is on their feet. They had the subjects stand on a force platform and have them react to a
noise. The force platform then measured how much they swayed forward and backward, and the data
is in table #7.3.10 (“Maintaining balance while,” 2013). Do the data show that the elderly sway more
than the mean forward sway of younger people, which is 18.125 mm? Test at the 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 of 100. What will happen to the
confidence interval if the sample size decreases to 80?
8.1.8
In 2013, Gallup conducted a poll and found a 95% confidence interval of the proportion of Americans
who believe it is the government’s responsibility for health care. Give the statistical interpretation.
8.2.6
In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum
Disorder (ASD) (“Autism and developmental,” 2008). Find the proportion of ASD in Arizona with a
confidence level of 99%.
8.3.6
The economic dynamism, which is the index of productive growth in dollars for countries that are
designated by the World Bank as middle-income are in table #8.3.9 (“SOCR data 2008,” 2013). Compute
a 95% confidence interval for the mean economic dynamism of middle-income countries.
Table #8.3.9: Economic Dynamism ($) of Middle Income Countries
25.8057 37.4511
51.915 43.6952 47.8506 43.7178
41.1648 38.0793 37.7251 39.6553 42.0265 48.6159
49.1361 61.9281 41.9543 44.9346 46.0521 48.3652
50.9866 59.1724 39.6282 33.6074 21.6643
58.0767
43.8555
43.6252

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