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STAT 200 Week 6 Homework Problems
9.1.2
Many high school students take the AP tests in different subject areas. In 2007, of the 144,796 students who took the biology exam 84,199 of them were female. In that same year, of the 211,693 students who took the calculus AB exam 102,598 of them were female ("AP exam scores," 2013). Estimate the difference in the proportion of female students taking the biology exam and female students taking the calculus AB exam using a 90% confidence level.
P1:84199/144796=0.5815
P2:102598/211693=0.4847
N1:144796 90% CI for difference in p1-p2
N2:211693 =(0.0941, 0.0996)
Za2 for 90%
CI:1.645
9.1.5
Are there more children diagnosed with Autism Spectrum Disorder (ASD) in states that have larger urban areas over states that are mostly rural? In the state of Pennsylvania, a fairly urban state, there are 245 eight year olds diagnosed with ASD out of 18,440 eight year olds evaluated. In the state of Utah, a fairly rural state, there are 45 eight year olds diagnosed with ASD out of 2,123 eight year olds evaluated ("Autism and developmental," 2008). Is there enough evidence to show that the proportion of children diagnosed with ASD in Pennsylvania is more than the proportion in Utah? Test at the 1% level.
P1:pop of children diagnosed with ASD in Utah =0212
P2: “ “in Pennsylvania=0.0133
N1:2123 x1:45
N2:18440 x2:245
Hypothesis: h0:p1=p2 ha:p10
The p-val is greater than 0.05 and it fails to reject the null hypothesis. Therefore, the conclusion is that the west coast fish wholesaler is more expensive than the east coast wholesaler.
9.2.6
The British Department of Transportation studied to see if people avoid driving on Friday the 13th. They did a traffic count on a Friday and then again on a Friday the 13th at the same two locations ("Friday the 13th," 2013). The data for each location on the two different dates is in table #9.2.6. Estimate the mean difference in traf...
Many high school students take the AP tests in different subject areas. In 2007, of the 144,796 students who took the biology exam 84,199 of them were female. In that same year, of the 211,693 students who took the calc...
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