30 Sep STAT 200 Week 6 Homework
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.
a.) State the random variables and the parameters in words.
b.) State and check the assumptions for confidence interval.
c.) Find the sample statistics and confidence interval of the difference
d.) Provide a statistical interpretation of the confidence interval
e.) Provide a real-world Interpretation of the confidence interval
#2 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.
a.) State the random variables and the parameters in words.
b.) State the null and alternative hypotheses and the level of significance
c.) State and check the assumptions for a hypothesis test
d.) Find the sample statistics, test statistic, and p-value
e.) State the statistical conclusion (in terms of accepting or rejecting the null hypothesis)
f.) Provide a real-world interpretation of the results of the hypothesis test
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