2. There are 5 existing subspecies of cheetah³ (we'll use these descriptors: A, NA, SA, S, T), but it is challenging to tell them apart genetically because they only retain 0.1-4% of the overall genetic variation seen in most living species. The wrist fusing seen in Masika, is an uncommon defective trait in cheetahs and each subspecies have differing rates in which this trait occurs. Subspecies A have a 3 percent rate of having this trait, Subspecies NA has a 5 percent rate, Subspecies SA has a 10 percent rate, Subspecies S has a 1 percent rate, and Subspecies T has a 15 percent rate. Since subspecies S are the least likely to have this trait, the Species Survival Plan wants to make sure they preserve genetic material from this species in the "Frozen Zoo" at the San Diego Zoo. Recently, the operators at the Frozen Zoo found a very large batch of samples of cheetah genetic material that was unlabeled. To determine which subspecies it came from, the company selected from the batch a random sample of 80 DNA samples and found 10 of them carried the genetic markers for fused wrists. (a) Construct and interpret a 90% confidence interval for the proportion of DNA samples with the genetic marker for fused wrists. (b) Does the interval calculated in part (a) allow the Frozen Zoo operators to clearly determine the subspecies of cheetah that the DNA came from? Explain.
2. There are 5 existing subspecies of cheetah³ (we'll use these descriptors: A, NA, SA, S, T), but it is challenging to tell them apart genetically because they only retain 0.1-4% of the overall genetic variation seen in most living species. The wrist fusing seen in Masika, is an uncommon defective trait in cheetahs and each subspecies have differing rates in which this trait occurs. Subspecies A have a 3 percent rate of having this trait, Subspecies NA has a 5 percent rate, Subspecies SA has a 10 percent rate, Subspecies S has a 1 percent rate, and Subspecies T has a 15 percent rate. Since subspecies S are the least likely to have this trait, the Species Survival Plan wants to make sure they preserve genetic material from this species in the "Frozen Zoo" at the San Diego Zoo. Recently, the operators at the Frozen Zoo found a very large batch of samples of cheetah genetic material that was unlabeled. To determine which subspecies it came from, the company selected from the batch a random sample of 80 DNA samples and found 10 of them carried the genetic markers for fused wrists. (a) Construct and interpret a 90% confidence interval for the proportion of DNA samples with the genetic marker for fused wrists. (b) Does the interval calculated in part (a) allow the Frozen Zoo operators to clearly determine the subspecies of cheetah that the DNA came from? Explain.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:2. There are 5 existing subspecies of cheetah³ (we'll use these descriptors: A, NA, SA, S, T), but it is challenging to
tell them apart genetically because they only retain 0.1-4% of the overall genetic variation seen in most living
species. The wrist fusing seen in Masika, is an uncommon defective trait in cheetahs and each subspecies have
differing rates in which this trait occurs. Subspecies A have a 3 percent rate of having this trait, Subspecies NA
has a 5 percent rate, Subspecies SA has a 10 percent rate, Subspecies S has a 1 percent rate, and Subspecies T has
a 15 percent rate. Since subspecies S are the least likely to have this trait, the Species Survival Plan wants to
make sure they preserve genetic material from this species in the "Frozen Zoo" at the San Diego Zoo. Recently,
the operators at the Frozen Zoo found a very large batch of samples of cheetah genetic material that was
unlabeled. To determine which subspecies it came from, the company selected from the batch a random sample
of 80 DNA samples and found 10 of them carried the genetic markers for fused wrists.
(a) Construct and interpret a 90% confidence interval for the proportion of DNA samples with the genetic
marker for fused wrists.
(b) Does the interval calculated in part (a) allow the Frozen Zoo operators to clearly determine the
subspecies of cheetah that the DNA came from? Explain.
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