It the 1980s, it was generally believed that congenital abnormalities affected about 6% of a large nation's children. Some people believe that the increase in the number of chemicals in the environment has led to an increase in the incidence of abnormalities. A recent study examined 401 randomly selected children and found that 28 of them showed signs of an abnormality. Is this strong evidence that the risk has increased? (We consider a P-value of around 5% to represent reasonable evidence.) Complete parts a through f. Assume the independence assumption is met. a) Write appropriate hypotheses. Let p be the proportion of children with genetic abnormalities. Choose the correct answer below. O A. H: p=0.06 vs. H: p<0.06 OB. H: p= 0.06 vs. H: p#0.06 OC. Ho: p= 0.0698 vs. Ha: p>0.0698 O D. H,: p= 0.06 vs. Ha: p>0.06 O E. Ho: p= 0.0698 vs. Ha: p#0.0698 OF. H,: p= 0.0698 vs. H:p<0.0698 b) Check the necessary assumptions. Which of the following are satisfied? Select all that apply. O A. There are more than 10 successes and 10 failures. O B. The independence assumption satisfied. O c. The sample is random. O D. Less than 10% of the population was sampled. c) Perform the mechanics of the test. What is the P-value? P-value = (Round to three decimal places as needed.) d) Explain carefully what the P-value means in this context. Choose the correct answer below. O A. The P-value is the chance of observing 6% of children with genetic abnormalities. O B. The P-value is the chance of observing 28 or more children with genetic abnormalities in a random sample of 401 children. OC. The P-value is the actual percentage of children who have genetic abnormalities. (1,1) More
It the 1980s, it was generally believed that congenital abnormalities affected about 6% of a large nation's children. Some people believe that the increase in the number of chemicals in the environment has led to an increase in the incidence of abnormalities. A recent study examined 401 randomly selected children and found that 28 of them showed signs of an abnormality. Is this strong evidence that the risk has increased? (We consider a P-value of around 5% to represent reasonable evidence.) Complete parts a through f. Assume the independence assumption is met. a) Write appropriate hypotheses. Let p be the proportion of children with genetic abnormalities. Choose the correct answer below. O A. H: p=0.06 vs. H: p<0.06 OB. H: p= 0.06 vs. H: p#0.06 OC. Ho: p= 0.0698 vs. Ha: p>0.0698 O D. H,: p= 0.06 vs. Ha: p>0.06 O E. Ho: p= 0.0698 vs. Ha: p#0.0698 OF. H,: p= 0.0698 vs. H:p<0.0698 b) Check the necessary assumptions. Which of the following are satisfied? Select all that apply. O A. There are more than 10 successes and 10 failures. O B. The independence assumption satisfied. O c. The sample is random. O D. Less than 10% of the population was sampled. c) Perform the mechanics of the test. What is the P-value? P-value = (Round to three decimal places as needed.) d) Explain carefully what the P-value means in this context. Choose the correct answer below. O A. The P-value is the chance of observing 6% of children with genetic abnormalities. O B. The P-value is the chance of observing 28 or more children with genetic abnormalities in a random sample of 401 children. OC. The P-value is the actual percentage of children who have genetic abnormalities. (1,1) More
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:It the 1980s, it was generally believed that congenital abnormalities affected about 6% of a large nation's children. Some people believe that the increase in the number of chemicals in the environment has led to an increase in the incidence of
abnormalities. A recent study examined 401 randomly selected children and found that 28 of them showed signs of an abnormality. Is his strong evidence that the risk has increased? (We consider a P-value of around 5% to represent reasonable
evidence.) Complete parts a through f. Assume the independence assumption is met.
d) Explain carefully what the P-value means in this context. Choose the correct answer below.
O A. The P-value is the chance of observing 6% of children with genetic abnormalities.
O B. The P-value is the chance of observing 28 or more children with genetic abnormalities in a random sample of 401 children.
Oc. The P-value is the actual percentage of children who have genetic abnormalities.
O D. The P-value is the chance of observing 28 or more children with genetic abnormalities in a random sample of 401 children if 6% of children actually have genetic abnormalities.
e) What's your conclusion?
O A. Reject H. There is sufficient evidence that more than 6% of the nation's children have genetic abnormalities.
O B. Fail to reject Hn. There is not sufficient evidence that more than 6% of the nation's children have genetic abnormalities.
O C. Reject Ho. There is not sufficient evidence that more than 6% of the nation's children have genetic abnormalities.
O D. Fail to reject H. There is sufficient evidence that more than 6% of the nation's children have genetic abnormalities.
f) Do environmental chemicals cause congenital abnormalities?
O A. No, the conclusion of the hypothesis test shows that environmental chemicals do not cause genetic abnormalities.
O B. Yes, the conclusion of the hypothesis test shows that environmental chemicals cause genetic abnormalities.
O C. It is unknown if environmental chemicals cause genetic abnormalities, because the hypothesis test does not indicate the cause of any changes.
1.
(1,1)
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Transcribed Image Text:It the 1980s, it was generally believed that congenital abnormalities affected about 6% of a large nation's children. Some people believe that the increase in the number of chemicals in the environment has led to an increase in the incidence of
abnormalities. A recent study examined 401 randomly selected children and found that 28 of them showed signs of an abnormality. Is his strong evidence that the risk has increased? (We consider a P-value of around 5% to represent reasonable
evidence.) Complete parts a through f. Assume the independence assumption is met.
a) Write appropriate hypotheses. Let p be the proportion of children with genetic abnormalities. Choose the correct answer below.
O A. Ho: p= 0.06 vs. Ha: p<0.06
ОВ. На: р30.06 vs. Hд: р#0.06
OC. H;: p= 0.0698 vs. Ha: p>0.0698
O D. Ho: p= 0.06 vs. Ha: p>0.06
O E. Ho: p = 0.0698 vs. Ha:p#0.0698
O F. Ho: p= 0.0698 vs. Ha: p<0.0698
b) Check the necessary assumptions. Which of the following are satisfied? Select all that apply.
O A. There are more than 10 successes and 10 failures.
O B. The independence assumption is satisfied.
O C. The sample is random.
O D. Less than 10% of the population was sampled.
c) Perform the mechanics of the test. What is the P-value?
P-value =
(Round to three decimal places as needed.)
d) Explain carefully what the P-value means in this context. Choose the correct answer below.
O A. The P-value is the chance of observing 6% of children with genetic abnormalities.
O B. The P-value is the chance of observing 28 or more children with genetic abnormalities in a random sample of 401 children.
O C. The P-value is the actual percentage of children who have genetic abnormalities.
(1,1)
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Click to select your answer(s).
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