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c) Perform the mechanics of the test. What is the P-value? P-value = (Round to three decimal places as needed.)

c) Perform the mechanics of the test. What is the P-value? P-value = (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
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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It the 1980s, it was generally believed that congenital abnormalities affected about 7% 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 426 randomly selected children and found that 34 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. Ho: p=0.07 vs. HA: P = 0.07 B. Ho: p=0.07 vs. HA: p > 0.07 O C. Ho: p=0.0798 vs. HA: p>0.0798 O E. Ho: p=0.0798 vs. HA: P# 0.0798 b) Check the necessary assumptions. Which of the following are satisfied? Select all that apply. A. The independence assumption is satisfied. B. Less than 10% of the population was sampled. C. The sample is random. D There are more than 10 successes and 10 failures. c) Perform the mechanics of the test. What is the P-value? P-value = (Round to three decimal places as needed.) O D. Ho: p=0.07 vs. HA: P<0.07 O F. Ho: p=0.0798 vs. HA: P<0.0798
Transcribed Image Text:It the 1980s, it was generally believed that congenital abnormalities affected about 7% 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 426 randomly selected children and found that 34 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. Ho: p=0.07 vs. HA: P = 0.07 B. Ho: p=0.07 vs. HA: p > 0.07 O C. Ho: p=0.0798 vs. HA: p>0.0798 O E. Ho: p=0.0798 vs. HA: P# 0.0798 b) Check the necessary assumptions. Which of the following are satisfied? Select all that apply. A. The independence assumption is satisfied. B. Less than 10% of the population was sampled. C. The sample is random. D There are more than 10 successes and 10 failures. c) Perform the mechanics of the test. What is the P-value? P-value = (Round to three decimal places as needed.) O D. Ho: p=0.07 vs. HA: P<0.07 O F. Ho: p=0.0798 vs. HA: P<0.0798
d) Explain carefully what the P-value means in this context. Choose the correct answer below. OA. The P-value is the actual percentage of children who have genetic abnormalities. OB. The P-value is the chance of observing 30 or more children with genetic abnormalities in a random sample of 394 children. c. The P-value is the chance of observing 30 or more children with genetic abnormalities in a random sample of 394 children if 7% of children actually have OD. The P-value is the chance of observing 7% of children with genetic abnormalities. e) What's your conclusion? A. Reject Ho. There is not sufficient evidence that more than 7% of the nation's children have genetic abnormalities. OB. Reject Ho. There is sufficient evidence that more than 7% of the nation's children have genetic abnormalities. OC. Fail to reject Ho. There is sufficient evidence that more than 7% of the nation's children have genetic abnormalities. D. Fail to reject Ho. There is not sufficient evidence that more than 7% of the nation's children have genetic abnormalities. 1) Do environmental chemicals cause congenital abnormalities? OA. Yes, the conclusion of the hypothesis test shows that environmental chemicals cause genetic abnormalities. B. No, the conclusion of the hypothesis test shows that environmental chemicals do not cause genetic abnormalities. c. It is unknown if environmental chemicals cause genetic abnormalities, because the hypothesis test does not indicate the cause of any changes.
Transcribed Image Text:d) Explain carefully what the P-value means in this context. Choose the correct answer below. OA. The P-value is the actual percentage of children who have genetic abnormalities. OB. The P-value is the chance of observing 30 or more children with genetic abnormalities in a random sample of 394 children. c. The P-value is the chance of observing 30 or more children with genetic abnormalities in a random sample of 394 children if 7% of children actually have OD. The P-value is the chance of observing 7% of children with genetic abnormalities. e) What's your conclusion? A. Reject Ho. There is not sufficient evidence that more than 7% of the nation's children have genetic abnormalities. OB. Reject Ho. There is sufficient evidence that more than 7% of the nation's children have genetic abnormalities. OC. Fail to reject Ho. There is sufficient evidence that more than 7% of the nation's children have genetic abnormalities. D. Fail to reject Ho. There is not sufficient evidence that more than 7% of the nation's children have genetic abnormalities. 1) Do environmental chemicals cause congenital abnormalities? OA. Yes, the conclusion of the hypothesis test shows that environmental chemicals cause genetic abnormalities. B. No, the conclusion of the hypothesis test shows that environmental chemicals do not cause genetic abnormalities. c. It is unknown if environmental chemicals cause genetic abnormalities, because the hypothesis test does not indicate the cause of any changes.
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