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
icon
Related questions
Topic Video
Question
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)
More
Click to select your answer(s).
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) More Click to select your answer(s).
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)
More
Click to select your answer(s).
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) More Click to select your answer(s).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman