please answer the questions correctly 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 toan 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 riskhas 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 = 0.07B.Ho: p=0.07 vs. HA: p > 0.07O C. Ho: p=0.0798 vs. HA: p>0.0798O E. Ho: p=0.0798 vs. HA: P# 0.0798b) 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.DThere 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<0.07O 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 haveOD. 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.

The given hypothesis is H0:p=0.07 vs HA:p>0.07.

Answered: c) Perform the mechanics of the test.…

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

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 3E