It the 1980s, it was generally believed that congenital abnormalities affected about 7% of a large...

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It the 1980s, it was generally believed that congenital abnormalities affected about 7% of a large...

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 423 randomly selected children and found that 51 of them showed signs of an abnormality. Is this strong evidence that the risk has increased? (Consider a P-value of around 0.05 to represent reasonable evidence.) Complete parts a through f. a) Write appropriate hypotheses. b) Check the necessary assumptions. c) Perform the mechanics of the test. What is the P-value? d) Explain what the P-value means in this context. e) What's your conclusion? f) Do environmental chemicals cause congenital abnormalities?

math Statistics-And-Probability

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Answer 1

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a) Test hvpothesis Но: р-О07 H: p 0.07 (claim) b) Given sample size n 423, x-51 Sample proportion p c) Test statistic z =-= 5 =0. 1207 n 423 β-p Vp(1-p)/n 0.1207-0.07 0.07(1-0.07)/423 4.09 P-value-P(24.09)-1-P( 4.09) =0.00002 16 d) The chance of observing 51 or more children with genetic abnormalities in a random sample of 423 children of actually 7% of children has genetic abnormalities c) Since p-value is very low, hence reject Ho Yes The environmental chemicals cause congenital abnormalities

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