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It the 1980s, it was generally believed that congenital abnormalities affected a

ID: 3313975 • Letter: I

Question

It the 1980s, it was generally believed that congenital abnormalities affected about 8% 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 390 randomly selected children and found that 43 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. a) Write appropriate hypotheses. Let p be the proportion of children with genetic abnormalities. Choose the correct answer below. A. Ho: p . 0.1103 vs HA: p#01103 O c. Ho: p = 0.08 vs. HA: p #0.08 O B. OD. F. Ho: p= 0.08 vs. HA, p-o08 Ho:p=0.1103 vs. HA, p>0.1103 Ho: p-0.08 vs. HA: p > 0.08 O E. H,, p-0.1103 vs. HA: p

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.08
HA : p > 0.08

Hypothesis test results:

Hence,

a) Hypotheses: Option F is correct.

b) All the options are correct.

c) z = 2.20

P - value = 0.014

d) Option A is correct.

e) Option A is correct.

f) Option C is correct.

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 43 390 0.11025641 0.013737465 2.202474 0.0138
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