Question

A medical researcher claims that 5% of children under 18 years of age have asthma. In a random sample of 300 children under 18 years of age, 24 children had asthma. Is this evidence that more than 5% of children under 18 years of age have asthma? The null and alternative Hypotheses for the Test are: HO : p = 0.05 HA : p > 0.05 The P-value for this test is 0.0086. What does the P-value mean in the context of this problem.

a) There is a 5% chance that more than 0.86% of a random sample of 300 children under 18 years of age will have asthma.

b) The true proportion of children under 18 years of age who have asthma is 0.86%.

c) There is a 0.86% chance that more than 5% of children under 18 years of age have asthma.

d) If 5% of children under 18 years of age have asthma, there is a 0.86% chance of us observing a random sample of 300 children under 18 years of age having 24 or more with asthma.

Answer 1