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. Using a significance level of 0.10( α = 0.10 ), give the decision for the test and the conclusion in context to answer the specific question posed.

Decision:

Conclusion in Context:

Answer 1

Solution:-

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. Using a significance level of 0.10

Here, p-value < =0.10

Decision:-

We Reject null hypothesis (H​​​​​​0)

Conclusion:-

Reject null hypothesis (H​​​​​​0).There is sufficient evidence to support the claim that more than 5% of children under 18 years of age have asthma?