Question: A study of 780 adults in the US showed that 38 were victims of specific phobias badly enough to prevent functioning normally. A survey of 790 adults in Australia showed that 27 were victims of specific phobias badly enough to prevent functioning normally. Does the data indicate the population proportion of US adults who are victims of specific phobias is greater than the population proportion of Australians who are victims of specific phobias? Use a 5% level of significance.

Ha: \({{p}_{1}}\le {{p}_{2}}\)

H1:

= 0.05

Distribution: z-distribution

Test Statistic z = 1.45

P-value: p = 0.0741

Decision on H0: Fail to Reject Ho

Interpretation: We don't have enough evidence to support the claim that population proportion of US adults who are victims of specific phobias is greater than the population proportion of Australians who are victims of specific phobias.