Question: A survey of 900 people in federal prisons in the US showed that 606 were functionally illiterate. A survey of 900 people in prisons in Canada showed that 569 were functionally illiterate. Does the data indicate that the population proportion of US prisoners that are functionally illiterate is greater than the population of Canadian prisoners that are functionally illiterate? Use a 5% level of significance.

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

H1:

= 0.05

Distribution: z-distribution

Test Statistic z = 1.83

P-value: p = 0.0335

Decision on H0: Reject Ho

Interpretation: We have enough evidence to support the claim that the population proportion of US prisoners that are functionally illiterate is greater than the population of Canadian prisoners that are functionally illiterate.