Question: A survey of 900 people in federal prisons in the US showed that 67.3% were functionally illiterate. A survey of 900 people in prisons in Canada showed that 63.6% were functionally illiterate. Does the data indicate that there is a significant difference between the population proportion of US prisoners that are functionally illiterate and the population of Canadian prisoners that are functionally illiterate? Use a 5% level of significance.

H0: \({{p}_{1}}={{p}_{2}}\)

H1: \({{p}_{1}}\ne {{p}_{2}}\)

\(\alpha \) = 0.0 5

Test Statistic 1.6505

P-value: 0.0988

Decision on H0: Fail to reject Ho

Interpretation: We don't have enough evidence to support the claim that there is a significant difference between the population proportion of US prisoners that are functionally illiterate and the population of Canadian prisoners that are functionally illiterate.

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