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A researcher believes that a greater proportion of construction companies in the northeast are using certified lumber in home construction projects compared to companies in the southeast.She collected a random sample of 175 companies in the southeast and found that 76 used at least 30% certified lumber. She collected another random sample of 116 companies from the northeast and found that 67 used at least 30% certified lumber. Test the researcher’s claim that a greater proportion of companies in the northeast use at least 30% certified lumber compared to the southeast using α = 0.05. Round to three decimal places.
Let z0.05 = 1.645, z0.1 = 1.28, z0.025 = 1.96.