The article "Bioremediation of Soil Contaminated Crude Oil by Agaricomycetes" (Mohammad-Sichani, Assadi, et al., Journal of Environmental Health and Engineering, 2017, online) describes an experiment to determine the effectiveness of mushroom compost in removing petroleum contaminants from soil. Out of 150 seeds planted in soil containing \(3 \%\) mushroom compost by weight, 74 germinated. Out of 150 seeds planted in soil containing 5\% mushroom compost by weight, 86 germinated. Find a 95\% confidence interval for the difference between the proportions of seeds that germinate.