"Quiz\\ 3\\\\\nCI=\\hat {p} \\plusmn z_{\\alpha\/2} \\sqrt {\\frac{ \\hat{p}(1-\\hat{p})}{n}}\\\\\nz_{\\alpha\/2} =1.96\\\\\nCI=0.72 \\plusmn 1.96 \\sqrt {\\frac{ 0.72(0.28)}{100}}\\\\\nCI=0.72 \\plusmn 0.088\\\\\nCI: [0.632,0.808]\\\\\nQuiz\\ 4\\\\\na)\\ SE=\\frac{s}{\\sqrt{n}}=\\frac{40000}{\\sqrt{200}}=2828.427\\\\\nb)\\ CI=\\bar {x} \\plusmn {z_{\\alpha\/2}} \\frac {s}{\\sqrt{n}}\\\\\nz_{\\alpha\/2} =1.96\\\\\nCI=28000 \\plusmn {1.96} \\frac {40000}{\\sqrt{200}}\\\\\nCI=28000 \\plusmn 5543.717\\\\\nCI: [22456.283, 33543.717]\\\\"
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