#7.
"p=\\frac{55}{75}=0.7333."
"95\\%ME=1.96\\sqrt{\\frac{p(1-p)}{n}}=1.96\\sqrt{\\frac{0.733(1-0.733)}{75}}=0.1001."
#8.
"p=\\frac{19}{122}=0.1557."
"95\\%CI=(p-1.96\\sqrt{\\frac{p(1-p)}{n}},\\;0.733+1.96\\sqrt{\\frac{0.733(1-0.733)}{75}})=\\\\\n=(0.1557-1.96\\sqrt{\\frac{0.1557(1-0.1557)}{122}},\\;0.1557+1.96\\sqrt{\\frac{0.1557(1-0.1557)}{122}})=\\\\\n=(0.0914,0.2200)."
#9.
"E=1.96\\sqrt{\\frac{p(1-p)}{n}}."
"n=(\\frac{1.96}{E})^2p(1-p)=(\\frac{1.96}{0.02})^20.07(1-0.07)=626."
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