The probability that the sample proportion is less than 0.80 is mathematically given as P(z<-0.52)
Generally, the equation for probability is mathematically given as
p=82/100
Therefore
p=0.82
q=1-p
q=1-0.82
q=0.18
[tex]SE=\sqrt{\frac{p(1-p)}{n}}\\\\SE=\sqrt{\frac{0.8(1-0.8)}{100}}\\\\SE=0.03841[/tex]
b)
[tex]P(p < 0.80)=p(\frac{p-0.82}{0.0384} < \frac{0.8-0.82}{0.0384})\\\\P(z < -0.52)[/tex]
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