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a recent study by a researcher found that 82% of teenagers have used cellphones while driving a vehicle.suppose a random sample of 100 teen drivers is taken.calculate the probability that the sample proportion is less than 0.80

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okpalawalter8

The probability that the sample proportion is less than 0.80 is mathematically given as P(z<-0.52)

What is the probability that the sample proportion is less than 0.80?

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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