a recent study by a researcher found that 82% of teenagers have used cellphones while driving a vehicle.suppose a random sample

Question

2 years ago

11

of 100 teen drivers is taken.calculate the probability that the sample proportion is less than 0.80

1 answer:

melomori [17] · Answer 1 · 2023-02-09T02:44:23+03:00

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

<h3>What is the probability that the sample proportion is less than 0.80?</h3>

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

$SE=\sqrt{\frac{p(1-p)}{n}}\\\\SE=\sqrt{\frac{0.8(1-0.8)}{100}}\\\\SE=0.03841$

b)

$P(p < 0.80)=p(\frac{p-0.82}{0.0384} < \frac{0.8-0.82}{0.0384})\\\\P(z < -0.52)$