SOLUTION: The 2010 American Census reported that 28.6% of American teens held part time jobs. Let p = .286 represent the proportion of American teens that have jobs. Find, if possible, the p

Question 673803: The 2010 American Census reported that 28.6% of American teens held part time jobs. Let p = .286 represent the proportion of American teens that have jobs. Find, if possible, the probability that a random sample of 30 American teens will have fewer than 20% who have part time jobs.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The 2010 American Census reported that 28.6% of American teens held part time jobs. Let p = .286 represent the proportion of American teens that have jobs. Find, if possible, the probability that a random sample of 30 American teens will have fewer than 20% who have part time jobs.
--------------------------------------------------
z(0.20) = (0.20-0.286)/sqrt[0.286*0.714/30] = -1.0424
---
P(p-hat < 0.20) = P(z < -1.0424) = normalcdf(-100,-1.0424) = 0.1486
========================
Cheers,
Stan H.
========================
RELATED QUESTIONS
According to the last census, 45% of working women held full time jobs in 2010. If a... (answered by ikleyn)

According to the last census, 45% of working women held full-time jobs in 2010. If a... (answered by ewatrrr,ikleyn)

A survey found that 40% of all teens get their spending money from part time jobs. In a... (answered by stanbon)

Can you help me solve this? In a survey of full-time college students, 400 out of 700 (answered by stanbon)

In 1965, 42.4% of American adults described themselves as regular cigarette smokers. By (answered by josmiceli)

The U.S. Census Bureau conducts a census of the U.S. population every ten years. The 2010 (answered by Glaviolette)

A study of 400 randomly selected American Airlines flights showed that 344 arrived on... (answered by cornball3440)

A pollster reports that 58% of American favor a law that is pending in Congress. The... (answered by CPhill)

Americans receive an average of 22 Christmas cards each year. Suppose the number of... (answered by nijneweed)