SOLUTION: It is known that 17% of people ride public transport without paying for it. We talk to 98 people who have been on public transport in the last month. What is the probability that t

Algebra ->  Probability-and-statistics -> SOLUTION: It is known that 17% of people ride public transport without paying for it. We talk to 98 people who have been on public transport in the last month. What is the probability that t      Log On


   

Question 1176109: It is known that 17% of people ride public transport without paying for it. We talk to 98 people who have been on public transport in the last month. What is the probability that the sample proportion is more than 16%?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Binomial Distribution: p = .17  
Sample: n = 98
 P(x̄ > .16) = 1 - P( x̄ ≤  .16) 
 z = z+=blue+%28x+-+mu%29%2Fsqrt%28blue%28p%281-p%29%2Fn%29%29 = z+=blue+%28.01%29%2Fsqrt%28blue%28.16%28.84%29%2F98%29%29 = .2700
  P(x̄ > .16) = 1 - P( x̄ ≤  .16) = 1 - P(z ≤ .27) = 1-.6064 = .3936  Or 39.36%

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