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An airline claims that the proportion of no-shows for passengers who booked on its flights is less than 0.06. In a random sample of 380 reservations, 19 were no-shows. A hypothesis test is to be performed to test the airline's claim that the proportion of no-shows on its flights is less than 0.06. Calculate the test statistic associated with this sample. An airline claims that the proportion of no-shows for passengers who booked on its flights is less than 0.06. In a random sample of 380 reservations, 19 were no-shows. A hypothesis test is to be performed to test the airline's claim that the proportion of no-shows on its flights is less than 0.06. Calculate the test statistic associated with this sample.

Respuesta :

mhanifa

Answer:

≈ -0.821

Step-by-step explanation:

Given:

  • n= 380, sample
  • x= 19, no-shows count
  • p = 0.06, proportion of no-shows

Then, the sample proportion is:

  • p' = x/n = 19/ 380 = 0.05

Hypothesis test:

  • H₀: p = 0.06
  • H₁: p< 0.06

Test statistics:

  • z = (p' - p) /[tex]\sqrt{p(1-p)/n}[/tex]
  • z = (0.05 - 0.06)/[tex]\sqrt{006(1-0.06)/380}[/tex] ≈ -0.821

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