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zysi [14]
2 years ago
5

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.
Mathematics
1 answer:
Digiron [165]2 years ago
6 0

Answer:

≈ -0.821

Step-by-step explanation:

<u>Given:</u>

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

<u>Then, the sample proportion is:</u>

  • p' = x/n = 19/ 380 = 0.05

<u>Hypothesis test:</u>

  • H₀: p = 0.06
  • H₁: p< 0.06

<u>Test statistics:</u>

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