Question

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.

Answer 1

≈ -0.821

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) /
  `√(p(1-p)/n)`

• z = (0.05 - 0.06)/
  `√(006(1-0.06)/380)` ≈ -0.821