You may need to use the appropriate technology to answer this question.The sample data below represent the number of late and on time flights for three airlines. AirlineFlight123Late152732On Time285273368(a)Formulate the hypotheses for a test that will determine if the population proportion of late flights is the same for all three airlines.H0: p1 = p2 = p3Ha: All population proportions are not equal.H0: All population proportions are not equal.Ha: p1 = p2 = p3 H0: Not all population proportions are equal.Ha: p1 = p2 = p3H0: p1 = p2 = p3Ha: Not all population proportions are equal. (b)Conduct the hypothesis test with a 0.05 level of significance. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.)p-value = c) Compute the sample proportion of late flights for each airline.p1=p2=p3 = What is the overall proportion of late flights for the three airlines?p=

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The sample data below represent the number of late and on time flights for three airlines.

	Airline
Flight	1	2	3
Late	15	27	32
On Time	285	273	368

(a)

Formulate the hypotheses for a test that will determine if the population proportion of late flights is the same for all three airlines.

H₀: p₁ = p₂ = p₃
H_a: All population proportions are not equal.H₀: All population proportions are not equal.
H_a: p₁ = p₂ = p₃ H₀: Not all population proportions are equal.
H_a: p₁ = p₂ = p₃H₀: p₁ = p₂ = p₃
H_a: Not all population proportions are equal.

(b)

Conduct the hypothesis test with a 0.05 level of significance.

Find the value of the test statistic. (Round your answer to three decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

c) Compute the sample proportion of late flights for each airline.

p₁=

p₂=

p₃=

What is the overall proportion of late flights for the three airlines?

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