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: Not all population proportions are equal. H_a: p₁ = p₂ = p₃

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

H₀: 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.)

State your conclusion.

Reject H₀. We conclude that not all of the population proportions are equal.

Reject H₀. We cannot conclude that not all of the population proportions are equal.

Do not reject H₀. We conclude that not all of the population proportions are equal.

Do not reject H₀. We cannot conclude that not all of the population proportions are equal.

(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 =