The sample data below represent the number of late and on time flights for three airlines. Flight Late 1 Airline 2 3 81 93 98 On Time 219 207 302 (a) Formulate the hypotheses for a test that will determine if the population proportion of late flights is the same for all three airlines. O Ho: Not all population proportions are equal. Ha: P₁ = P₂ = P3 O Ho: P₁ = P₂ =P3 H: Not all population proportions are equal. a

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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The sample data below represent the number of late and on time flights for three airlines.
Flight
Late
1
Airline
2
3
81 93 98
On Time 219 207 302
(a) Formulate the hypotheses for a test that will determine if the population proportion of late flights is the same for all three
airlines.
P₂
P3
O Ho: Not all population proportions are equal.
Ha: P₁ = P₂ = P3
Ho: P₁ = P₂ = P3
H: Not all population proportions are equal.
O Ho: All population proportions are not equal.
Ha: P₁ = P₂ = P3
O Ho: P₁ = P₂ = P3
H: All population proportions are not 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 =
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State your conclusion.
Reject H. We cannot conclude that not all of the population proportions are equal.
O Do not reject Ho. We conclude that not all of the population proportions are equal.
O Reject H. We conclude that not all of the population proportions are equal.
Do not reject Ho. We cannot conclude that not all of the population proportions are equal.
(c) Compute the sample proportion of late flights for each airline.
What is the overall proportion of late flights for the three airlines?
p=
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Transcribed Image Text:The sample data below represent the number of late and on time flights for three airlines. Flight Late 1 Airline 2 3 81 93 98 On Time 219 207 302 (a) Formulate the hypotheses for a test that will determine if the population proportion of late flights is the same for all three airlines. P₂ P3 O Ho: Not all population proportions are equal. Ha: P₁ = P₂ = P3 Ho: P₁ = P₂ = P3 H: Not all population proportions are equal. O Ho: All population proportions are not equal. Ha: P₁ = P₂ = P3 O Ho: P₁ = P₂ = P3 H: All population proportions are not 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 = Need Help? Read It State your conclusion. Reject H. We cannot conclude that not all of the population proportions are equal. O Do not reject Ho. We conclude that not all of the population proportions are equal. O Reject H. We conclude that not all of the population proportions are equal. Do not reject Ho. We cannot conclude that not all of the population proportions are equal. (c) Compute the sample proportion of late flights for each airline. What is the overall proportion of late flights for the three airlines? p= Watch It
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