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An SRS of 190 flights of a large airline (call this airline 1) showed that 166 were on time. An SRS of 190 flights of another large airline (call this airline 2) showed that 177 were on time. Let p, and p₂ be the proportion of all flights that are on time for these two respective airlines. Is airline 2 more reliable? In other words, does airline 1 have a lower on-time rate compared to airline 2? Carry out an appropriate test using a significance level of 0.01. (a) What are the null and alternative hypotheses? Ho: P 0.0 НА: Р = + 0.0 • Check + (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) (d) Based on the p-value, fail to reject the null hypothesis.

An SRS of 190 flights of a large airline (call this airline 1) showed that 166 were on time. An SRS of 190 flights of another large airline (call this airline 2) showed that 177 were on time. Let p, and p₂ be the proportion of all flights that are on time for these two respective airlines. Is airline 2 more reliable? In other words, does airline 1 have a lower on-time rate compared to airline 2? Carry out an appropriate test using a significance level of 0.01. (a) What are the null and alternative hypotheses? Ho: P 0.0 НА: Р = + 0.0 • Check + (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) (d) Based on the p-value, fail to reject the null hypothesis.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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An SRS of 190 flights of a large airline (call this airline 1) showed that 166 were on time. An SRS of 190 flights of another large airline (call this airline 2) showed that 177 were on time. Let p₁ and p₂ be the proportion of all flights that are on time for these two respective airlines. Is airline 2 more reliable? In other words, does airline 1 have a lower on-time rate compared to airline 2? Carry out an appropriate test using a significance level of 0.01. (a) What are the null and alternative hypotheses? Ho: P 0.0 HA: Р 0.0 + (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) Check (d) Based on the p-value, fail to reject the null hypothesis.
Transcribed Image Text:An SRS of 190 flights of a large airline (call this airline 1) showed that 166 were on time. An SRS of 190 flights of another large airline (call this airline 2) showed that 177 were on time. Let p₁ and p₂ be the proportion of all flights that are on time for these two respective airlines. Is airline 2 more reliable? In other words, does airline 1 have a lower on-time rate compared to airline 2? Carry out an appropriate test using a significance level of 0.01. (a) What are the null and alternative hypotheses? Ho: P 0.0 HA: Р 0.0 + (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) Check (d) Based on the p-value, fail to reject the null hypothesis.
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