stats module 6 homework question 17

Question

An SRS of 150 flights of a large airline (call this airline 1) showed that 129 were on time. An SRS of 150 flights of another large airline (call this airline 2) showed that 139 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 0.025.

(a) What are the null and alternative hypotheses?

H₀: pμp1 - p2μ1 - μ2μd <≠>= 0.0 or -0.0667

H_A: pμp1 - p2μ1 - μ2μd =≤≥<≠> 0.0 or -0.0667

(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 reject the null hypothesis.

Answer 1

This is a question similar to the ones in my Pearson MyStatlab statistics questions database. I have solved such questions countless times before.

(a) Null Hypothesis (H0): p1−p2≥0, Alternative Hypothesis (HA): p1−p2<0

(b) Test Statistic z≈−1.50

(c) p-value ≈0.0668

(d) Conclusion: Fail to reject the null hypothesis. There is not enough evidence at the 0.025 significance level to conclude that Airline 1 has a lower on-time rate compared to Airline 2.

I have all workings on paper and I accept any further questions. I am not able to upload the paperwork