Find the z-table here. A. The test statistic is z = –6.56 and the P-value ≈ 0. Since the P-value ≈ 0 < 0.05, there is not sufficient evidence that Alpha Airlines has fewer delayed flights than Beta Airlines. B. The test statistic is z = –6.56 and the P-value ≈ 1. Since the P-value ≈ 1 > 0.05, there is sufficient evidence that Alpha Airlines has fewer delayed flights than Beta Airlines. C. The test statistic is z = –6.56 and the P-value ≈ 0. Since the P-value ≈ 0 < 0.05, there is sufficient

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A consumer advocacy group wanted to study whether different airline carriers differed in terms of their delayed flights. In particular, the researchers were interested in the relationship between p1, the proportion of Alpha Airlines flights that were delayed at least 15 minutes, and p2, the proportion of Beta Airlines flights that were delayed at least 15 minutes. A random sample of 1,000 Alpha flights and a separate random sample of 1,000 Beta flights found that 67 of the Alpha fights and 160 of the Beta flights were delayed at least 15 minutes. The conditions for inference were checked and verified.

Does this set of samples provide strong evidence that Alpha Airlines has a smaller proportion of flights that are delayed at least 15 minutes than Beta Airlines, at the α = 0.05 significance level?

Find the z-table here.

A. The test statistic is = –6.56 and the P-value ≈ 0. Since the P-value ≈ 0 < 0.05, there is not sufficient evidence that Alpha Airlines has fewer delayed flights than Beta Airlines.
B. The test statistic is = –6.56 and the P-value ≈ 1. Since the P-value ≈ 1 > 0.05, there is sufficient evidence that Alpha Airlines has fewer delayed flights than Beta Airlines.
C. The test statistic is = –6.56 and the P-value ≈ 0. Since the P-value ≈ 0 < 0.05, there is sufficient evidence that Alpha Airlines has fewer delayed flights than Beta Airlines.
D. The test statistic is = –6.56 and the P-value ≈ 1. Since the P-value ≈ 1 > 0.05, there is not sufficient evidence that Alpha Airlines has fewer delayed flights than Beta Airlines.
E. The test statistic is = –6.56 and the P-value = 2.87. Since 2.87 > 0.05, there is not sufficient evidence that Alpha Airlines has fewer delayed flights than Beta Airlines.
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