Math Solutions

Solution: According to an article in News Daily (http://www.newsdaily.com/stories/n22504510-news-airlines-delays/), more than a quarter of U.S. Airlines

Question: According to an article in News Daily (http://www.newsdaily.com/stories/n22504510-news-airlines-delays/), more than a quarter of U.S. Airlines flights were delayed in 2007. A flight departure is considered late if it departs 15 minutes or more beyond its scheduled departure time.

In a random sample of 500 Southwest Airlines flights departing Phoenix Sky Harbor Airport in January 2008, 141 departed 15 minutes or more later than scheduled. At the .05 level of significance, is there evidence that that the proportion of delayed Southwest Airlines departures from Phoenix in January 2008 is greater than 25%?

Complete the following:
  1. State H 0 .
\[p\le 0.25\]
2. State H 1 . \[p>0.25\]
3. State the value of α. 0.05
4. State the value of the test statistic. Z = 1.6525
5. State the p-value. p = 0.0492
6. State the decision in terms of H 0 and why. Since the p-value p = 0.0492 is less than the significance level alpha = 0.05, we reject the null hypothesis
7. State the decision in terms of the problem. The sample data provide enough evidence to support the claim that the proportion of delayed Southwest Airlines departures from Phoenix in January 2008 is greater than 25%

b. Explain the meaning of the p-value in this problem.

Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document


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