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Although airline schedules and cost are important factors for business travelers

ID: 3359410 • Letter: A

Question

Although airline schedules and cost are important factors for business travelers when choosing an airline carrier, a USA Today survey found that business travelers list an airline’s frequent flier program as the most important factor. From a sample of 1875 business travelers who responded to the survey, 600 listed a frequent flier program as the most important factor. The 95% confidence interval estimate for the population proportion of business travelers who believe a frequent flier program is the most important factor when choosing an airline carrier is {.3, .34}. Does your confidence interval provide evidence that at least one third of business travelers believe a frequent flier program is the most important factor when choosing an airline carrier? a. Yes b. No

Explanation / Answer


interpretations:
1. We are 95% sure that the interval {.3, .34} contains the true population proportion
2. If a large number of samples are collected, and a confidence interval is created
for each sample, 95% of these intervals will contains the true population proportion

one third of business travelers is around 1/ 3 = 0.334 an dthis falls under the proportion limits.

[ANSWER] Yes

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