An airline promotion to business travelers is based on the assumption that no more than two-thirds of business travelers use a laptop computer on overnight business trips.
1. What is the sample proportion from an American Express-sponsored survey that found 365 of 543 business travelers use a laptop computer on overnight business trips (to 2 decimals)?
2. What is the p-value (to 4 decimals)?
1. To find the sample proportion, we need to divide the number of business travelers who use a laptop computer on overnight trips by the total number of business travelers surveyed.
Given that the American Express-sponsored survey found that 365 out of 543 business travelers use a laptop computer on overnight trips, we can calculate the sample proportion as follows:
Sample Proportion = Number of business travelers using a laptop / Total number of business travelers
Sample Proportion = 365 / 543 ≈ 0.673 (rounded to 2 decimals)
Therefore, the sample proportion is approximately 0.67 (to 2 decimals).
2. To find the p-value, we need to perform a hypothesis test using the sample proportion and the assumptions provided in the question. The null hypothesis would be that two-thirds of business travelers use a laptop computer.
The calculation of the p-value depends on the test statistic used and the specific hypothesis test being performed. Without more information about the hypothesis test being conducted, it is not possible to determine the p-value accurately.
However, in most cases, the p-value represents the probability of obtaining a sample proportion as extreme as the one observed (or more extreme) under the assumption of the null hypothesis.
To calculate the p-value, you would typically use statistical software or a statistical test table that corresponds to your specific hypothesis test. By plugging in the observed sample proportion and the assumptions of the null hypothesis, you can obtain the p-value for your analysis.
Since the specific steps for calculating the p-value depend on the context of your hypothesis test, it is recommended that you consult with the statistical software or reference material relevant to your analysis.