Final answer:
The hypothesis test in the question is designed to determine if there has been a change in the average ticket price for an airline route. The null hypothesis states that there is no change, while the alternative suggests a change. To find the p-value, typical statistical methods involving z-scores or t-distributions would be used.
Step-by-step explanation:
The question involves hypothesis testing to determine whether the average ticket price for an airline on the New York to Hawaii route has changed from the previous year. To test the claim that the average ticket price has not changed, we set up the following null and alternative hypotheses:
- H0: μ = 1570 (The average price has not changed.)
- H1: μ ≠ 1570 (The average price has changed.)
We then calculate the test statistic and the p-value using the sample mean, sample standard deviation, and the sample size. Since the actual p-value calculation involves more complex statistical methods not provided in the question and considering the provided answer options, it seems clear that we are expected to choose from one of them.
The typical approach would involve using z-scores or a t-distribution, depending on the situation, and then finding the p-value based on this statistic.
If the calculated p-value is smaller than the significance level (typically 0.05), we would reject the null hypothesis, suggesting that the average ticket price has changed.