Question

PLEASE HELP FAST IT IS URGENT!!!!An avid traveler is investigating whether travel websites differ in their pricing. She chooses a random sample of 32 hotel rooms from across the state and notes the price of each room from site A and site B. The mean difference (site A – site B) in the prices for the rooms is $5.49 with a standard deviation of $18.65. Assuming the conditions for inference have been met, is there evidence that the prices of hotel rooms from site A and site B are different, on average? Use a significance level of a = 0.05.

A. Because the P-value is less than α, there is evidence that the prices of hotel rooms from site A and site B are different, on average.
B. Because the P-value is greater than α, there is evidence that the prices of hotel rooms from site A and site B are different, on average.
C. Because the P-value is less than α, there is not sufficient evidence that the prices of hotel rooms from site A and site B are different, on average.
D. Because the P-value is greater than α, there is not sufficient evidence that the prices of hotel rooms from site A and site B are different, on average.​

Answer 1

Answer: A

Explanation:

A. Because the P-value is less than α, there is evidence that the prices of hotel rooms from site A and site B are different, on average.

The P-value is the probability of obtaining a sample mean difference as extreme or more extreme than the one obtained in the study, given that the two populations have the same mean. In this case, since the P-value is less than α (0.05), this means that it is unlikely that the two populations have the same mean, and thus there is evidence that the prices of hotel rooms from site A and site B are different, on average.