A website developer wanted to compare the mean time needed to access hotel information for two major online travel agencies (A and B). Using a population of adults between the ages of 25-45, the developer randomly assigned 25 adults to access the Web site for agency A to locate hotel information for a major city in Florida. The time required to locate hotel information for agency A had a mean of 2.3 minutes and a standard deviation of 0.9 minutes. The developer then randomly assigned 25 different adults from this population to access the Web site for agency B to locate hotel information for the same city. The time required to locate hotel information for agency B had a mean of 2.1 minutes and a standard deviation of 0.6 minutes. Assuming the conditions for inference are met, which of the following statements about the p- value obtained from the data and the conclusion of the significance test is true?
Note: pick only one answer choice.
A) The p-value is less than 0.01, therefore there is a significant difference in mean search times on the two Web sites.
B) The p-value is greater than 0.05 but less than 0.10, therefore there is no evidence of a significant difference in mean search times on the two Web sites.
C) The p-value is greater than 0.01 but less than 0.05, therefore there is a significant difference in mean search times on the two Web sites.
D) The p-value is greater than 0.10, therefore, there is no evidence of a significant difference in mean search times on the two Web sites.