You may need to use the appropriate technology to answer this question.Hotel room pricing changes over time, but is there a difference between Europe hotel prices and U.S. hotel prices? The file IntHotels contains changes in the hotel prices for 47 major European cities and 53 major U.S. cities.(a)On the basis of the sample results, can we conclude that the mean change in hotel rates in Europe and the United States are different? Develop appropriate null and alternative hypotheses. (Let ₁ = the population mean change in hotel rates in Europe, and let ₂ = the population mean change in hotel rates in the United States. Enter != for as needed.)H₀:

12=0

H_a:

12!=0

(b)Use = 0.01.Calculate the test statistic. (Use

_{1 2}.

Round your answer to three decimal places.)Calculate the p-value. (Round your answer to four decimal places.)p-value = What is your conclusion?Do not reject H₀. The mean change in hotel rates in Europe and the United States are not different.Do not reject H₀. The mean change in hotel rates in Europe and the United States are different. Reject H₀. The mean change in hotel rates in Europe and the United States are different.Reject H₀. The mean change in hotel rates in Europe and the United States are not different.