A hotel chain wants to determine whether there is a difference in the length of stays at two of its different brands of hotels. A simple random sample of 100 stay lengths was taken for each hotel brand. These data are shown below. Assume that the variances are not equal.

A hotel chain wants to determine whether there is a difference in the length of stays at two of its different brands of hotels. A simple random sample of 100 stay lengths was taken for each hotel brand. These data are shown below. Assume that the variances are not equal. a) State the appropriate null and alternative hypotheses. b) Based on these sample data and a 0.10 level of significance, what conclusion should be made about the average length of stay at these two hotel chains? Click the icon for sample data on the length of stays at these hotel chains. a) State the appropriate null and alternative hypotheses. Let u, be the population mean length of stay at hotel brand 1, and let 2 be the population mean length of stay at hotel brand 2. OA. HO: H1 - H20 HA: H1 - H2= 0NOGONNANN-WOO-BOAA 2 2 OWNWOD - W - OWA - ANWONON NO-AWA- WONDOONONA-N Brand 1 Nights Stayed A U N N N O W N W W O N W NT - - -WN NOONOOA - AW- -NAOWNONN ( J - A N - N J NA - NO ANN-- 5 6 WOOO - -O) N NNSO - O - - 7 4 4 A N N A A AW - W - A N - A UN DOO- Brand 2 Nights Stayed ON NUI UI N A NOF N N ODD W WW WW NO NADA ON N NY - O W O NW- OUTb) Calculate the value of the test statistic. The test statistic is]. (Round to two decimal places as needed.) Calculate the p-value. The p-value is (Round to four decimal places as needed.) State the appropriate conclusion for the hypothesis test. O A. Reject Ho. There is sufficient evidence at the a = 0.10 level of significance to conclude that the hotel brands have different average stay lengths. O B. Do not reject Ho. There is not sufficient evidence at the a = 0.10 level of significance to conclude that the hotel brands have different average stay lengths. O C. Do not reject Ho. There is sufficient evidence at the a = 0.10 level of significance to conclude that the hotel brands have different average stay lengths. O D. Reject Ho. There is not sufficient evidence at the a = 0.10 level of significance to conclude that the hotel brands have different average stay lengths