The average room rate for a hotel in a city in 2016 was $342. Suppose the city's Chamber of Commerce would like to test if this rate has changed recently by randomly sampling 43 room rates. The mean of this sample was found to be $356.83. Assume the population standard deviation is $54. Using a = 0.05, complete parts a through C. a. State the null and alternative hypothesis. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H, . Ho: H H1:4 10 (Type integers or decimals. Do not round. Do not include the $ symbol in your answers.) b. What conclusions can be drawn for this test? Identify the critical value. (Round to two decimal places as needed.) Calculate the appropriate test statistic. zx =(Round to two decimal places as needed.) What is the final conclusion? 19 O A. Do not reject Ho. There is enough evidence to conclude that the average room rate is different from $342. O B. Reject Ho. There is enough evidence to conclude that the average room rate is different from $342. O C. Do not reject Ho. There is not enough evidence to conclude that the average room rate is different from $342. O D. Reject Ho. There is not enough evidence to conclude that the average room rate is different from $342. c. Determine the p-value for this test and interpret its meaning. p-value = (Round to three decimal places as needed.) Interpret the meaning of the p-value. Choose the correct answer below. Time Remaining: 00:56:25 Next