A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and Full data set boxplot indicate that the data are approximately normally distributed with no outliers: Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.01 level of significance? Carpeted Uncarpeted 9.4 113 10 4 9.4 47 68 123 78 Co 10 4 95 69 16 82 6.1 Click the icon to view the Student t-distribution table What are the null and alternative hypotheses? Ho versus Hy Calculate the test statistic, to to = (Round to two decimal places as needed ) Now find the critical value. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed ) O A. to = O B. ta/2= Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.01 level of significance? O A. No, because the test statistic is in the critical region, O B. Yes, because the test statistic is in the critical region O C. Yes, because the test statistic is not in the critical region O D. No, because the test statistic is not in the critical region. Click to select your answer(s)