According to a study conducted three years ago by the Organisation for Economic Cooperation and Development (OECD), the average length of stay in a hospital was 3.9 days in Australia. A researcher in Australia suspects that the average length of stay in a hospital has actually increased in Australia since the study was released by the OECD three years ago. To test her suspicion, the researcher selected a random sample of 149 hospital patients in Australia and calculated the average length of hospital stay. The mean of the sample was found to be 4.1 days. Using a = days. Assume that the standard deviation of the lengths of all hospital stays in Australia is known to be 0.71 days. Use the p-value method. 0.01, test the hypothesis that the mean length of stay in a hospital in Australia is more than 3.9 State the null and alternative hypothesis for this test. Ho: u= 3.9 H1:u> v 3.9 Determine if this test is left-tailed, right-tailed, or two-tailed. O left-tailed right-tailed O two-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? O The Student's t distribution should be used The standard normal (z) distribution should be used Determine the test statistic for the hypothesis test. Round the solution to two decimal places. Determine the p-value for the hypothesis test. Round the solution to four decimal places.

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