State the null and alternative hypothesis for this test. Ho: ? v H1:? v Determine if this test is left-tailed, right-tailed, or two-tailed. O left-tailed O 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 O The standard normal (z) distribution should be used

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0.01, test the hypothesis that the mean length of stay in a hospital in Australia is more than 3.9
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.
State the null and alternative hypothesis for this test.
Ho:?
H: ? v
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
O 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.
Determine the appropriate conclusion for this hypothesis test.
O The sample data do not provide sufficient evidence to reject the alternative hypothesis that the
average length of stay in a hospital in Australia is greater than 3.9 days and thus we conclude that
the average length of stay in a hospital in Australia is likely greater than 3.9 days.
O The sample data provide sufficient evidence to reject the null hypothesis that the average length of
stay in a hospital in Australia is 3.9 days and thus we conclude that the average length of stay in a
hospital in Australia is likely longer than 3.9 days.
O The sample data do not provide sufficient evidence to reject the null hypothesis that the average
length of stay in a hospital in Australia is 3.9 days and thus we conclude that the average length of
stay in a hospital in Australia is likely 3.9 days.
O The sample data provide sufficient evidence to reject the alternative hypothesis that the average
length of stay in a hospital in Australia is greater than 3.9 days and thus we conclude that the
average length of stay in a hospital in Australia is likely 3.9 days.
Transcribed Image Text:0.01, test the hypothesis that the mean length of stay in a hospital in Australia is more than 3.9 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. State the null and alternative hypothesis for this test. Ho:? H: ? v 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 O 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. Determine the appropriate conclusion for this hypothesis test. O The sample data do not provide sufficient evidence to reject the alternative hypothesis that the average length of stay in a hospital in Australia is greater than 3.9 days and thus we conclude that the average length of stay in a hospital in Australia is likely greater than 3.9 days. O The sample data provide sufficient evidence to reject the null hypothesis that the average length of stay in a hospital in Australia is 3.9 days and thus we conclude that the average length of stay in a hospital in Australia is likely longer than 3.9 days. O The sample data do not provide sufficient evidence to reject the null hypothesis that the average length of stay in a hospital in Australia is 3.9 days and thus we conclude that the average length of stay in a hospital in Australia is likely 3.9 days. O The sample data provide sufficient evidence to reject the alternative hypothesis that the average length of stay in a hospital in Australia is greater than 3.9 days and thus we conclude that the average length of stay in a hospital in Australia is likely 3.9 days.
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.
0.01, test the hypothesis that the mean length of stay in a hospital in Australia is more than 3.9
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.
State the null and alternative hypothesis for this test.
Ho: ?
H1:? v
Determine if this test is left-tailed, right-tailed, or two-tailed.
O left-tailed
Oright-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
O 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.
Determine the appropriate conclusion for this hypothesis test.
O The sample data do not provide sufficient evidence to reject the alternative hypothesis that the
average length of stay in a hospital in Australia is greater than 3.9 days and thus we conclude that
the average length of stay in a hospital in Australia is likely greater than 3.9 days.
Transcribed Image Text: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. 0.01, test the hypothesis that the mean length of stay in a hospital in Australia is more than 3.9 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. State the null and alternative hypothesis for this test. Ho: ? H1:? v Determine if this test is left-tailed, right-tailed, or two-tailed. O left-tailed Oright-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 O 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. Determine the appropriate conclusion for this hypothesis test. O The sample data do not provide sufficient evidence to reject the alternative hypothesis that the average length of stay in a hospital in Australia is greater than 3.9 days and thus we conclude that the average length of stay in a hospital in Australia is likely greater than 3.9 days.
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