5.(30 points total, 10 points each) Below is a relatively recent article from The Journal of the American Medical Association.

Read the abstract and review the tables below before answering the questions that follow which ask you to use the information in the paper to carry out the steps of various hypothesis tests.

a) (10 points) Perform the appropriate two-sided hypothesis test at the 0.05 significance level to determine whether age was different in the two groups t-Help and usual care?

State the Name of the Test _________________________________

H₀: _______________________________

H₁: _______________________________

Calculate the Test Statistic:

Find the p-value:

What is your conclusion in the context of the study, use a significance level of .05?

b) (10 points) Perform the appropriate hypothesis test at the 0.05 significance level to determine whether the Charlson comorbidity index score differed between the two groups t-Help and usual care?

State the Name of the Test _________________________________

H₀: _______________________________

H₁: _______________________________

Calculate the Test Statistic:

Find the p-value:

What is your conclusion in the context of the study, use a significance level of .05?

a)(10 points) Perform the appropriate hypothesis test at the 0.05 significance level to determine whether the severe delirium differed between the two groups t-Help and usual care?

State the Name of the Test _________________________________

H₀: _______________________________

H₁: _______________________________

Calculate the Test Statistic:

Find the p-value:

What is your conclusion in the context of the study, use a significance level of .05?