1. Hypothesis Testing Step 1 The questions below describe tests we might conduct based on the dataset lCUAdmissions, which contains information about a sample of patients admitted to a hospital Intensive Care Unit (ICU). For each of the research questions below, com plete Step 1 of a hypothesis test (i.e. define any relevant parameters in context and state the appropriate null and alternative hypotheses.) Use correct notation. No explanation is necessary and you only have to do Step 1. a. Is the average age of ICU patients at this hospital greater than 50? b. Is there evidence that mean heart rate is higher in male ICU patients than in female ICU patients? C. Is there a difference in the proportion who receive CPR based on whether the patient's race is white or black ? d. Is there a positive linear association between systolic blood pressure and heart rate? 2. Infections in Childbirth The Centers for Disease Control and Prevention (CDC) conducted a randomized trial in South Africa designed to test the effectiveness of an inexpensive wipe to be used during childbirth to prevent infections. Half of the mothers were randomly assigned to have their birth canal wiped with a wipe treated with a drug called chlorohexidine before giving birth and the other half to get wiped with a sterile wipe (a placebo.) The response variable is whether or not the newborns develop an infection. The CDC hopes to find out whether there is evidence that babies delivered by the women getting the treated wipe are less likely to develop an infection. Step 1 of the hypothesis test is given: pw = the proportion of babies whose mothers used a treated wipe and developed an infection p = the proportion of babies whose mothers used a placebo wipe and developed an infection D H02pw=p p Ha: pw p