# Project #71336 - Confidence Interval Estimates,Hypothesis Testing Procedures

5. A clinical trial is conducted to compare a new pain reliever for arthritis to a placebo. Participants are randomly assigned to receive the new medication or a placebo. The outcome is pain relief within 30 minutes. The data are shown in Table 6–8.

a. Generate a 95% confidence interval for the proportion of patients on the new medication who report pain relief.

b. Generate a 95% confidence interval for the difference in proportions of patients who report pain relief.

 Table 6–8 Data for Practice Problem 5 Pain Relief No Pain Relief New medication            44 76 Placebo                          21 99

1. The data in Table 7–6 were collected in a clinical trial to evaluate a new compound designed to improve wound healing in trauma patients. The new compound was compared against a placebo. After treatment for 5 days with the new compound or placebo, the extent of wound healing was measured. Is there a difference in the extent of wound healing between the treatments? (Hint: Are treatment and the percent wound healing independent?) Run the appropriate test at a 5% level of significance.

 Table7–6 Data for Practice Problems 1 and 2 Percent Wound Healing Treatment 0–25% 26–50% 51–75% 76–100% New compound (n = 125) 15 37 32 41 Placebo (n = 125) 36 45 34 10

3. The data in Table 7–7 were collected in an experiment designed to investigate the impact of different positions of pregnant women on fetal heart rate. Fetal heart rate is measured by ultrasound in beats per minute. The study included 20 pregnant women who were assigned to one position and had the fetal heart rate measured in that position. Each woman was between 28 weeks and 32 weeks gestation. Is there a significant difference in mean fetal heart rates by position? Run the test at a 5% level of significance.

 Table7–7 Data for Practice Problem 3 Back Side Sitting Standing 140 141 144 147 144 143 145 145 146 145 147 148 141 144 148 149 139 136 144 145

4. A clinical trial is conducted to compare a new pain reliever for arthritis to a placebo. Participants are randomly assigned to receive the new medication or a placebo, and the outcome is pain relief within 30 minutes. The data are shown in Table 7–8. Is there a significant difference in the proportions of patients reporting pain relief? Run the test at a 5% level of significance.

 Table7–8 Data for Practice Problem 4 Pain Relief No Pain Relief New medication           44 76 Placebo                         21 99

After completing each problem, provide a brief narrative (150–200 words) of the statistical findings. What is your decision rule for each test? Explain your answers and describe anything else about the data that is unique or noteworthy.

Examples of what may be noted in the descriptive narrative include:

• Sample size issues.
• Relationship between P and F values.
• Probabilities associated with chi-square analysis.
• Degrees of freedom.
• Confidence intervals.
• Validity and reliability issues (if any).
• Measures of central tendency.
• Parametric and non-parametric data assessment.

 Subject Mathematics Due By (Pacific Time) 05/17/2015 06:30 am
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