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Discussion Assignment for PH661 Biostatistics
1. Assume a researcher wants to see how effective a new diet plan is at lowering BMI in a group of women with identical baseline weights after a year. After one year, assume the group of 45 women follows a normal distribution with a mean BMI (kg/m2) of 29.5 and a standard deviation of 1.6 kg/m2, and the goal BMI is 28.5 kg/m2.
A) Did the women reach their weight-loss goals? Use a 0.05 alpha level.
B) Describe your null and alternative hypotheses, as well as the significance of your pvalue.
2. Assume a researcher is interested in a new treatment strategy for raising CD4 cell count in HIV patients who are immunocompromised. The researcher gathers a group of 48 people with a mean CD4 count of 317 cells/mm3 following treatment and a standard deviation of 24.6 to investigate the new medicine. Examine whether the mean CD4 count has risen over the target of 275 cells/mm3. Make a list of your hypotheses and interpret your pvalue accurately. (Use a 0.01% alpha level.)
3. Assume a researcher is developing a step-by-step smoking cessation program for teenagers aged 16 to 18 who have been smoking for more than a year. The goal of the program is to persuade people to smoke less than one pack of cigarettes (20 cigarettes) each week after one month. Assume that a group of 62 smokers in this age range smokes an average of 11.6 cigarettes per week, with a standard deviation of 2.7, after one month. Is there enough proof that the quit-smoking program is effective? Set up your hypotheses and use the alpha level of 0.05 to interpret your pvalue correctly.
4. Assume a researcher investigated the hypothesis that a novel anti-hypertensive medicine can drop systolic blood pressure in high cholesterol individuals below 135 mm HG, and the null hypothesis was rejected with a 95 percent confidence level. The researcher had a total of 56 people on his SRS. Assume the standard deviation was 19 percent. What is the sensitivity of that significance test targeted at identifying a group with a systolic blood pressure of 110 mm HG?
5. A researcher wants to know how powerful his statistical test is for determining the success rate of boosting forced vital capacity (FVC) in asthmatic children. Assume the researcher used a z test with an SRS of 74 on a population with a mean FVC of 84 percent and a null hypothesis of 76 percent. According to previous studies, the standard deviation was 1.2 percent. What was the test’s power at a 95% confidence level?
6. With a power of 90%, how many people do you need to enroll in a study looking at early onset dementia in a population of middle-aged adults? Calculate the sample size with 95 percent confidence for a population with a standard deviation of 7 years and a detectable difference of interest in age of 6 years.
RUBRIC |
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Excellent Quality 95-100%
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Introduction
45-41 points The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned. |
Literature Support 91-84 points The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned. |
Methodology 58-53 points Content is well-organized with headings for each slide and bulleted lists to group related material as needed. Use of font, color, graphics, effects, etc. to enhance readability and presentation content is excellent. Length requirements of 10 slides/pages or less is met. |
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Average Score 50-85% |
40-38 points More depth/detail for the background and significance is needed, or the research detail is not clear. No search history information is provided. |
83-76 points Review of relevant theoretical literature is evident, but there is little integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are included. Summary of information presented is included. Conclusion may not contain a biblical integration. |
52-49 points Content is somewhat organized, but no structure is apparent. The use of font, color, graphics, effects, etc. is occasionally detracting to the presentation content. Length requirements may not be met. |
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Poor Quality 0-45% |
37-1 points The background and/or significance are missing. No search history information is provided. |
75-1 points Review of relevant theoretical literature is evident, but there is no integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are not included in the summary of information presented. Conclusion does not contain a biblical integration. |
48-1 points There is no clear or logical organizational structure. No logical sequence is apparent. The use of font, color, graphics, effects etc. is often detracting to the presentation content. Length requirements may not be met |
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Discussion Assignment for PH661 Biostatistics