Analyzing Confidence Intervals in Sociological Data

Analyzing Confidence Intervals in Sociological Data

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Analyzing Confidence Intervals in Sociological Data

SOC 2020: Homework Assignment #4

Confidence Intervals

Dr. Maria Paino

Reminder, the two main formulas for SE:

SE for proportions

SE for means

1. A random sample of 429 college students was interviewed about a number of matters. For each of the below, write a sentence summarizing the results (i.e “I am 95% confident that….”)
2. They reported that they had spent an average of $378.23 on textbooks during the previous semester. If the sample standard deviation for these data is $15.78, construct an estimate of the population mean at the 95% confidence level.
3. They also reported that they had visited the health clinic an average of 1.5 times a semester. If the sample standard deviation is 0.3, construct an estimate of the population mean at the 95% confidence level.
4. On average, the sample had missed 2.8 days of classes per semester because of illness. If the sample standard deviation is 1.0, construct an estimate of the population mean at the 95% confidence level.
5. On average, the sample had missed 3.5 days of classes per semester for reasons other than illness. If the sample standard deviation is 1.5, construct an estimate of the population mean at the 95% confidence level.
6. A random sample of 500 residents of New York City shows that exactly 50 of the respondents had been victims of violent crime over the past year. Estimate the proportion of victims for the population as a whole (the confidence interval) using a 90% confidence level. Write a sentence summarizing the results (i.e “I am 95% confident that….”)

(HINT: Calculate the sample proportion. Remember that proportions are equal to frequency divided by N.)

3. A random sample of 324 residents of a community revealed that 30% were very satisfied with the quality of the education system. At the 99% level, what is your estimate of the proportion of ALL residents who are satisfied with the quality of the education system? Write a sentence summarizing the results (i.e “I am 95% confident that….”)

RUBRIC
Excellent Quality 95-100%	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.
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.
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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