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Education
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Topic:
THE IMPORTANCE OF RELATIONSHIPS
Essay Instructions:
For this Discussion, you will explore the relationship between these components and understand the trade-off between reducing risk in our confidence of estimates and increasing precision.
To prepare for this Discussion:
Review Chapters 6 and 7 of the Frankfort-Nachmias & Leon-Guerrero text and in Chapter 7, p. 188, consider Hispanic migration and earnings and focus on how different levels of confidence and sample size work together.
Review Magnusson’s web blog found in the Learning Resources to further your visualization and understanding of confidence intervals.
Use the Course Guide and Assignment Help found in this week’s Learning Resources to search for a quantitative article related to confidence intervals.
Using the SPSS software, General Social Survey dataset and choose a quantitative variable that interests you.
Using SPSS:
Take a random sample of 100.
Calculate the 95% confidence interval for the variable.
Calculate a 90% confidence interval.
Take another random sample of 400.
Calculate the 95% confidence interval for the variable.
Calculate a 90% confidence interval.
Post your results, the mean of Age to verify the dataset you used, and an explanation of how different levels of confidence and sample size affect the width of the confidence interval. Next, consider the statement, “Confidence intervals are underutilized” and explain what the implications might be of using or not using confidence intervals. Provide examples based on the results of your data. Also, use your research to support your findings.
Essay Sample Content Preview:
The Importance of Relationships
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The Importance of Relationships
Confidence intervals (CIs) are calculated from sample data and indicate the range in which the real population parameter is expected to reside. Conversely, the confidence level indicates the probability that the interval contains the true parameter (Frankfort-Nachmias & Leon-Guerrero, 2020). In this discussion, the quantitative variable “FAMILY INCOME IN CONSTANT $” was selected from the GSS dataset. Random samples of 100 and 400 cases were taken, and 90% and 95% confidence intervals were computed. See Table below.
Table
Confident Interval Results for 100 and 400 Sample Cases
CONFIDENCE INTERVAL FAMILY INCOME IN CONSTANT $
95% CI
90% CI
Mean
Sample size
Lower Bound
Upper Bound
Width
Lower Bound
Upper Bound
Width
100
38737.16
57689.11
18951.84
40283.65
56142.62
15858.97
48213.14
400
40110.46
48688.75
8578.29
40802.61
47996.60
7193.99
44399.61
Using a 95% confidence interval with a sample size of 100, the estima...
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