# The Importance Of Relationships Discussion

The Importance Of Relationships Discussion

As its name implies, confidence intervals provide a range of values, along with a level of confidence, to serve as an estimate of some unknown population value. Since it is rare to have access to the entire population, you must frequently rely on the confidence interval of the sample to make some inference about the population of interest. Before making accurate inferences to the population, we need to fully understand how the three key components of the interval—variability in the data, sample size, and confidence level—impact the width of the interval.

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.The Importance Of Relationships Discussion

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:

1. Take a random sample of 100.
2. Calculate the 95% confidence interval for the variable.
3. Calculate a 90% confidence interval.
4. Take another random sample of 400.
5. Calculate the 95% confidence interval for the variable.
6. Calculate a 90% confidence interval.

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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.The Importance Of Relationships Discussion

Be sure to support your Main Post and Response Post with reference to the week’s Learning Resources and other scholarly evidence in APA Style.

Dr. Bill’s Notes:

6210 Week 4 Discussion How ToComplete The Discussion Requirement

Open the data set in SPSS

Identify an interval-ratio variable from the data set that you will use for this assignment

Select Data from the top menu

Click on Select Cases

Click on Random Sample of Cases

Click on Sample

Click on Exactly

Enter 100 (or 400) cases from the first 1000

Click Continue

Click Okay

Note: your GSS set has now randomly selected 100 (or 400) cases for analysis

Select Analyze from the top menu

Click Compare Means from the dropdown menu

Select One-sample t-test

Drag your interval-ratio variable into the Test Variable(s) box

Enter 0 in the Test Value box

Click Options

Enter 95% in Confidence Interval Percentage (this is the SPSS default value)

Select Exclude Cases Listwise

Click Continue

Your Confidence Interval is in the One-Sample Test output.

Note 1: your sample size, N, may be less than 100. This is because the random sample may include cases that have missing values for your variable. The Importance Of Relationships Discussion

Note 2: repeat this process to select a random sample of 400.

Note 3: change your Confidence Level from .95 to .99 in the One Sample utility.

Note 4: Do not save changes to your GSS Dataset. If you do so your data set will be reduced to 100 or 400 cases.

Note 5: Make sure your variable is interval-ratio (or ‘scale’ in SPSS lingo; check the Measure column in the data set).

Note 6: You should have 4 sets of SPSS Output in your discussion post:

Set 1: N = 100 and CL = .95

Set 2: N= 400 and CL = .99

Set 3: N = 100 and CL = .99

Set 4: N = 400 and CL = .95

Note 7: Discuss the relationship among the Confidence Interval, the Confidence Level and the sample size.

-What happens to the CI when the Confidence Level increases or decreases?

-What happens to the CI when the sample size increases or decreases? The Importance Of Relationships Discussion