CRIM.5900 Descriptive and Inferential Statistics Exercise 3 – Obtaining Confidence Intervals for Sample Statistics Exercise 3: Obtaining Confidence Intervals for Sample Statistics Assigned: June 5th Due: June 11th (11:59:59pm EST) Value: 7.5% Assignment Instructions In this assignment, you will be utilizing relevant quantities to calculate confidence intervals for sample statistics. As practice for the exam, you will be performing these calculations “by hand,” meaning that you’ll be using a calculator with these relevant quantities, and not utilizing SPSS with example data. For this assignment, you will be using some examples from the General Social Survey, a nationally representative random sample of US adults. For the specific problems you must show your work, like I do in Lecture 4.2. As a general rule, use 2 decimal places for all calculations, unless you encounter a number such as 0.0001. In that case, use as many decimal spaces as it takes to get to a non-zero number. Relevant Equations Confidence Interval for Sample Mean Confidence Interval for Sample Proportion ?? = ?̅± ?? ( ? √? − 1 ) ?? = ?̂± ??√ ?̂(1 − ?̂) ? Where:  ?̅is the sample mean  ?? is the critical value of z  ? is the sample standard deviation  ? is the sample size Where:  ?̂is the sample proportion  ?? is the critical value of z  ? is the sample size Critical Values of Z  95%: 1.96  99%: 2.58 Obtain Confidence Intervals 1. The variable under consideration is years of education. The mean (?̅) is 13.58, the standard deviation (s) is 3.07, and the sample size (N) is 1,821. a. Obtain the 95% confidence interval for the sample mean of 13.58. b. Provide a written interpretation of what the confidence interval tells us. 2. The variable under consideration is number of children. The mean (?̅) is 1.90, the standard deviation (s) is 1.66, and the sample size (N) is 1,821. a. Obtain the 99% confidence interval for the sample mean of 1.90. b. Provide a written interpretation of what the confidence interval tells us. 3. The variable under consideration is the proportion supporting the death penalty. The proportion supporting (?̂) is 0.65 and the sample size (N) is 1,821. a. Obtain the 99% confidence interval for the sample proportion of 0.65. b. Provide a written interpretation of what the confidence interval tells us. CRIM.5900 Descriptive and Inferential Statistics Exercise 3 – Obtaining Confidence Intervals for Sample Statistics General Guidelines  Please consider your submission as a product that you are sending to a client – take some pride in creating a professional appearance for the document.  Times New Roman, Garamond, or Verdana font.  Submit a question on the Week 4 Discussion Board or message me via Mail if you are having any difficulties.

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