SOCY201-HW2-F09

SOCY201-HW2-F09 - SOCY201—Introductory Statistics for...

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Unformatted text preview: SOCY201—Introductory Statistics for Sociology, Fall 2009 Homework 2 (**Please answer legibly on a separate sheet**) ***Due Wednesday, September 30th*** Use SDA and the General Social Survey (GSS) or the information given to answer the following questions: 1. The numbers in the following table represent the mean reported sexual frequency for people who are currently married and people who have never been married 1989 to 2008. gss year for this responden t 1989 1990 1991 1993 1994 1996 1998 2000 2002 2004 2006 2008 marital status married never married 73 77 74 72 71 77 69 73 74 65 64 66 58 59 62 63 59 64 60 64 65 65 57 65 a. Create a line plot for married and unmarried people where year is on the X-axis and the means are on the Y-axis. b. Compare and contrast the trends (how average sexual frequency changes over time). What do you notice about the trend between 2000 and 2008? c. A friend comments that they are interested in the overall mean sexual frequency for these people— the mean across all the years—and decides to average the means in the table. What statistical advice should you give your friend? 2. The following table is the frequency distribution of the unemployment rate in 2005 (rounded to the one’s place). Use this information to calculate the 1st and 10th deciles and the median (p10, p90, and p50). Unemp Freq. Percent Cum. 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 21 14 293 703 814 623 305 189 81 58 21 14 12 1 2 2 1 0.45 9.35 22.44 25.98 19.89 9.74 6.03 2.59 1.85 0.67 0.45 0.38 0.03 0.06 0.06 0.03 0.45 9.80 32.24 58.22 78.10 87.84 93.87 96.46 98.31 98.98 99.43 99.81 99.84 99.90 99.97 100.00 Total 3,133 100.00 3. The following grouped frequency table shows the number of burglaries per 100,000 people reported to the police. This table is based on counties in the United States. A number like 932 means there were 932 recorded burglaries per 100,000 residents. Estimate the average burglary rate per 100,000 in 2004: RECODE of burg Freq. Percent Cum. 0 - 499 500 - 999 1000-1499 1500-1999 2000-2499 2500-2999 1,480 1,106 303 59 8 1 50.05 37.40 10.25 2.00 0.27 0.03 50.05 87.45 97.70 99.70 99.97 100.00 Total 2,957 100.00 4. Three confidence sub-scales were created that measure American confidence in their government, spiritual/educational, and medical institutions, and the military industrial complex. The following frequency table presents this information for respondents in 2004: Confidence Subscales Government Spiritual/Education/ Military-Industrial Medical 0 73 14 12 1 100 61 51 2 147 152 104 3 243 249 217 4 160 185 256 5 59 137 134 6 63 54 73 845 852 847 n a. Calculate and interpret the diversity index for the spiritual/educational/medical subscale. b. Calculate and interpret the index of qualitative variation for the government and military-industrial complex subscales. 5. The following data shows the number of people, by race, living in four Maryland counties. Anne Arundel 411,278 White 75,009 Black 1,633 Am. Indian & Alaskan Native 14,380 Asian 446 Hawaiian/Pacific Islander Howard 190,108 43,344 681 29,503 136 Montgomery Prince George’s 630,103 234,784 151,991 559,050 3,114 3,206 122,007 33,021 633 774 Calculate and interpret the index of qualitative variation for these counties. 6. The exam scores for two sections of introductory sociology are listed below. Compute the standard deviation for each section. Section #1: 42, 45, 56, 56, 60, 62, 67, 68, 70, 71. Section #2: 57, 57, 57, 70, 75, 77, 79, 83, 83, 92. 7. Suppose that there were two groups of people that discussed controversial political issues. Each person rated how liberal or conservative that consider themselves to be using the following scale: extremely liberal, liberal, slightly liberal, moderate, slightly conservative, conservative, and extremely conservative. The scale was scored 1 through 7, liberal to conservative. The mean for Group A was found to be 4 with a standard deviation of 0.02. The mean of Group B was also 4, but the standard deviation was 3.5. Which group would have the more lively discussion and why? 8. The following histogram and statistics describe the American confidence in institutions in 2008: Confidence in American Institutions Scale: 2008 15 Percent 10 5 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Source: General Social Survey, 2008 a. Interpret the mode, median, and mean for this distribution. What do these statistics tell you about the distribution of American confidence in institutions? b. Interpret the following measures of dispersion: range, interquartile range, and the standard deviation. What do these statistics tell you about the variation in the distribution of confidence? c. Use these statistics and the histogram to write a short description of this variable. 9. Which region of the country has the most racial diversity? a. Use the data in the following table to compare the distribution of the index of qualitative variation for people in the Northeast, Midwest, South and West regions in 2005 by creating four box plots, one for each region: Northeast Midwest South West Low Outlier 0.02 0.00 0.00 0.00 Low Q1 Median Q3 High 0.02 0.00 0.00 0.00 0.05 0.03 0.10 0.05 0.10 0.05 0.29 0.10 0.21 0.11 0.52 0.21 0.46 0.25 0.82 0.44 b. Describe and compare the distributions. In other words, interpret the plots. Nota bene: For more help on box plots go to www.corda.com/docsource/doc7/Manuals/graph_ref/box_plot_graphs.htm High Outlier 0.74 0.66 0.82 0.86 ...
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This note was uploaded on 10/20/2009 for the course SOCY 201 taught by Professor Staff during the Spring '08 term at Maryland.

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