chapter 5 assignment B

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Troy University, Troy *

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Statistics

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Feb 20, 2024

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Abigail Cates To complete the following exercises, you need to open the ADVENTURES.SAV file. The questions are ten points each, and I do give partial credit. Produce and analyze frequency distributions and appropriate measures of central tendency for the variables RACE, HEALTH, and TEENSEX. Cut and paste all three frequency distributions here:
Then, use your output to answer Questions 1 through 6. 1. (RACE) The largest racial grouping of respondents to the 2018 GSS was __White_______________, with _____72.1____________%. The second-largest grouping was _____Black____________, with ____16.4_____________%. 2. Which measure of central tendency (mean, median, or mode) is most appropriate to summarize the distribution of RACE, and why? ___ Mode provides the best summary of the set, because white is the most frequent race in the data set._______ The value of that measure is ______1___________. 3. (HEALTH) ____49.1_____________% of respondents to the 2018 GSS reported that they are in good health. This was followed by _____22.9____________% of respondents who reported being in excellent health, whereas about _______28__________% of respondents reported being in either fair or poor health. 4. Which measure of central tendency (mean, median, or mode) is most appropriate to summarize the distribution of HEALTH, and why?__The median provides the best summary because using the median eliminates non-symmetric distributions, and the value is Good Health._________ The value of that measure is _____2____________. 5. (TEENSEX) Nearly _____75.2____________% of respondents to the 2018 GSS believe that sex before marriage, particularly for teens 14 to 16 years of age, is either always wrong or almost always wrong. Only _____8.6____________% think it is not wrong at all, whereas ____16.2_____________% think it is sometimes wrong. 6. Which measure of central tendency (mean, median, or mode) is most appropriate to summarize the distribution of TEENSEX, and why? __ The most appropriate
measurement is the median. Large values have an impact on the median value, which has the highest percentage of responses._____ The value of that measure is ______1___________. Now examine the descriptive statistics for variables EDUC and TVHOURS. You need to find the mean and standard deviations for both. Then, use your output to answer Questions 7 and 8. Remember, by definition, 2/3 of respondents fall between plus and minus one standard deviation of the mean. 7. (EDUC) The mean number of years of education of respondents to the 2018 GSS is ___13.73______________, and two thirds of respondents report having between ___ 10.756_________ and ______16.704___________ years of education. 8. (TVHOURS) Respondents to the 2018 GSS report watching an “average” of ___2.94______________ hours of television a day, with two thirds of them watching between _____0.103____________ and ____5.777_____________ hours of television per day. For number 9, think about what you have just been learning. How can you go about answering this question? 9. Are respondents to the 2018 GSS generally satisfied that the government is doing enough to halt the rising crime rate (NATCRIME) and deal with drug addiction (NATDRUG)? How do you know? No, according to 68% of respondents, the government is doing Too Little to stop the rise in crime rates. Furthermore, 70.3% of respondents said that Too Little is being done by the government to prevent drug addiction. With means of 1.39 and 1.38 for NATCRIME and NATDRUG, respectively, these data support the conclusion that far too little is being done to address these problems. Using the dataset that you made for the Chapter 4 homework, pick one of the variables and either run a frequency table or descriptive statistics (depending on which is appropriate for the variable you chose). Copy and paste the frequency distribution or descriptive statistics output. Then, describe your findings in the space provided. Review Writing box 5.1 on page 62 for help on the written analysis portion. 10. Abbreviated variable name: ____Military___________________________________ What is the question that this variable name represents? Respondents military status
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Copy and paste your output here: Written analysis: More than half the respondents (60%) stated that they had never served in the military. Whereas 16% of respondents are currently serving in the military and 8% are veterans. Five-point bonus: Do descriptive statistics for PAEDUC and compare them to EDUC. Which of the two has the greater amount of dispersion (the responses are more spread out around the mean)? How do you know? PAEDUC has a greater amount of dispersion because it has a standard deviation of 4.148 compared to EDUC that has a standard deviation of 2.974.