Selected Questions as Indicated on the Questionnaire KBP 1. How old are you? ..................... 2. What is your sex? Male Female 3. What is your current relationship status? Married/ Living with a partner [ ] Partner who stays over night or who you stay overnight with [ ] See occasionally to have sex [ ] Single/ no sex partner at this time [ ] 4. What is your age of first sexual encounter? ....................... 5. Do you actively practice religion? Yes [ ] No [ ] 6. How many partners you had sex with in the last 12 months? ................... 7. How many of these partners did you use condom with in the last 12 months? ................ 8. In the last 4 weeks how often did you use alcohol? Every day [ ] At least once per week [ ] Less often [ ] Never [ ] Note: In the dataset Male = 1 Female = 2 Yes = 1 No = 2 Relationship Status: 1= Married/ Living with a partner 2= Partner who stays overnight or who you stay overnight with 3= See occasionally and have sex 4= single/ no sex partner at this time Alcohol Usage Everyday = 1 At least once a week = 2 less often = 3 Never = 4 Problem Set 3 This worksheet covers material from units 6-7. It contributes 6% to your final grade and is due on Saturday, November 26, 2016 at 11:55 PM EC time/ 10:55 PM JA time. Please show all working and/or explanation. Please submit assignment in the dropbox provided in the learning exchange. No late assignment will be accepted and no assignment will be accepted via email. Question 1 A social worker wishes to investigate, at the 2.5% level of significance, whether a relationship exists between area of residence and income category of workers. The results of a random sample of 206 workers are shown below: Income Category Area of residence Urban Rural A 39 45 B 41 38 C 24 19 Use this information to carry out a Chi-square test of independence. Question 2 A cell phone company wants to determine at the 0.01 level of significance if the use of text messaging is independent of age. The following data has been collected from a random sample of customers. Regular use text messaging Under 21 21-39 40 and over 82 57 6 Use this information to carry out a Chi-square test of independence. Do not regularly use text messaging 38 34 83 Question 3 Most Caribbean countries are dependent on the USA to help stimulate their economy. The table below shows the annual GDP for the USA and a Caribbean country for a tenyear period. Year 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 USA 2.8 3.8 3.4 2.7 1.8 -0.3 -2.8 2.5 1.8 2.8 Caribbean country 3.7 1.3 0.9 2.9 1.4 -0.7 -4.4 -1.5 1.7 -0.5 a. Use a scatterplot to determine if the relationship is linear and whether or not the relationship is positive or negative. b. Calculate the correlation between the US GDP and the GDP of the Caribbean country using Pearson's r. Interpret this result. c. Calculate the coefficient of determination and interpret the results. d. Derive a regression model using the data that can be used to determine the Caribbean country's GDP given the US GDP. Indicate the independent and the dependent variable. Question 4 Researchers interested in determining if there is a relationship between death anxiety and religiosity conducted the following study. Subjects completed a death anxiety scale (high score = high anxiety) and also completed a checklist designed to measure an individual's degree of religiosity (belief in a particular religion, regular attendance at religious services, number of times per week they regularly pray, etc.) (High score = greater religiosity). A data sample is provided below: Death Anxiety 38 42 29 31 28 15 24 11 8 6 14 Religiosity 4 3 11 5 9 6 14 15 19 18 14 a. Calculate the correlation between death anxiety and religiosity using Pearson's r and interpret this result. b. Calculate the coefficient of determination and interpret the results