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Part -Calculate by Hand Show work to get full credit 1. A survey was done in community in which residents were asked if they felt that family planning counseling was needed in the community. The tabulation in the accompanying table gives the opinions and the number of children of the respondents. Determine whether there is difference in mean number of children of respondents. Make sure you follow all the steps noted above. a. State the null and alternative hypotheses (2 pts). b. Construct and ANOVA table (10 pts) c. Determine whether your results are significant indicate how you know (2 pts) d. Do post hoc analysis (using Tukey's HSD), if necessary (10 pts) e. State your conclusions in one or two sentences. (2 pts) Table Number of children among respondents, by perceived need for family planning counseling in the community Great Need Some Need No Need 10 17 1 5 10 3 7 9 4 3 3 Number of 2 9 15 children 1 8 10 3 11 9 10 1 10 9 2 9 8 x 17 77 102 196 (grand total) 1.7 7.7 10.2 6.53 (grand mean) 2. Recent studies have investigated the relationship between gender and career advancement. The following data represent random sample of mathematicians classified by gender and academic rank. Using the following data, test for a relationship between gender and academic rank. a. State the null and alternative hypotheses (2 pts). b. Calculate the test statistic and determine the critical value (10 pts) c. Determine whether your results are significant indicate how you know (2 pts) d. State your conclusions in one or two sentences. (2 pts) Academic Rank Assistant Associate Full Total Instructor Professor Professor Professor Female 12 15 18 52 Male 21 25 30 22 98 Total 33 40 48 29 150 3. The following table presents data on 100 pregnant women and their smoking status before and after pregnancy. Determine whether there isa relationship between pregnancy and smoking status. (Hint: Are the samples independent?) a. State the null and alternative hypotheses (2 pts). b. Calculate the test statistic and determine the critical value (10 pts) c. Determine whether your results are significant -indicate how you know (2 pts) d. State your conclusions in one or two sentences. (2 pts) Before Pregnancy After Pregnancy Total Smoker Nonsmoker Nonsmoker 55 60 Smoker 20 20 40 Total 25 75 100 4. A public health screening survey provided the following data on the relationship between smoking and lung cancer. Determine the strength of the association between smoking and lung cancer by computing the relative risk of smoker developing cancer. Calculate the 95% confidence interval around the relative risk to determine statistical significance. Is it significant? (15 pts) Smoking Status Lung Cancer Total Present Absent Nonsmoker 1 6700 6701 Smoker 20 3279 3299 Total 21 9979 10000 Part II-Use SPSS 1. Measurements on cumulative radiation dosage were made on workers at an atomic weapons plant over 6-month period. The following table presents data for workers whose dosage was assessed at three different locations. Determine whether there was significant difference in the mean dosage level among the three locations (you will need to enter the data into SPSS, you will have variables in SPSS, one is continuous and one is categorical). a. State the null and alternative hypotheses (2 pts). b. Construct and ANOVA table (10 pts) c. Determine whether your results are significant indicate how you know (2 pts) d. Do post hoc analysis (using Tukey's HSD), if necessary (10 pts) e. State your conclusions in one or two sentences. (2 pts) Table 2. Cumulative radiation dosage by atomic weapons plant Location A Location B Location C 11 29 37 27 41 51 19 19 42 21 39 28 Cumulative 31 24 35 radiation dosage 14 35 48 28 46 75 22 64 49 18 52 61 10 23 52 2. Open the dataset gss.sav. Test the null hypothesis that men and women were equally likely to vote for Perot, Dole, and Clinton (pres96). (Hint, you need to exclude people whose response was "Other." Use Data>Select Cases click on the "If condition is satisfied" button and select pres96 4). a. State the null and alternative hypotheses (2 pts). b. Determine the test statistic and p-value (10 pts) c. Determine whether your results are significant indicate how you know (2 pts) d. State your conclusions in one or two sentences. (2 pts)

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