CHI SQUARE TESTS

Chi Square Test of Goodness of Fit and Cumulative Knowledge Question Student Name Institution Professor Name Course Date Chi Square Test of Goodness of Fit and Cumulative Knowledge Question .Problem Set 1: Chi Square Test of Goodness of FitResearch Scenario: A social psychologist is curious about people’s judgments concerning the likelihood that prisoners will re-offend given certain information about the prisoners. He provides volunteers with information concerning hypothetical prisoners, then asks if they believe the prisoner is less likely, no more or less likely, or more likely to re-offend. He records these frequencies in the table below.Using this table, enter the data into a new SPSS data file and run a Chi Square Test of Goodness of Fit to test whether the proportions are equal across categories. Remember to weight cases as shown in the presentation. Create a simple bar chart to show the relationship between the variables. Remember to put your initials within any and all variable names. Follow the directions below the table to complete the homework.Problem Set 1: Chi Square Test of Goodness of FitResearch Scenario: A social psychologist is curious about people’s judgments concerning the likelihood that prisoners will re-offend given certain information about the prisoners. He provides volunteers with information concerning hypothetical prisoners, then asks if they believe the prisoner is less likely, no more or less likely, or more likely to re-offend. He records these frequencies in the table below.Using this table, enter the data into a new SPSS data file and run a Chi Square Test of Goodness of Fit to test whether the proportions are equal across categories. Remember to weight cases as shown in the presentation. Create a simple bar chart to show the relationship between the variables. Remember to put your initials within any and all variable names. Follow the directions below the table to complete the homework. Less likely to re-offend 17 No more or less likely to re-offend 6 More likely to re-offend 12 1 Paste SPSS output. (10 pts) TJP_ people’s judgments * TJP_frequencies Crosstabulation Count TJP_frequencies Total 6 12 17 TJP_ people’s judgments Less likely to re-offend 0 0 17 17 No more or less likely to re-offend 6 0 0 6 More likely to re-offend 0 12 0 12 Total 6 12 17 35 Chi-Square Tests Value df Asymp. Sig. (2-sided) Pearson Chi-Square 70.000a 4 0.000000000 Likelihood Ratio 71.406 4 0.000000000 N of Valid Cases 35 a. 6 cells (66.7%) have expected count less than 5. The minimum expected count is 1.03. 2 Write an APA-style Results section based on your analysis. Include your bar chart as an APA-style Figure as demonstrated in the APA writing presentation. (Results = 12 pts; Figure = 8 pts) Results Whether the Proportions are Equal Across Categories The above Chi-square Tests table shows that Pearson Chi-square value, X2 = 70.000, and the p-value is less than 0.001 (p<0.001), depicting that the test is significant at the 5% level. The results suggest a significant relationship between people’s judgments concerning the likelihood that prisoners will re-offend and their frequencies. Therefore, the proportions are equal across categories. Decision about the Null Hypothesis The hypotheses for the above Chi-square Tests of Goodness of Fit analysis are as follows. H0: There is no relationship between people’s judgments concerning the likelihood that prisoners will re-offend and their frequencies. H1: There is a relationship between people’s judgments concerning the likelihood that prisoners will re-offend and their frequencies. Problem Set 2: Chi Square Test of Goodness of FitResearch Scenario: A political psychologist is studying public opinion in the United States regarding the possibility of term limits for US Senators and Representatives. He surveys 120 adults and asks them to choose one of three options: support term limits, do not support term limits, or not sure. He records the frequencies of answers in the table below. (Data are based on actual results of bipartisan US polls from various sources.)Using this table, enter the data into a new SPSS data file and run a Chi Square Test of Goodness of Fit to test whether the proportions are equal across categories. Remember to weight cases as shown in the presentation. Create a simple bar chart to show the relationship between the v...