Mathematics and statisticInstructions: Use SPSS to generate tables and charts to help you answer questions through univariate and bivariate descriptive summaries using variables from the GSSX.sav file (the General Social Survey).You will submit your answers, including relevant tables and charts in this Word document. You must copy and paste only the tables and charts that you will interpret.Part A. Variable InformationBefore proceeding, identify the following information.Label Variable Name Attribute Values Missing data Attribute values Level of Measurement(nominal, ordinal, interval or ratio)OWNGUNCHILDSCONFIDENCERACECAPPUNPart B. Bivariate Inferential statistics -ANOVAAll tables or charts must be properly titled and numbered, and you must reference the specific table or chart in your descriptive statements. If you will not reference the table or chart/graph, then you do not include it. You will be using some of the variables from the following list to complete this assignment.1. I would like to know some information comparing those who own guns, do not own guns, and those who refused to answer questions about their gun ownership. How do these three groups compare on the mean number of children that they have?a. What two variables are you using for this analysis?b. What type of inferential hypothesis test this?c. What is the Null?d. What is the alternate Hypothesis (two tailed)?e. Address the assumptions first by directly answering these questions.i. Is this a random sample?ii. How many means are comparing?iii. Normality:1. Is the interval or ratio variable in this analysis normally distributed? How do you know this (include the table and interpret the relevant statistics.)2. Does this type of hypothesis test require a Levene?s test of equality of variances?f. Create a boxplot, include it here and write a statement about what you see.g. Create an error bar chart, in clued it here and write a statement about what you see.h. Run the hypothesis test. Include all relevant tables.i. Describe the differences in the center and spread of the number of children by each gun group. (Talk about the means and dispersion.)ii. Are you able to assume equal variances? How do you know?iii. Given your answer to the previous question, which means test are you using (Brown-Forsyth & Welch or F)?iv. Given the results of the mean?s test, can you infer from the sample that the mean differences between groups described in question f.i. above are true in the population (can you make inferences? Or Are you able to reject the null hypothesis of the means?)? Cite the statistics to help answer your question.v. Given the results of your means test, con you proceed to interpret post-hoc results?vi. Regardless of whether or not you can use the post-hoc results, which post hoc test would you have to use (LSD or Games-Howell) and why?vii. If your post-hoc results are significant, please interpret the specific group differences. If none of the post-hoc results are significant, tell me so and how you know this.2. I would like to know some information comparing racial groups on their confidence in American social institutions. How do racial groups differ on their confidence scores?a. What two variables are you using for this analysis?b. What type of inferential hypothesis test this?c. What is the Null?d. What is the alternate Hypothesis (two tailed)?e. Address the assumptions first by directly answering these questions.i. Is this a random sample?ii. How many means are comparing?iii. Normality:1. Is the interval or ratio variable in this analysis normally distributed? How do you know this (include the table and interpret the relevant statistics.)2. Does this type of hypothesis test require a Levene?s test of equality of variances?f. Create a boxplot, include it here and write a statement about what you see.g. Create an error bar chart, in clued it here and write a statement about what you see.h. Run the analysis. Include all relevant tables.i. Describe the differences in the center and spread of the number of children by each gun group. (Talk about the means and dispersion.)ii. Are you able to assume equal variances? How do you know?iii. Given your answer to the previous question, which means test are you using (Brown-Forsyth & Welch or F)?iv. Given the results of the mean?s test, can you infer from the sample that the mean differences between groups described in question f.i. above are true in the population (can you make inferences? Or Are you able to reject the null hypothesis of the means?)? Cite the statistics to help answer your question.v. Given the results of your means test, con you proceed to interpret post-hoc results?vi. Regardless of whether or not you can use the post-hoc results, which post hoc test would you have to use (LSD or Games-Howell) and why?vii. If your post-hoc results are significant, please interpret the specific group differences. If none of the post-hoc results are significant, tell me so and how you know this.Part C. Bivariate Inferential statistics ?Chi-Square3. I would like to know some information comparing racial groups on their gun ownership. How do racial groups differ?a. What two variables are you using for this analysis?b. What type of inferential hypothesis test this?c. What is the Null?d. What is the alternate Hypothesis (two tailed)?e. Address the assumptions first by directly answering these questions.i. Is this a random sample?ii. Address the assumptions first by directly answering these questions.1. Are the expected count rules met? (does the model fit)?2. Are the expected counts close to or far a port from the observed counts? What does this tell you about the likelihood of rejecting the null?3. Does this type of test require a Levene?s test of equality of variances?f. Run the analysis. Include all relevant tables.i. Describe the difference between racial groups in their gun ownership responses (use percents) by describing what stands out as notably different.ii. Can you infer from the sample that gun ownership is dependent on race (or Are you able to reject the null hypothesis?)? Cite the statistics to help answer your question.4. I would like to know some information comparing racial groups on their attitudes about the death penalty. How do racial groups differ?a. What two variables are you using for this analysis?b. What type of inferential hypothesis test this?c. What is the Null?d. What is the alternate Hypothesis (two tailed)?e. Address the assumptions first by directly answering these questions.i. Is this a random sample?ii. Address the assumptions first by directly answering these questions.1. Are the expected count rules met? (does the model fit)?2. Are the expected counts close to or far a port from the observed counts? What does this tell you about the likelihood of rejecting the null?3. Does this type of test require a Levene?s test of equality of variances?f. Run the analysis. Include all relevant tables.i. Describe the difference between racial groups in their attitudes about the death penalty (use percents) by describing what stands out as notably different.ii. Can you infer from the sample that attitudes about capital punishemnt is dependent on race (or Are you able to reject the null hypothesis?)? Cite the statistics to help answer your question.!

# Mathematics and statistic

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