Assignmnet 2 (2)

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University of Guelph *

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3120

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Statistics

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Feb 20, 2024

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Uploaded by JudgeJellyfishMaster741

Quantitative Methods SOAN*3120, Fall 2023 Homework Assignment #2 1 EXAMINE VARIABLES=alwdvwky /PLOT NONE /STATISTICS DESCRIPTIVES /CINTERVAL 95 /MISSING LISTWISE /NOTOTAL. EXAMINE VARIABLES=alwdvwky /PLOT NONE /STATISTICS DESCRIPTIVES /CINTERVAL 99.9 /MISSING LISTWISE

/NOTOTAL. We determined the optimal population parameter for weekly alcohol consumption at a 95% confidence level using the sample data. Between 3.63 and 4.69 alcoholic beverages were predicted to be drunk on a weekly average. Thus, the average Canadian does not consume less alcohol than the recommended two drinks. As we observed a lower range of 3.27 and an upper bound of 5.05. Testing at a 99.9% confidence level also allowed us to infer that Canadians' alcohol intake was still over the recommended two drinks. 2A. The syntax for the dependent variable perceived life stress.

The syntax for the independent variable household income The syntax for the frequence table FREQUENCIES VARIABLES=Classr lifestressr /STATISTICS=STDDEV /ORDER=ANALYSIS.

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This output shows the recorded variables for incdghh change to classr and another variable which is gen_020 change to lifestressr. This is correct because there is no missing value. 2B) Step 1: make assumptio and meet the requirement - Level of measurement is ordinal - Normal shaped distribution Step 2: state the null hypothesis H0: There is no relationship between the life stress perceived and the income. H1: there is a significant relationship between the recorded variables. Perceived life stress is dependent on income.

Step 3: select the sampling distribution and establish the critical region - Sampling distribution is Chi-square - Its a non parameter so its neither one or two tail test Alpha = 0.05 df= (r–1)(c–1) (3-1) (3-1)= 2x2= 4 df= 4 Z (critical)= 21.936 Step 4: SPSS The Syntax for the bivariate table. CROSSTABS /TABLES=lifestressr BY Classr /FORMAT=AVALUE TABLES /STATISTICS=CHISQ GAMMA D BTAU CTAU /CELLS=COUNT EXPECTED /COUNT ROUND CELL.

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Step 5: T (obtained)= 9.49 Z (critical) = 21.936 The test statistic falls in the critical region, so we reject the null hypothesis of independence. There is a statistically significant weak relationship between income and perceived stress. The higher income the less the stress of the individual. We can see that when we take a look at a bivariate table. The lower class are stressed by 29.6% and the upper class by 24.2%. C) I was able to determine that there is a substantial association between these two variables using bivariate statistics. The gamma, Kendall's tau b, and somers d statistical metrics were the best suitable for this investigation. Using Somers' d, you can see that there is a weak, negative correlation above. The correlation indicates a negative weak link, indicating that your reported life stress decreases as your household income increases. Since I sought to determine the degree

and direction of the link between the two variables, I employed tau b in my investigation. It is widely accepted, using tau b, that this relationship is trending upward from a negative place. Using Somers' d, you can see that there is a weak, negative correlation above. The correlation indicates a negative weak link, indicating that your reported life stress decreases as your household income increases. Since I sought to determine the degree and direction of the link between the two variables, I employed tau b in my investigation. It is widely accepted, using tau b, that this relationship is trending upward from a negative place.