Lab3_Chi-square

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University of Houston *

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Feb 20, 2024

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Lab: Chi-square For this lab use the Asthma Homeless Data file (Asthma_Homeless_Data.sav). Data was collected from 144 students in Houston, on having asthma (or not), being homeless (or not), and current housing situation (housed, homeless w/family, unaccompanied homeless, other). 1) Is being homeless related to having asthma? Conduct a Chi-square Test of independence to determine if a relationship between being homeless and having asthma is supported by the data at α = .05 . a. State the research question: RQ: b. What is X variable and the Y variable and their type? X: Y: Type: Type: c. What are the conditions of the X and Y variables? Conduct a frequency analysis on the X and Y variables. What is the total amount of people in each condition of the X variable and then the Y variable? X Y Condition Total Condition Total d. What is the Alternative and Null Hypothesis for this analysis? Alternative, H 1 : Null, H 0 : e. Why is a Chi-square Test of Independence the appropriate statistic to use in this scenario? Why:

f. Calculate a  2 score using a Test of independence in SPSS.

g. Attach a screenshot of the Crosstabulation below. h. In each combination of the conditions, how many people were observed and how many people were expected? Combination Observed Expected Yes*Not homeless Yes*Homeless No*Not homeless No*Homeless i. What is the Chi-Square (  2 ) score (value next to “Pearson Chi-Square”)? The degrees of freedom (exact number under df for the Pearson Chi-Square) used to find it? The Chi-Square critical score (  2 -crit score; find in the Chi-Square table)? The p -value for this Chi-Square score (number under “Asymp. Sig.” for Pearson Chi-Square)?  2 score: df :  2 -crit score: p -value:

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j. Is the Chi-Square score past or before the Chi-Square critical score? Is the associated p -value less than or greater than the alpha level of .05? Is the Chi-Square statistically significant? Past or Before p -value > or < than .05 Statistically significant k. Do we reject or not reject the null hypothesis? Reject or Not reject: l. State the conclusion of your analysis (which is a restatement of the supported hypothesis). m. State your conclusion more generally (based off the general question). 2) Is there an equal amount of students in each kind of housing situation? Conduct a Chi-square Goodness of fit test to determine if students housing situations are equally distributed is supported by the data at, α = .05 . a. State the Research Question: RQ: b. What is the X variable and its type? X: Type: a. What are the conditions of the X variable? Conduct a frequency analysis on the X variables. What is the total amount of people in each condition of the X variable? X Condition Total b. What is the Alternative and Null Hypothesis for this analysis? Alternative, H 1 :

Null, H 0 : c. Why is a Chi-square Goodness of Fit test the appropriate statistic to use in this scenario? Why: d. Calculate a  2 score using a Goodness of fit test in SPSS.

e. Attach a screenshot of the frequencies table below. f. In each condition, how many people were observed and how many people were expected? Combination Observed Expected Housed Homeless w/Fam Unaccompanied g. What is the Chi-Square (  2 ) score? The degrees of freedom (the exact number shown in the screenshot next to df ) used to find it? The Chi-Square critical score (  2 -crit score; find in the Chi-Square table)? The p -value for this Chi-Square score (the number next to “Asymp. Sig.” in the screenshot?  2 score: df :  2 -crit score: p -value: h. Is the Chi-Square score fall past or before the Chi-Square critical score? Is the associated p -value less than or greater than the alpha level of .05? Is the Chi-Square statistically significant? Past or Before p -value > or < than .05 Statistically significant i. Do we reject or not reject the null hypothesis?

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Reject or Not reject: j. State the conclusion of your analysis (which is a restatement of the supported hypothesis). k. State your conclusion more generally (based off the general question).

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