Question

7. Conduct the appropriate statistical test that will answer your hypothesis - Such as regression analysis, single t-test, independent t-test, cross-tabulations, Chi-square, or One-Way ANOVA. Explain your justification for using the test based on the type of data and the level of measurement

	Living arrangement pf Seniors
Sense of isolation	Housing development	Integrated Neighborhood	Totals
Low	80	30	110
High	20	120	140
Totals	100	150	250

Answer 1

Here we will conduct a Chi-Square test of independence. We will check if Sense isolation and Living arrangement are related.

Hypothesis to be tested:

Test Statistics:

Calculation table for expected values:

	Senior housing	Integrated Neighbourhood	Total
low
high
Total

Calculation table for test statistics

	Senior housing	Integrated Neighbourhood
low
high

Value of test statistics :

Critical Region:
Here we take level of significance as 0.05. And df=1 [df=(no. of rows-1)*(no. of columns-1)=(2-1)(2-1)=1]
Critical value
We reject our null hypothesis is Calculate greater than  

Decision and conclusion:
Our calculated is much greater than our tabulated. Hence we reject our null hypothesis and conclude that  Sense isolation and Living arrangement are related. or dependent