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1 vote
2 answers
88 views

What hypothesis test should be used for two categorical variables in Likert scale?

I'll give an example. Let's say I conducted a health survey in a hospital. I asked two questions. The first question is: 'I take medication to sleep well' and the second is: 'I feel unwell in the ...
0 votes
1 answer
128 views

Chi square goodness of fit test or individual test for proportion or both

I have dataset which looks like below - Categories Sample 1 Sample 2 .... Sample 9 Reference Proportion A 89 91 85 0.89 B 0 1 3 0.01 C 2 1 1 0.02 ... 6 8 7 0.06 I 1 2 1 0.005 I want to test ...
1 vote
1 answer
47 views

Hypothesis testing: formulation and rejection

Suppose I want to compare a book A with a book B to see if a particular word occurs significantly more or less often in either book. If I use the chi-square test (α = 0.05, one degree of freedom, ...
2 votes
0 answers
37 views

Establishing significance of crime statistics variation in a changing population over time [closed]

On the planet Zorblax, there are 2 ethnic groups, one much larger in number than the other. The National Statistics Body of Zorblax wants to determine, with significance, if one group commits a ...
5 votes
1 answer
653 views

Chi square test

I am reading about chi-square test but came across Chi square test of independence, Chi square test for goodness of fit and Chi square test of variance. I am confused and unable to find out what is ...
0 votes
0 answers
629 views

How to Determine if Group A is Significantly Better than Group B

Edit: Please Find the Table in Image I am conducting research on 2 groups and lets call them A and B and these 2 groups are 2 Variables of my dataset. These are categorical data.. Below is sample of ...
0 votes
0 answers
70 views

Z test vs Chi Square Test

I am faced with the following question: The proportion of US smokers $(p_1) = 136/157$. The proportion of Non-US smokers $(p_2) = 21/157$. To test $H_0 : p_1 = p_2$ versus $H_1 : p_1 > p_2$ at 5% ...
2 votes
2 answers
2k views

T Test or Chi Square?

There are 2 variables, City and No Of Matches won. Variables: 1City Sydney Canberra 2No Of Matches Won? Sydney: 200 out of 300 Canberra: 210 out of 300 Question: Is team Canberra ...
8 votes
4 answers
2k views

$\chi^2$ tabulated value

I noticed that the critical $\chi^2$ value increases as the degrees of freedom increase in a $\chi^2$ table. Why is that?