Question

In my sample, i have gathered a group of 10 friends and asked each of them if they preferred vaping over smoking and a seprate group of those who dont prefer either one. 3 of my friends said they dont smoke at all, 5 of them prefer to vape and 2 dont do either one.

Please help me create a test to find a null and alternative hypothesis for this set of data using either a regression test, one sample t-test or a chi square distribution even if you have to manipulate the sample data.

Answer 1

Here you have to perform proportion test and that would be more accurate instead of the test given above.

Hence,group of 10 friends

3 of my friends said they dont smoke at all

5 of them prefer to vape

2 dont do either one

Following are the set of hypothesis for testing all the statements,

For not smkers,

H0: proportion of the friends who does not smoke = 0.3

H1: proportion of the friends who does not smoke is not 0.3

For vape,

H0: proportion of the friends who perfer vape = 0.5

H1: proportion of the friends who perfer vape is not 0.5

For smokers,

H0: proportion of the friends who does smoke = 0.2

H1: proportion of the friends who does smoke is not 0.2