Question

In order to see if a relationship exists (for the research question below), what multivariate , and null hypothesis can be developed for the following

You can chose any variables to test such that we get to answer the research question: does there exist a relationship between political influence and health care?

Basically, run any hypothesis testing that will show results to confirm or not, the above

Answer 1

Here we have to test, H0: = 0 against H1: 0,

where, is the population correlation co-efficient between political influence and health care.

The test-statistic for testing the above hypothesis is,

T = , where r is the sample correlation co-efficient between political influence and health care.

Under H0, T ~ t-distribution with (n-2) d.f.