Question

Consider how hypothesis differ according to the test you are conducting. What is the hypothesis in a t test versus a regression test?

Answer 1

In a t test for single mean, we compare use the population mean to define the hypothesis and find the test statistic to check whether the null hypothesis is rejected or not

Null hypothesis assumes that the population mean is equal to some specified value and alternate hypothesis assumes that the population mean value is less than the specified value (left tailed hypothesis)

In a regression test, we use the test statistic to find out whether the null hypothesis of no linear relation gets rejected or not. null hypothesis in regression test assumes that the slope coefficient is equal to 0 and alternate hypothesis assumes that the slope coefficient is not equal to 0 (significant relationship, two tailed hypothesis)

So, we can see how the hypotheses differ according to the test type.