I've got a question about t-test and figuring out if it produces a significant result.

I've got that the t-value must beat the critical value in order to produce a significant result.

But I'm not sure if these next to apply to the t-test....

1) the p-value is less that alpha and...

2) the difference between the means is within the confidence interval

If someone could just reassure me that these conclusions are correct it would be greatly appreciated.