CFA Level 2 Question

CFA Level II Quant
#1

Hi, I have a question from the qbank. How is this hypothesis test a one-tailed test? I thought greater than equal to was a two tailed test.

Consider the regression results from the regression of Y against X for 50 observations:
Y = 0.78 - 1.5 X
The standard error of the estimate is 0.40 and the standard error of the coefficient is 0.45.

Which of the following reports the correct value of the t -statistic for the slope and correctly evaluates H0: b1 ≥ 0 versus Ha: b1 < 0 with 95% confidence?

A) t = -3.750; slope is significantly different from zero.
B) t = 3.750; slope is significantly different from zero.
C) t = -3.333; slope is significantly negative.

Thanks!

#2

It isn’t.

The only way to refute a greater-than-or-equal-to null hypothesis is by having a test statistic that is sufficiently low (to the left); that’s a one-tail test.

#3

Thanks! That make sense.