H0 is p = 0.45 and H1 is p ≠ 0.45. What type of test will be performed?
A. Two-tail testing of a proportion
B. One-tail testing of a proportion
C. One-tail testing of a mean
D. Two-tail testing of a mean
** I'm stuck between A & D. I chose those because two-tailed testing does not specify the departure from H0 in a particular direction and is written with the ≠ over < or >, which is the one tailed test hypothesis.
I narrowed it down between the two answers I picked and chose A, though I'm unsure if it's correct.
To determine the correct answer, let's first understand the concepts of one-tail testing and two-tail testing.
In statistical hypothesis testing, a one-tail test is conducted when the alternative hypothesis (H1) specifies the departure from the null hypothesis (H0) in a particular direction. In this case, H1 states that p is not equal to 0.45, but does not specify whether p is greater than or less than 0.45. Thus, this is a two-tailed test because it considers the possibility that p is either greater or less than 0.45, without specifying a direction.
Based on this understanding, the correct answer is A. Two-tail testing of a proportion.