A directional hypothesis specifies not only that a relationship or difference exists but also indicates its direction, such as greater than, less than or positive/negative. It leads to one-tailed statistical tests because the region of rejection is placed in one tail of the distribution. This type of hypothesis is usually grounded in prior theory or strong empirical evidence that suggests a particular trend. Hence, a statement predicting that higher motivation will be associated with higher scores is a directional hypothesis.
Option A:
The null hypothesis generally states that there is no difference or no relationship between variables in the population. It does not predict any particular direction of effect and serves as the baseline for statistical testing. Therefore, null hypothesis does not match the directional expectation described in the stem.
Option B:
A non-directional hypothesis asserts that a relationship or difference exists but does not specify whether it is positive or negative, greater or less. It leads to two-tailed tests and is less specific than a directional hypothesis. Since the stem gives a clear upward direction, non-directional hypothesis is not the best fit.
Option C:
A statistical hypothesis is any statement about a population parameter that can be tested using sample data; it may be directional or non-directional. The term is broad and does not explicitly capture the directional nature emphasised in the question. Thus, statistical hypothesis is not the most precise completion.
Option D:
A directional hypothesis, such as โGroup A will score higher than Group B,โ narrows the predicted outcome, which can increase power if the direction is correct. This explicit specification of direction corresponds exactly to the example given in the stem.
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