The null hypothesis is a formal statement used in statistical testing that assumes no real effect, no difference or no association exists in the population between the variables under investigation. It serves as the default position that the researcher attempts to challenge with sample data. If the evidence is strong enough, the null hypothesis is rejected in favour of an alternative hypothesis. Because the stem specifies a hypothesis asserting no difference or relationship, it is clearly describing the null hypothesis.
Option A:
A research hypothesis (or alternative hypothesis) expresses the researcher’s expectation that a particular relationship or difference does exist in the population. It typically predicts a specific direction or pattern of effect. Since the stem states that the hypothesis asserts no difference or relationship, research hypothesis is not the correct term.
Option B:
Null hypothesis plays a central role in significance testing, where statistical procedures estimate the probability of obtaining the observed sample results if the null hypothesis were true. A low probability leads to rejection of the null, suggesting that a real effect may exist. The definition in the stem aligns directly with this idea, confirming null hypothesis as the correct answer.
Option C:
A directional hypothesis predicts not only that a difference or relationship exists but also the direction of that effect, such as one group scoring higher than another. It is not the hypothesis of “no difference” but rather one of specific difference. Therefore, directional hypothesis cannot complete the stem properly.
Option D:
Working hypothesis is a tentative assumption that guides early stages of investigation and may or may not be stated in statistical terms. It need not assert the absence of a relationship; instead, it often suggests a possible effect to be explored. As a result, working hypothesis does not match the definition given in the question.
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