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Examples of Null Hypothesis Testing Decisions
The logic of null hypothesis testing can be applied to real research scenarios. For example, if researchers find a very small difference in talkativeness between men and women (), they would determine this result is fairly likely even if there were no true difference in the population, leading them to retain the null hypothesis. Conversely, if researchers find a strong correlation () between daily hassles and stress symptoms, they would determine this sample result is highly unlikely if there were no true relationship, leading them to reject the null hypothesis in favor of the alternative.
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Research Methods in Psychology - 4th American Edition @ KPU
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Examples of Null Hypothesis Testing Decisions
Rejecting the Null Hypothesis
Arrange the following steps of null hypothesis testing in the correct logical order.
In psychology research, when applying the general logic of null hypothesis testing, what is the primary basis for deciding to reject the null hypothesis?
A clinical psychologist is investigating whether a new mindfulness-based intervention reduces symptoms of Generalized Anxiety Disorder (GAD). Match each part of their statistical reasoning process to the corresponding logical step in null hypothesis testing.
According to the general logic of null hypothesis testing, if an observed sample result is 'not extremely unlikely' to occur under the assumption that no relationship exists in the population, the researcher is logically justified in rejecting the null hypothesis.
Imagine you are developing a standardized decision-making protocol for a research lab. To correctly implement the general logic of null hypothesis testing, which set of procedural instructions should you create to guide researchers in evaluating their results?
In the formal process of null hypothesis testing, the first step of the logical sequence is to temporarily assume that the alternative hypothesis is true (i.e., that a relationship exists in the population).
A researcher conducts a study and finds a sample relationship that is 'not extremely unlikely' to occur under the assumption of a true null hypothesis. According to the formal sequence of null hypothesis testing, the researcher's only logically sound decision is to _____ the null hypothesis, as the observed evidence has failed to meet the threshold required to support an alternative explanation.
A clinical psychologist is evaluating a new therapy for depression. Match each scenario-based application of their reasoning to the corresponding logical step in null hypothesis testing.
According to the formal process of null hypothesis testing, if a researcher determines that their observed sample relationship is extremely unlikely to have occurred under the assumption of no population relationship, the logical conclusion is to _____ the null hypothesis in favor of the alternative hypothesis.
A statistics teaching assistant is creating a flowchart to evaluate students' understanding of null hypothesis logic. Place the steps of the decision-making process in the correct logical sequence from start to finish.
Describe the formal, three-step logical sequence of null hypothesis testing. In your description, identify the temporary assumption made at the beginning of the process, what researchers calculate in the second step, and how the final decision is reached under both possible outcomes of the decision rule.
Explain how Dr. Miller should apply the logic of null hypothesis testing to her study. Specifically, describe the initial assumption she must make, what probability she needs to determine, and the two possible logical conclusions she could draw based on that probability.
A researcher studying a new reading program for children finds a sample difference in reading comprehension scores. When she determines the probability of obtaining this difference under the assumption that the reading program has no effect in the population, she finds that this result is extremely unlikely. Applying the general logic of null hypothesis testing, what decision should she make regarding the null hypothesis, and what is the resulting interpretation of her reading program?
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According to the logic of null hypothesis testing, what decision is typically made when researchers find a sample result that is fairly likely to occur even if there were no true difference in the population?
Based on the logic of null hypothesis testing, match each research scenario with the appropriate conclusion or decision researchers would reach.
Suppose a study finds a strong correlation of between mindfulness practice and stress reduction. If the researcher determines that this result is highly unlikely to occur if no true relationship existed in the population, the logic of null hypothesis testing dictates that they should ________ the null hypothesis.
Suppose a study finds a strong correlation of between daily hassles and stress symptoms. If the researchers analyze this result as being 'fairly likely' to occur by chance and subsequently decide to reject the null hypothesis, their logic is consistent with standard null hypothesis testing procedures.
A researcher finds a weak correlation of between herbal tea consumption and exam scores. Arrange the steps of the logical evaluation process they should use to justify the decision to retain the null hypothesis.
Imagine you are constructing a new research scenario for a textbook to illustrate the correct logic for rejecting a null hypothesis. Which of the following combinations of findings and justifications should you assemble to provide a scientifically sound example?
According to the logic of null hypothesis testing, if researchers find a very small difference in talkativeness between men and women (), they should reject the null hypothesis.
Arrange the steps in the correct logical order that researchers follow when applying null hypothesis testing to a strong sample correlation ().
Analyze the logic of null hypothesis testing by matching each research scenario or probability condition with the correct statistical decision and rationale.
A researcher observes a very small difference in talkativeness between men and women () and decides to reject the null hypothesis. Evaluating this research decision based on null hypothesis testing logic, this decision is incorrect because a difference this small is _____ even if there were no true difference in the population, meaning the null hypothesis should have been retained.
Recall the two examples of null hypothesis testing decisions described in the text. For each example, state the variables studied, the specific statistical value ( or ) reported, the likelihood of the result if the null hypothesis were true, and the final decision made regarding the null hypothesis.
Based on the logic of null hypothesis testing, what decision should the psychologists make regarding the null hypothesis? Explain the reasoning behind this decision in terms of the likelihood of the sample result when there is no true difference in the population.
Imagine you find a strong correlation of between mindfulness practice and test anxiety. If you determine this sample relationship is highly unlikely to occur if the null hypothesis were true, apply the logic of null hypothesis testing to state your statistical decision and your conclusion about the population relationship.