When evaluating a correlation test, what should a researcher conclude if the reported p-value is .348 and the alpha threshold is .05?

If a correlation test yields a p-value of .215 and the researcher has set the alpha threshold at .05, the researcher should conclude that the result is statistically significant and reject the null hypothesis.

A researcher runs four separate correlation tests in a psychology study. For each test, the software output and the pre-set alpha threshold are shown below. Match each test result to the correct statistical decision the researcher should make.

A researcher investigating the relationship between 'Social Media Use' and 'Attention Span' obtains a $p$-value of $.24$ for their correlation test. With a pre-set alpha level ($\alpha$) of $.05$, arrange the logical steps in the correct sequence to evaluate this result and justify the decision to retain the null hypothesis.

You are developing a standardized results interpretation key for a psychology research laboratory. You need to create an entry that correctly illustrates the conditions and conclusion for retaining the null hypothesis in a correlation test. Which of the following synthesized scenarios should you include in the key?

When testing a correlation coefficient, a $p$-value greater than the alpha ($\alpha$) threshold indicates that the researcher should reject the null hypothesis.

A researcher is conducting a correlation test in a psychology study. Match each statistical condition or outcome with its correct conceptual meaning in the decision-making process.

A researcher investigating the correlation between 'Digital Literacy' and 'Job Performance' obtains a $p$-value of $.04$. The researcher determines that the result is not statistically significant and chooses to retain the null hypothesis. This decision implies that the researcher's pre-set significance level ($\alpha$) must have been _____ than $.04$.

A researcher tests whether the number of hours per week students spend volunteering correlates with their scores on a life-satisfaction scale. Statistical software reports a p-value of $.11$ and the researcher had pre-set alpha at $.05$. After analyzing the output, the researcher correctly determines that the p-value of $.11$ _____ the alpha threshold of $.05$, which leads to retaining the null hypothesis and concluding that the sample does not provide sufficient evidence of a population-level relationship.

A researcher investigates whether hours of daily physical activity correlates with exam performance in college students. Statistical software reports p = $.017$ with alpha pre-set at $.05$. Evaluate and arrange the following steps in the logically correct order for reaching a valid statistical conclusion from this correlation test.

In a correlation test, what is the statistical rule for evaluating a $p$-value that is greater than the alpha threshold? State the decision to be made regarding the null hypothesis and the conceptual conclusion regarding the population relationship.

Based on the reported $p$-value and alpha threshold, diagnose whether the result is statistically significant, decide whether to reject or retain the null hypothesis, and justify the conclusion the researcher should make about the relationship in the population.

A psychology researcher measures the correlation between social media usage and attention span. The statistical analysis yields a $p$-value of $.12$ under an alpha threshold of $.05$. In one to three sentences, apply the decision rule for a correlation test to state whether the result is significant, whether to retain or reject the null hypothesis, and what to conclude about the population relationship.