In a one-sample t-test, how is the alternative hypothesis formally expressed?

A researcher wants to determine whether the average anxiety score of university students at her institution differs from the established population average of 50. She conducts a one-sample t-test. In this study, the null hypothesis states that the true mean anxiety score of students at her institution is equal to 50, while the alternative hypothesis states that the true mean anxiety score is not equal to 50.

A clinical psychologist is investigating whether the average recovery time for patients using a new mindfulness-based therapy differs from the traditional clinical average of 14 days. Match the following components of the one-sample t-test to their correct application in this research scenario.

A researcher is investigating whether a specific training program changes the average attention span of children compared to the general population mean of 20 minutes. Arrange the following steps in the logical order required to analyze the relationship between the population parameters and the hypotheses for this study.

Imagine you are designing a research protocol to determine if the average level of job satisfaction among remote workers significantly deviates from the established corporate average of $70$ points. To construct the formal statistical basis for your one-sample $t$-test, which pair of hypotheses must you create to represent your research intent?

In a one-sample $t$-test, the null hypothesis posits that the true population mean ($\mu$) is significantly different from the hypothetical population mean ($\mu_0$).

A researcher investigates whether a new memory-enhancing drug changes the average number of words recalled compared to the general population mean of $15$ words. After observing a sample mean of $18$ words and finding the result to be statistically significant, the researcher concludes that the drug is effective. This conclusion represents an evaluation that the data provide sufficient evidence to support the _____ hypothesis.