Question

Use the One-way ANOVA function in SPSS to answer the questions based on the following scenario. (Assume a critical level of significance of .05).

A researcher is interested in determining if participation in extracurricular activities affects academic performance.

High school students are randomly assigned to one of three conditions: no activities, some activities, many activities.

The data from the scores are as follows:

No activities: 75 74 66 79 62 68 59 73 76 69

Some activities: 78 85 85 77 81 76 90 85 73 80

Many activities: 58 70 58 59 62 55 58 63 67 59

6. Write an appropriate null hypothesis for this analysis.

Answer 1

The null hypothesis for the one-way ANOVA test is that there is no difference in the mean academic performance among students with no activities, some activities, and many activities.

Step-by-step explanation:

The appropriate null hypothesis (H0) for a one-way ANOVA analysis in the given scenario is that there is no difference in academic performance across the three levels of participation in extracurricular activities. Specifically, the null hypothesis would state that the mean academic performance for students with no activities, some activities, and many activities are all equal.

This can be mathematically represented as μ1 = μ2 = μ3, where μ1, μ2, and μ3 are the population means for the three different groups respectively.