The phrase "statistically significant" is one of the most important ideas in statistics; yet, it is one of the most often misunderstood. please address the items below in a non-statistical (Average Joe) language:
- What does "statistically significant" mean?
- The p-value means the "probability" value? The probability of what?
- Given the following information, would your decision be to reject or fail to reject the null hypothesis? And what would you then conclude? (Set the level of significance at .05 for decision making.) Provide a clear explanation for your response.
- The null hypothesis is that there is no relationship between the type of video game a person plays and the number of violent behavior he/she exhibits (p = .04).
- The null hypothesis is that there is no relationship between the amount of sugar one consumes and the level of energy (p = .62).
- The research hypothesis is that there is a negative relationship between the number of hours worked and level of job satisfaction ((p = .09).