T-Test Results for Academic Performance by Test Preparation Course Status
- Math Scores:
- P-value: $1.54 \times 10^{-8}$
- Reading Scores:
- P-value: $9.08 \times 10^{-15}$
- Writing Scores:
- P-value: $3.69 \times 10^{-24}$
Conclusion: The p-values for math, reading, and writing scores are significantly lower than the common alpha level of 0.05, suggesting that we reject the null hypothesis. There is a statistically significant difference in academic performance between students who completed a test preparation course and those who did not.