请以资深中国数学教师的身份,解析图片上习题的答案,要求讲解过程图文并茂,用不同的颜色标注,语言风格风趣幽默,简单易懂。---**Textual Information:**
7. 假设检验与区间估计的关系: (检验统计量与枢轴量相同). 置信度为 1-α 的双侧置信区间与显著性水平为 α 的双侧检验问题是一一对应的.
【例9.6】 设 α 为显著性水平, β 为置信水平, 若 λ 为 T 统计量的临界值, 则
α = P{__________}, β = P{__________}.
**Chart/Diagram Description:**
* **Type:** A sketch of a probability density function curve (bell shape, likely representing a t-distribution or normal distribution) with a horizontal axis and a vertical axis.
* **Main Elements:**
* **Curve:** A unimodal, symmetric curve peaking at the vertical axis.
* **Horizontal Axis:** Representing the range of the statistic's values. It has tick marks and labels indicating specific values.
* **Vertical Axis:** Labeled with an upward arrow, likely representing the density.
* **Labeled Points/Regions:**
* Two vertical lines on the horizontal axis are marked, symmetric about the vertical axis.
* The left mark is labeled "-λα/2".
* The right mark is labeled "λα/2".
* The regions under the curve to the left of -λα/2 and to the right of λα/2 are shaded or marked with hatching, indicating tail areas.