Volume 4 Hyopthesis Testing - Rejection Regions in Hypothesis Testing

3 important questions on Volume 4 Hyopthesis Testing - Rejection Regions in Hypothesis Testing

Can you explain the parallels between Hypothesis Testing & Confidence Intervals

The main parallel seems to be that the sample size determines which distribution we use:
  • When n < 30, we use the t-distribution.
  • When n > 30, we use the normal distribution.

What are generally the 3 types of claims the Alternative Hypothesis (Ha) can make?

That something is
1) bigger than >, leading to a Right Tailed Test
2) Smaller than <, leading to a Left Tailed Test
3) or not equal to !=. Leading to a Two Tailed Test

Can you explain why > is associated with right tail test and < with left tail?

12.30

Because the values of a normal distribution are arranged in such a way that the average is in the middle, zero is to the left, and the highest value to the right.
So the "bigger than" values can be found to the right, and "less than" on the right.

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