What is the probability that you will make a type i error

Question

1. You choose an alpha level of .01 and then analyze your data.
a. What is the probability that you will make a Type I error given that the null hypothesis is true? The probability of type I error is actually alpha given that the null hypothesis is true so it is 0.01.
b. What is the probability that you will make a Type I error given that the null hypothesis is false?
When null hypothesis is false, it is impossible to make a type I error. It means probability that you will make a type I error given that the null hypothesis is false is zero.

2. Below are data showing the results of six subjects on a memory test. The three scores per subject are their scores on three trials (a, b, and c) of a memory task. Are the subjects get- ting better each trial? Test the linear effect of trial for the data.

a b c
4 6 7
3 7 8
------------
4 6 9
2 4 2
a. Compute L for each subject using the contrast weights -1, 0, and 1. That is, compute (-1)(a) + (0)(b) + (1)(c) for each subject.
L1 -1*4+0*6+1*7=3
L2 -1*3+0*7+1*8=5
L3 -1*2+0*8+1*5=3
L4 --test on this column (with the L

Answer 1

For the probability question, please provide a solution with all the concepts and formulas used to solve it. You select an alpha level of .01 and then examine your data. 1) Find the probability that you will make a Type I error provided that the null hypothesis is true? The probability of type I error is in reality alpha provided that the null hypothesis is true so it is 0.01. 2) Find the probability that you will form a Type I error provided that the null hypothesis is false? 3) If null hypothesis is false, it is not possible to make a type I error. It signifies probability that you will form a type I error provided that the null hypothesis is false is zero.