A researcher has developed three different designs for a computer keyboard. A sample of n=60 participants is obtained, and each individual tests all three keyboards and identifies his or her favorite. The frequency distribution of preferences is as follows: Design A Design B Design C 23 12 25 n=60 The values for each category are the observed frequencies, fo, and note that the Σfo=n. Assume that the null hypothesis states that there are no preferences among the three designs. Find the expected frequencies for the chi-square test and determine the df value for the chi-square statistic.
I just want to make sure I got the answer correctly. i got Design A Design B Design C
23 12 25 n= 60
To get the expected frequency do you divide n by the amount of categories because it says there are no preferences among the three designs?
A researcher has developed three different designs for a computer keyboard. A sample of n=60 participants is obtained, and each individual tests all three keyboards and identifies his or her favorite. The frequency distribution of preferences is as follows:
|
Design A |
Design B |
Design C |
|
|---|---|---|---|
|
23 |
12 |
25 |
n=60 |
The values for each category are the observed frequencies, fo, and note that the Σfo=n.
Assume that the null hypothesis states that there are no preferences among the three designs.
Find the expected frequencies for the chi-square test and determine the df value for the chi-square statistic.
You should find that fe=20 for all three designs and df=2. Good luck.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
