Question

PSY 2030-Assignment 3:Chi-Square Tests

Due by Sunday, April 12th, at 11:30 PM

Scores out of 25 points (13 points for Question 1 and 12 points for Question 2)

Submit by uploading file(s) within "Assignment 3" on Canvas

SHOW YOUR WORK!!

Either very clearly type it out (making sure your formulas and integrity/formatting of your formulas are extremely clear) Or write it out by hand and attach a scan or photo of your work

Remember that all assignments must reflect your own independent work.

Question # 2 (12 points)

A survey of some graduating WSU Psychology majors asked them to indicate from a list of course, which one was their favorite course taken during their time here. Using the following results to conduct the 8 steps to hypothesis testing, based on alpha+.05, to determine whether there was a preference between courses.

Brain and Behavior Statistics Social Psychology Organic Chemistry Introduction to Psychology

4 8 3 0 4

Answer 1

We have to test for null hypothesis

against the alternativs hypothesis

Under null hypothesis, expected frequencies are as follows.

Subject	Expected number of students
Brain and Behavior Statistics	19/4= 4.75
Social Psychology	19/4= 4.75
Organic Chemistry	19/4= 4.75
Introduction to Psychology	19/4= 4.75

Our Chi-square test statistics is given by

Here, number of subjects

Degrees of freedom

Level of significance

[Using R-code '1-pchisq(3.105263,3)']

We reject our null hypothesis if .

Here, we observe that .

So, we cannot reject our null hypothesis.

Hence, based on the given data we can conclude that there was no significant preference between courses.