"A researcher wants to test if a bag of candies contains an equal number of each color (red, blue, green, and yellow). "			
"According to the company, the bag should have an equal distribution of these colors. "			
You randomly select 100 candies from the bag and record the following observed counts:			
			
Red: 28			
Blue: 20			
Green: 25			
Yellow: 27			
			
You want to test if the observed distribution of colors is significantly different from the expected distribution.			
Test at the alpha significance level 0.05			
			
"Null hypothesis (H₀): The colors are equally distributed, meaning the observed frequencies do not significantly differ from the expected frequencies."			
"Alternative hypothesis (H₁): The colors are not equally distributed, meaning the observed frequencies differ significantly from the expected frequencies."			
			
	Oi (Observed)	Ei (Expected)	Test criterion
RED	28		
BLUE	20		
GREEN	25		
YELLOW	27		
##### Sheet/List 2 #####
"A company wants to know if there is a relationship between gender (male, female) and preference for a type of product (Product A, Product B). "						
"A survey is conducted, and the responses are as follows:"						
	Product A	Product B	Total			
Male	40	30				
Female	50	80				
Total						
						
The company wants to test if product preference is independent of gender.						
Test at the alpha significance level 0.05						
						
Null hypothesis (H₀): Product preference is independent of gender.						
Alternative hypothesis (H₁): Product preference is dependent on gender.						
						
						
Expected frequencies				Test criterion		
	Product A	Product B			Product A	Product B
Male				Male		
Female				Female