Question

Complete the following in regard to the hair color category of the data set:
a.	In the region to the right, make an appropriately labeled frequency table in regard ONLY to the hair color data (for this portion, ignore all other variables in the data set except hair color).  Next, extend the frequency table to include a relative frequency column.  Finally, create a bar chart graphic from the frequency table.
b.	Directly below, create a statement about “hair color” that the information from part a supports or suggests. Remember this statement is only to be made based on the sampled students' data for the online course as shown in your work in part a.
c.	Next, create a new statement/claim about “hair color” in regard to all students at FHSU  (this claim does not have to match the information in the bar chart).  Then briefly discuss whether the chart proves or disproves your statement.  Finally, what process would be required to measure statistically whether or not the claim you made is supported/discounted by the sample evidence?
Hair Color Blonde Black Brown Brown Brown Black Brown Brown Brown Black Black Black Brown Black Brown Brown Brown Brown Brown Blonde Black Brown Brown Blonde Black Blonde Black Blonde Brown Brown Brown Blonde Brown Brown Blonde Brown Brown Brown Red Brown Brown Black Red Brown Brown Brown Brown Blonde Red Blonde Blonde Brown Blonde Brown Brown Brown Brown Blonde Brown Brown

Answer 1

a)

Frequency and Relative Frequency

Frequency

Row Labels	Count of Hair Color
Black	10
Blonde	12
Brown	35
Red	3
Grand Total	60

Relative Frequency

	Frequnecy	Relative Frequency
Black	10	0.1667	Frequency/ Total of All frequnecy
Blonde	12	0.2000
Brown	35	0.5833
Red	3	0.0500
	60	1

B)

Statement: Hair Color of the Students in a class are significantly Differ.

C)

New Statement:

Claim - Proportion of the students with Blonde color, Red Color, Black Color and Brown Color are not same. That is they differ significantly.

Statistical Solution - You have to conduct a test for significance of the proportion and conclude the result..

YES. Graph also proves the newly made claim