Question

Lab Assignment 7

1. You’re a wizard at Hogwarts and your job this year is to place The Sorting Hat on the students to decide which house they are in (there are 4 houses). You expect that you will get an even number of students in each house. The results are below:

Obs. Num.	Gryffindor	Slytherin	Hufflepuff	Ravenclaw
Observed Children	65	150	23	91
Expected Proportion

a) Write your hypotheses:	Ho: Ha:
b) Report your p-value and discuss your conclusion (statistical and biological)	p-value: Stat Conclusion: Biological Conclusion:
c) Report the expected numbers of each student in each house. What patterns do you notice from the test you performed?
What house do you belong in?

USING R STUDIO

Answer 1

a) H0: The even number of students in each house

H1: Not the even number of students in each house

b) From the given data

	Observed	Expected	Proportion
Obs. Num.	Freq (Oi)	Frequencies(Ei)	(Oi-Ei)^2 /Ei
Gryffindor	65	82.25	3.6178
Slytherin	150	82.25	55.8062
Hufflepuff	23	82.25	42.6816
Ravenclaw	91	82.25	0.9309
Total:	329	329	103.0365

R-code:

From R Output,

P-value = 0.0000

c) since P-value < alpha 0.05 so we reject H0

Thus we conclude that Not the even number of students in each house