# Hypothesis assignment

Assignment2:

 Cigarettes per day (X) Nicotine (Y) 60 179 10 283 4 75.6 15 174 10 209 1 9.51 20 350 8 1.85 7 43.4 10 25.1 10 408 20 344

Objective:

To check if there exists correlation between correlation total number of cigarettes smoked daily  and Cotinine consumptions by body.

Hypothesis:

Level of significance is 0.05:

Null hypothesis, H0: There exists no correlation between total number of cigarettes smoked on daily basis and Cotinine consumptions in the body.

Alternate hypothesis H1: There exists a correlation between total number of cigarettes smoked on daily basis and Cotinine consumptions in the body

Analysis:

Using the rank excel functions, the tanks for cigarettes smoked per day and consumption of nicotine in the body are calculates.

 RANK CORRELATION TABLE Cigarettes per day (X) Nicotine (Y) Rank (x) Rank (y) 60 179 1 12 10 283 5 5 4 75.6 11 2 15 174 4 9 10 209 5 5 1 9.51 12 1 20 350 2 10 8 1.85 9 4 7 43.4 10 3 10 25.1 5 5 10 408 5 5 20 344 2 10

Correlation

 Rank (x) Rank (y) Rank (x) 1 Rank (y) -0.92565 1

Conclusion:

The correlation of total number of cigarettes smoked on daily basis and Cotinine consumptions in the body is negative because -0.92565 is close to -1.