Answer:
Sleep hours per night is independent.
Step-by-step explanation:
Given the data:
Hours of Sleep 39 or younger 40 or older
> 6 _____38 36
6 to 6.9 _ 61 58
7 to 7.9 __76 74
8 or more 65 92
The Chisquare statistic is to be used to perform the analysis :
The hypothesis :
H0: Sleep hours per night is independent
H1: Sleep hours per night is not independent
χ² = (observed - Expected)² / Expected
To save computation time. We could use a Chisquare calculator to perform the analysis :
The test statistic = 4.0061
The degree of freedom = (row - 1) * (column - 1)
Degree of freedom = (4-1)*(2-1) = 3*1 = 3
The Pvalue = 0.261
Since, Pvalue > α ; We fail to reject the H0 ;and conclude that sleep hours per night is independent.
______________total ___%
> 6 _____38 36__ 74 __ 14.8
6 to 6.9 _ 61 58 __ 119 __23.8
7 to 7.9 __76 74___150__30
8 or more 65 92___157__31.4
_______240 _260__500_100
