Question

Observed	Loop	Whorl	Arch	Total
Male	120	53	12	185
Female	344	153	169	598
	464	206	181	783

Expected	Loop	Whorl	Arch	Total
Male	109.6296	48.67178	42.76501	201.07
Female	354.37	157.34	138.23	649.94
	464	206.01	180.99	851.01

Males: Loops = (464) X (185/783) = 109.63, Whorl = (206) X (185/783) = 48.67, Arch = (181) X (185/783) = 42.77 (Total of (48.67 + 42.77 + 42.77) 201.07 when it should be 185)

Females: Loops = (464) X (598/783) = 354.37, Whorl = (206) X (598/783) = 157.33, Arch = (181) X (598/783) = 138.23 (Total of (354.37+ 157.33+ 138.23) 649.94 instead of 598).

Can you explain why?

Answer 1

the given sum by you is incorrect here are the correct sums

Chi-Square Test
Observed Frequencies
Observed	Loop	Whorl	Arch	Total
Male	120	53	12	185
Female	344	153	169	666
Total	464	206	181	851
Expected Frequencies
Observed	Loop	Whorl	Arch	Total
Male	100.8696	44.78261	39.34783	185
Female	363.1304	161.2174	141.6522	666
Total	464	206	181	851