Question

a.) state the hypotheses and identify the claim

b.) Find the critical value

3.) Compute the test value

4.) Make the decision

5.) Summarize the results to this problem: HOSPITALS and CESAREAN DELIVERY RATES--The national Cesarean delivery rate for a recent year was 32.2% (number of live births performed by Cesearan section). A randomn sample of 100 birth records from three large hospitals showed the following results for the type of birth. Test for homogeneity of proportion using a=0.10. HOSPITAL HOSPITAL HOSPITAL A B C Cesarean 44 28 39 Non-Cesarean 56 72 61

Answer 1

a) null hypothesis: Ho: proprotion of Cesarean is same for all of the hospitals

alternate hypothesis:Ha: at least one hospital has different  proprotion of Cesarean

b)

degree of freedom =(row-1)*(column-1)=(2-1)*(3-1)=2

for 2 df and 0.1 level critical value ²=4.605

3)

applying chi square test:

Observed	OBS	A	B	C	Total
	Ceasarean	44	28	39	111
	Non-Ceasarean	56	72	61	189
	Total	100	100	100	300
Expected	Ei=?row*?column/?total	A	B	C	Total
	Ceasarean	37.000	37.000	37.000	111
	Non-Ceasarean	63.000	63.000	63.000	189
	Total	100	100	100	300
chi square	=(Oi-Ei)2/Ei	A	B	C	Total
	Ceasarean	1.32	2.19	0.11	3.62
	Non-Ceasarean	0.78	1.286	0.063	2.13
	Total	2.10	3.47	0.17	5.749

4)

as test statistic 5.749 is higher than critical value ; we reject null hypothesis

5)

we have suffcieint evidence at 0.10 level to conclude that  at least one hospital has different  proprotion of Cesarean