Question

How are the last two calculated?

&12.2.15-T Question Help A study reported that 48% of men age 62 to 64 were still working, 34% of women age 62 to 64 were still working, 27% men age 65 to 69 were still working, and 23% of women age 65 to 69 were still working. Suppose that the study was based on a sample size of 100 in each group. Complete parts (a) through (c) a. Is there evidence of a significant difference among the groups with respect to the proportion who are still working? Use α=0.10 State the null and alternative hypotheses HI : Not all πί are equal (where,-1.2 3.4) H1 : At least one of the 지 is not equal to zero (where j = 1, 2, 3, 4) The test statistic is χ STAT-16373 (Round to three decimal places as needed.) The critical value for α-0.10 is (Round to three decimal places as needed.)

Answer 1

Applying chi square test:

	Oi	62-64 men	62-64 women	65-69 men	65-69 women	Total
	working	48	34	27	23	132
	not working	52	66	73	77	268
	total	100	100	100	100	400
Expected	Ei=row total*column total/grand total	62-64 men	62-64 women	65-69 men	65-69 women	Total
	working	33.00	33.00	33.00	33.00	132
	not working	67.00	67.00	67.00	67.00	268
	total	100	100	100	100	400
chi square    χ2	=(Oi-Ei)2/Ei	62-64 men	62-64 women	65-69 men	65-69 women	Total
	working	6.8182	0.0303	1.0909	3.0303	10.970
	not working	3.3582	0.0149	0.5373	1.4925	5.403
	total	10.176	0.045	1.628	4.523	16.373

from above chi square test statistic X² = 16.373

degree of freedom(df) =(rows-1)*(columns-1)=

3

for 3 df and above test statistic ; p value =0.001