Question

PRI NIER VERSION BACK NEXI Chapter 7, Section 1, Exercise 006 The categories of a categorical variable are given along with the observed counts from a sample. The expected counts from a null hypothesis are given in parentheses. Compute the x-test statistic, and use the x-distribution to find the p-value of the test. Category Observed 59 (50) 31 (50) 60 (50) Round your answer for the chi-square statistic to two decimal places, and your answer for the p-value to four decimal places. chi-square statistic- p-value-

Answer 1

Ex. 006

	relative	observed	Expected	residual	Chi square
category	frequency	Oi	Ei=total*p	R2i=(Oi-Ei)/√Ei	R2i=(Oi-Ei)2/Ei
1	0.333	59	50.00	1.27	1.620
2	0.333	31	50.00	-2.69	7.220
3	0.333	60	50.00	1.41	2.000
total	1.000	150	150		10.840

chi square test statistic =10.84

p value =0.0044

Ex. 008

	relative	observed	Expected	residual	Chi square
category	frequency	Oi	Ei=total*p	R2i=(Oi-Ei)/√Ei	R2i=(Oi-Ei)2/Ei
1	0.100	58	50.00	1.13	1.280
2	0.200	92	100.00	-0.80	0.640
2	0.300	137	150.00	-1.06	1.127
3	0.400	213	200.00	0.92	0.845
total	1.000	500	500		3.892

chi square test statistic =3.89

p value =0.2736 ( please try 0.2734 if this comes wrong)

Ex.0034

Expected count =357.1

contribution =3.854 (try 3.849 if this comes wrong)