Question

ต่เ Chrome File Edit wew History Bookmarks People Window Help xlibb Peroerle Caleulator-eh x l G find the median . Google Searc MyClass Text → C 읊 https://www overview.php? Test-Unit 4 Midterm Total Marks: 15 pts Contingency Tables Independence 04a niE soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The from 293 kicks during games among top teams. In direction is from the perspective of the the direction of the goalkeeper jump. Do the results support the theory that because the kicks are solt fast, goalkeepers have no time todE react, accompanying table summarizes results oakeeperdé jumped, where the koick goaskeeper. Use a 0.05 significance level to test the claim thart the direction of the kick is independent of hedE table, jump direction indicates which way the g so the directions of their jumps are independent of the directions of thei, kicks? Goalkeeper Jump Kick to Left604 40 Kick to Center 3961 40 35 34 42 Please select ALL correct statement from those given below Answer How: Jump direction is independent of kick direction. 1. Hy: Jump direction is dependent on kick direction. 2.- X2 test statiste 11.600 3. P-value 0.021 4.Thare is sufficient evidence to warrant reection of the clam.that the direction of the kick is #5

Answer 1

Applying chi square test:

Expected	Ei=row total*column total/grand total	left	center	right	Total
	left	48.63	7.45	47.92	104
	center	36.47	5.59	35.94	78
	right	51.90	7.96	51.14	111
	total	137	21	135	293
chi square    χ2	=(Oi-Ei)2/Ei	left	center	right	Total
	left	2.659	1.600	1.308	5.568
	center	0.059	2.079	0.105	2.243
	right	1.889	0.000	1.900	3.789
	total	4.608	3.680	3.313	11.6003

p value for above test statistic =0.021

therefore all of the four options are correct