TU Wien:Statistik und Wahrscheinlichkeitstheorie UE (Levajkovic)/Übungen 2023W/HW11.4

${\mathcal {X}}^{2}$-test for independence (without R)

120 students from major computer science of three Viennese Universities were randomly chosen and asked which lecture of mathematics (a: calculus, b: algebra, c: probability) they enjoyed most. The frequencies are given in the following table: (Note: table #1 below)

Obtain the missing observed frequency $m$ perform a ${\mathcal {X}}^{2}$-test to test whether the preference for a lecture is independent from the university, on a 5% significance level. Only use the following table which gives the 95%−quantile $q$ of the ${\mathcal {X}}^{2}$-distribution with $df$ degrees of freedom. (Note: table #2 below)

Dieses Beispiel ist als solved markiert. Ist dies falsch oder ungenau? Aktualisiere den Lösungsstatus (Details: Vorlage:Beispiel)

table #1

	Uni A	Uni B	Uni C
calculus	15	10	5
algebra	10	20	15
probability	20	10	$m$

table #2

$df$	1	2	3	4	5	6	7	8	9
$q$	3.84	5.99	7.81	9.49	11.07	12.59	14.07	15.51	16.92

Hilfreiches

Beispiel auf Vorjahr mit anderen Zahlen, sonst aber ident: TU_Wien:Statistik_und_Wahrscheinlichkeitstheorie_UE_(Levajkovic)/Übungen_2022W/HW11.3