Question

A large group of people in the country have been polled concerning political preferences. It is suspected that there is a virtually tie amongst the 3 parties.

Atavist Party - 300, Recidivst Party - 340, Elon Party - 360

Test whether there is a significant difference in party preferences in the country.

Answer 1

H0: There is no significant difference in party preferences in the country.

H1: There is significant difference in party preferences in the country.

Let the los be alpha = 5%

From the given data

	Observed	Expected
	Freq (Oi)	Freq Ei	(Oi-Ei)^2 /Ei
Atavist Party	300	333.3333	3.333327
Recidivst Party	340	333.3333	0.13333468
Elon Party	360	333.3333	2.13333888
Total:	1000	999.9999	5.60000056

The expected frequencies are calculated as 1000/3 = 333.3333

Critical X^2: 5.991471
P-Value: 0.0608

Here Chi-square value < Chi-square critical value and p-value > alpha 00.05 so we do not reject H0

Thus we conclude that there is no significant difference in party preferences in the country.