Question

	1. Conduct a χ2test for the following hypotheses at a 90% level of confidence:
		Ho:	fofits fe		(observed frequencies are consistent with those expected)
		H1:	fo does not fit fe		(observed frequncies are inconsistent with those expected)
	Doneness	f0	fe
	Rare	20	28	χ2=
	Medium	40	35
	Well	60	57	χ2α =
				Ho: is...		accepted/rejected
				Does fofit fe?

Answer 1

H0: Null Hypothesis: Observed frequencies are consistent with those expected

H1: Alternative Hypothesis: Observed frequencies are not consistent with those expected

Test statistic $\chi ^{2}$ is got as follows:

Doneness	fo	fe	(fo - fe)2/fe
Rare	20	28	2.2857
Medium	40	35	0.7143
Well	60	57	0.1579
Total = $\chi ^{2}$ =			3.1579

Degrees of Freedom = 3 - 1 = 2

$\alpha$ = 0.10

From Table, critical value of $\chi ^{2}$ = 4.605

H0 is accepted

f_o fits f_e