Question

A company wants to determine if its employees have any preference among 5 different health plans which it offers to them. A sample of 200 employees provided the data below. Calculate the chi-square test statistic xã to test the claim that the probabilities show no preference. Use a = 0.01. 3 4 5 Plan 1 2 Employees 32 18 55 65 30 A. 55.63 OB. 37.45 O c. 48.91 OD. 45.91

Answer 1

Oi	pi=1/5	Ei=N*pi	$\frac{(Oi-Ei)^{2}}{Ei}$
32	0.2	40	1.6
18	0.2	40	12.1
55	0.2	40	5.625
65	0.2	40	15.625
30	0.2	40	2.5
			37.45

$\chi ^{2}=\sum \frac{(Oi-Ei)^{2}}{Ei}=37.45$