Question

Classic Golf Inc. manages five courses in the Jacksonville, Florida, area. The director of golf wishes to study the number of rounds of golf played per weekday at the five courses. He gathered the following sample information.

Day	Rounds
Monday		105
Tuesday		150
Wednesday		145
Thursday		120
Friday		105

At the 0.01 significance level, is there a difference in the number of rounds played by day of the week?

H₀: Rounds played is the same for each day.
H₁: Rounds played is not the same.

1) State the decision rule, using the 0.01 significance level

Reject H0 if chi-square > ______

2) Compute the value of chi-square.

Answer 1

The null and alternative hypothesis is

H₀: Rounds played is the same for each day.
H₁: Rounds played is not the same.

Proportion to played rounds = 1 / 5

Level of significance = 0.01

Degrees of freedom = 5 - 1 = 4

Critical value = 13.277

( From chi-square table)

1)

Decision rule:

Reject H0 if chi-square > 13.277

2)

Test statistic is

O: Observed frequency
E: Expected frequency.

E = n*p

n = 625

	O	E	(O-E)	(O-E)^2	(O-E)^2/E
	105	125	-20	400	3.2
	150	125	25	625	5
	145	125	20	400	3.2
	120	125	-5	25	0.2
	105	125	-20	400	3.2
Total	625				14.8