Question

A marketing research firm wishes to study the relationship between wine consumption and whether a person likes to watch professional tennis on television. One hundred randomly selected people are asked whether they drink wine and whether they watch tennis. The following results are obtained:

	Watch Tennis	Do Not Watch Tennis	Totals
Drink Wine	8	42	50
Do Not Drink Wine	12	38	50
Totals	20	80	100

(a) For each row and column total, calculate the corresponding row or column percentage.

Row 1	%
Row 2	%
Column 1	%
Column 2	%

  
(b) For each cell, calculate the corresponding cell, row, and column percentages. (Round your answers to the nearest whole number.)

	Watch Tennis	Do Not Watch Tennis
Drink Wine	Cell= %	Cell= %
	Row= %	Row= %
	Column= %	Column= %
Do Not Drink Wine	Cell= %	Cell= %
	Row= %	Row= %
	Column= %	Column= %

(c) Test the hypothesis that whether people drink wine is independent of whether people watch tennis. Set α = .05. (Round your answer to 3 decimal places.)

χ2χ2 =          

(Click to select)RejectDo not reject H₀. Conclude that whether a person drinks wine and whether a person watches tennis are (Click to select)IndependentDependent events.

Answer 1

a)

dividing row and column total with grand total

Row 1			50.00%
Row 2			50.00%
Column 1			20.00%
Column 2			80.00%

b)

dividing row and column total with grand total

	watch	do not
drink	8%	42%
	16%	84%
	40%	53%
do not	12%	38%
	24%	76%
	60%	48%

c)

Applying chi square test of independence:

Expected	Ei=row total*column total/grand total	watch	do not	Total
	drink	10.0000	40.0000	50.00
	do not	10.0000	40.0000	50.00
	total	20.00	80.00	100.00
chi square    χ2	=(Oi-Ei)2/Ei	watch	do not	Total
	drink	0.400	0.100	0.5000
	do not	0.400	0.100	0.5000
	total	0.8000	0.2000	1.000
test statistic X2 =		1.000

tDo not reject H₀ Conclude that whether a person drinks wine and whether a person watches tennis are Independent