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	6	50	56
Do Not Drink Wine	14	30	44
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)Do not rejectReject H₀. Conclude that whether a person drinks wine and whether a person watches tennis are (Click to select)IndependentDependent events.

Answer 1

a)

Row 1			56.00%
Row 2			44.00%
Column 1			20.00%
Column 2			80.00%

b)

	watch	do not
drink	6%	50%
	11%	89%
	30%	63%
do not	14%	30%
	32%	68%
	70%	38%

c)

Expected	Ei=row total*column total/grand total	Watch	Do not	Total
	drink	11.200	44.800	56
	do not drink	8.800	35.200	44
	total	20	80	100
chi square    χ2	=(Oi-Ei)2/Ei	Watch	Do not	Total
	drink	2.4143	0.6036	3.0179
	do not drink	3.0727	0.7682	3.8409
	total	5.4870	1.3718	6.8588
test statistic X2 =		6.859

Reject H₀.

Conclude that whether a person drinks wine and whether a person watches tennis are Dependent events.