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	37	45
Do Not Drink Wine	12	43	55
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)DependentIndependent events.

Answer 1

a)

Row 1	45%
Row 2	55%
Column 1	20%
Column 2	80%

b)

	Watch	Do Not
	Tennis	Watch Tennis
Drink Wine	8%	37%
	18%	82%
	40%	46%
Do Not Drink Wine	12%	43%
	22%	78%
	60%	54%

c)

Applying chi square test:

Ei=row total*column total/grand total	watch	do not	Total
drink	9.00	36.00	45
do not drink	11.00	44.00	55
total	20	80	100
=(Oi-Ei)2/Ei	watch	do not	Total
drink	0.1111	0.0278	0.139
do not drink	0.0909	0.0227	0.114
total	0.202	0.051	0.2525

X² = 0.253

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