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	9	36	45
Do Not Drink Wine	11	44	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)Do not reject Reject H₀. Conclude that whether a person drinks wine and whether a person watches tennis are (Click to select)Dependent Independent events.

Answer 1

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a).

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

b).

	Watch tennis	Don’t watch tennis
Drink wine	9	36
Cell %	9%	36%
Row %	45%	45%
Column %	20%	80%
Don’t drink wine	11	44
Cell %	11%	14%
Row %	55%	55%
Column %	20%	80%

c) below is the contingency table :

Row	Column	fo	fe	(fo - fe)	(fo - fe)^2	(fo - fe)^2/fe
1	1	9	9	0	0	0
1	2	36	36	0	0	0
2	1	11	11	0	0	0
2	2	44	44	0	0	0
					Sum	0