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 Do Not Tennis Watch Tennis Totals Drink Wine Do Not Drink Wine Totals 15 5 20 28 43 52 57 80 100 (a) For each row and column total, calculate the corresponding row or column percentage. Row 1 Row 2 65 × % 91 % Column 1 Column 2 25 % 65 % (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 = 15 % Cell = 28 % Row = 35 % Row= 65 % Column 75 % Column= 25 % = Do Not Drink Wine Cell = 5 % Cell = 52 % Row = 9 % Row = 91 % Column 25 % Column = 65 % (c) Test the hypothesis that whether people drink wine is independent of whether people watch tennis. Set a = .05. (Round your answer to 3 decimal places.) x^2= 0.350 × Do not reject × HO. Conclude that whether a person drinks wine and whether a person watches tennis are not independent events.

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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:
Do Not
Watch
Tennis
Watch Tennis Totals
Drink Wine
15
Do Not Drink Wine
Totals
5
28
52
43
57
20
80
100
(a) For each row and column total, calculate the corresponding row or column percentage.
Row 1
65 × %
Row 2
91 %
Column 1
25 %
Column 2
65 %
(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 =
15
%
Cell =
28
%
Row =
35
%
Row =
65
%
Column
75
%
Column =
25 × %
=
Do Not Drink Wine
|Cell =
5
%
Cell =
52
%
Row =
9
%
Row =
91
%
Column
25
%
Column =
65
%
=
(c) Test the hypothesis that whether people drink wine is independent of whether people watch tennis. Set a = .05. (Round your
answer to 3 decimal places.)
X^2 =
0.350 x
Do not reject
☑ HO. Conclude that whether a person drinks wine and whether a person watches tennis are
not independent
events.
Transcribed Image Text: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: Do Not Watch Tennis Watch Tennis Totals Drink Wine 15 Do Not Drink Wine Totals 5 28 52 43 57 20 80 100 (a) For each row and column total, calculate the corresponding row or column percentage. Row 1 65 × % Row 2 91 % Column 1 25 % Column 2 65 % (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 = 15 % Cell = 28 % Row = 35 % Row = 65 % Column 75 % Column = 25 × % = Do Not Drink Wine |Cell = 5 % Cell = 52 % Row = 9 % Row = 91 % Column 25 % Column = 65 % = (c) Test the hypothesis that whether people drink wine is independent of whether people watch tennis. Set a = .05. (Round your answer to 3 decimal places.) X^2 = 0.350 x Do not reject ☑ HO. Conclude that whether a person drinks wine and whether a person watches tennis are not independent events.
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