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Chrome File Edit View History Bookmarks People Window Help % 0, Mon Apr 2 19:13:39 ? ? ? D HOMEWORK 4 Q chapter 8 Flash x -which of the fol Q ISM301 3 Ch. 8 F × Q MIS ch 8 Flashc × Q chapter 8 Flash × Q ITA202 Chap 8 F × × × Cezto.mheducation.com/hm.tpx 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 Tennis Watch Tennis Totals 36 Drink Wine Do Not Drink Wine Totals 15 20 59 100 80 (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- Do Not Drink Wine Cell- Cell- Row Column Column (c) Test the hypothesis that whether people drink wine is independent of whether people watch tennis. Set ? = .05. (Round your answer to 3 decimal places.) 2Explanation / Answer
Result:
a).
Row1 41
Row2 59
Column1 20
Column2 80
b).
Chi-square Contingency Table Test for Independence
Col 1
Col 2
Total
Row 1
Observed
5
36
41
% of row
12%
88%
100.0%
% of column
25.0%
45.0%
41.0%
% of total
5.0%
36.0%
41.0%
Row 2
Observed
15
44
59
% of row
25%
75%
100.0%
% of column
75.0%
55.0%
59.0%
% of total
15.0%
44.0%
59.0%
Total
Observed
20
80
100
% of row
20.0%
80.0%
100.0%
% of column
100.0%
100.0%
100.0%
% of total
20.0%
80.0%
100.0%
2.646
chi-square
1
df
.1038
p-value
Test statistic = 2.646
Do not reject Ho. Conclude that whether a person drinks wine and whether a person watches tennis are independent events.
Chi-square Contingency Table Test for Independence
Col 1
Col 2
Total
Row 1
Observed
5
36
41
% of row
12%
88%
100.0%
% of column
25.0%
45.0%
41.0%
% of total
5.0%
36.0%
41.0%
Row 2
Observed
15
44
59
% of row
25%
75%
100.0%
% of column
75.0%
55.0%
59.0%
% of total
15.0%
44.0%
59.0%
Total
Observed
20
80
100
% of row
20.0%
80.0%
100.0%
% of column
100.0%
100.0%
100.0%
% of total
20.0%
80.0%
100.0%
2.646
chi-square
1
df
.1038
p-value
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