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: Do Not Watch Tennis Watch TennisTotals Drink Wine Do Not Drink Wine Totals 28 52 80 37 63 100 20 (a) For each row and column total, calculate the coresponding row or column percentage Row 1 Row 2 Column 1 Columin2 (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- Do Not Drink Wine Cell- Cell- (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.) (Click to select. H). Conclude that whether a person drinks wine and whether a person watches tennis are | {Click to select) , events.

Answer 1

(a)

Row1 percentage:

(37 /100)*100% = 37%

Row2 percentage:

(63 /100)*100% = 63%

Column1 percentage:

(20 /100)*100% = 20%

Column2 percentage:

(80 /100)*100% = 80%

(b)

Following is the completed table:

		Watch Tennis	Do not watch Tennis
Drink Wine	Observed	9	28
	col	(9/20)=45%	(28/80)=35%
	row	9/37=24%	(28/37)=76%
	column	(9/100)=9%	(28/100)=28%
Do not Drink wine	Observed	11	52
	col	55.0%	65.0%
	row	17.0%	83.0%
	column	11.0%	52.0%

(c)

Following is the output of chi square test generated by excel:

The p-value is 0.4074

Since p-value is not less than $\alpha=0.05$ so we fail to reject the null hypothesis.

That is we can conclude that events person drinks and person watches tennis are independent events.