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You are stocking the bar for the hospitality room at the meeting of the Repulica

ID: 3316454 • Letter: Y

Question

You are stocking the bar for the hospitality room at the meeting of the Repulican Association of People Running for President. At the meeting four years ago, here were the percentages people asked for:

Scotch              Bourbon         Vodka

60%                  25%               15%

At this year's meeting of 400 people, here is what they actually asked for:

Scotch               Bourbon         Vodka

210                    130                  60

a. Do all the Chi-Square steps. Show your work. How well did what you observed fit what you expected.

b. Interpret the results. What do the results mean?

Explanation / Answer

Ans:

a)Total number of observations=210+130+60=400

Expected count can be calculated as 0.6*400=240,0.25*400=100,0.15*400=60

Test statistic:

chi square score=12.75

degree of freedom=3-1=2

p-value=CHIDIST(12.75,2)=0.0017

Assume significance level=0.01

As,p-value<0.01,we reject null hypothesis.

b)

There is not enough evidence to suggest that observed number of people this year in each category are distributed as per distribution 4 years ago or expected distribution.

Observed(O) Expected(E) (O-E)^2/E Scotch 210 240 3.75 Bourbon 130 100 9 Vodka 60 60 0 Total 400 400 12.75
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