At a home-and-garden show, randomly selected visitors were asked where they live

Question

At a home-and-garden show, randomly selected visitors were asked where they lived and where they normally shopped for their garden care products.

[a] Fill in the table with the row percentages of each location category.

[b] Write the null and alternate hypotheses for a test of independence on the data in the table.

[c] Calculate and report the P-value and record the expected values in the given table

P = ______

[d] Is there evidence of association between where people live and where they shop for garden care products? Why or why not?

[e] Is there evidence that where people live influences where they shop for garden care products? Why or why not?

garden shop discount store supermarket TOTAL Urban 11 20 15 46 Suburban 27 20 12 59 Rural 12 26 24 62 Total 50 66 51 167

Explanation / Answer

Ans:

a)

b)

H0:There is no association  between where people live and where they shop for garden care products.

Ha:There is a association  between where people live and where they shop for garden care products

c)

Test statistic:

Chi square=11.987

df=(3-1)*(3-1)=4

p-value=CHIDIST(11.987,4)=0.0174

d)Assume significance level=0.05

As,p-value<0.05,we reject the null hypothesis.

There is sufficient evidence to conclude that there is a association between where people live and where they shop for garden care products

Joint distribution garden shop discount store supermarket Total Urban 0.066 0.120 0.090 0.275 Suburban 0.162 0.120 0.072 0.353 Rural 0.072 0.156 0.144 0.371 Total 0.299 0.395 0.305 1.000

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