A particular paperback book is published in a choice of four different covers. A

Question

A particular paperback book is published in a choice of four different covers. A certain bookstore keeps copies of each cover on its racks. To test the hypothesis that sales are equally divided among the four choices, a random sample of 100 purchases is identified.

(a) If the resulting X2 value were 6.6, what conclusion would you reach when using a test with significance level .05?

Reject H0Fail to reject H0    

(b) What conclusion would be appropriate at significance level .01 if X2 = 13.1?

Reject H0Fail to reject H0    

(c) If there were six different covers rather than just four, what would you conclude if X2 = 11.8 and a test with = .05 was used?
Reject H0Fail to reject H0    

Explanation / Answer

if p value > ; fail to reject

else reject

here degree if freedom =(n-1=3)

a) for 3 degree of freedom and X2 =6.6 ; p value =0.0858

Fail to reject H0

b)p value =0.0044

Reject H0

c)degree of freedom =n-1=5

p value =0.0376

Reject H0

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