a state the hypothesis and identify the claim b Find the cri

a: state the hypothesis and identify the claim. b Find the critical value. c. Compute the test value. d. Make the decision. e. Summarize the results. In a recent year, the most popular colors for light trucks were white, 30%, black, 17%, red, 14%, silver, 12%, gray, 11%, blue, 8%, and other, 8%. A survey randomly selected light truck owners in a particular area revealed the folllowing. At a= 0.05, do the proportions differ fromthose stated? White/45, Black/32, Red/30, Silver/30, Gray/22, Blue/15, Other/6.

Solution

a: state the hypothesis and identify the claim.

Null hypothesis: the proportions did not differ fromthose stated

Alternative hypothesis: the proportions differ fromthose stated (i.e. claim)

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b Find the critical value.

The degree of freedom =n-1=7-1=6

Given a=0.05, the critical value of X^2 with 0.95 and df=6 is 12.592 (from chisquare table)

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c. Compute the test value.