help plz Nielsen/NetRatings is a global leader in Internet media and market rese

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help plz

Nielsen/NetRatings is a global leader in Internet media and market research. In May 2006, the firm reported on the "search" shares (i.e., percentage of all Internet Searches) for the most popular search engines available on the Web. Google accounted for 50% of all searches. Yahoo! for 22%, MSN for 11%, and all other search engines for 17%. Suppose that in a random sample of 1,000 recent Internet searches, the following were obtained. Observed Frequency Google Yahoo MSN Other 487 245 121 147 Perform a goodness of fit test to determine if the number of people who use each search engine as reported by Nielsen/NetRatings are the same. Use alpha = 05.

Explanation / Answer

Ans:

H0:data is consistent with the specified distribution(Number of people who use each search engine as reporrted by Neilsen/Net ratings are same.)

H1:data is not consistent with the specified distribution(Number of people who use each search engine as reporrted by Neilsen/Net ratings are not same.)

Expected count

Google=0.5*1000=500

Yahoo=0.22*1000=220

MSN=0.11*1000=110

Others=0.17*1000=170

calculated Chi square score=7.39

Critical chi square score for significance level=0.05 and df=4-1=3 is 7.81

As,calculated Chi square score<critical chi square score,We fail to reject null hypothesis.

Observed(O) Expected(E) (O-E)^2/E Googlr 487 500 0.34 Yahoo 245 220 2.84 MSN 121 110 1.10 Other 147 170 3.11 Total 1000 1000 7.39

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