An information-retrieval system has ten storage locations. Information has been

Question

An information-retrieval system has ten storage locations. Information has been stored with the expectation that the long-run proportion of requests for location i is given by pi = (5.5 |i 5.5|)/30. A sample of 200 retrieval requests gave the following frequencies for location 1–10, respectively: 4, 15, 23, 25, 39, 31, 32, 12, 10, and 9. Use a chi-squared test at significance level 0.10 to decide whether the data is consistent with the a priori proportions (use the P-value approach).

Compute the test statistic value. (Round your answer to three decimal places.)

X^2 =

Explanation / Answer

applying chi square goodness of fit test on above data:

from above chi square test statistic  X^2 =8.873

observed Expected Chi square location Probability O E=total*p =(O-E)^2/E 1 0.033 4.000 6.67 1.07 2 0.067 15.000 13.33 0.21 3 0.100 23.000 20.00 0.45 4 0.133 25.000 26.67 0.10 5 0.167 39.000 33.33 0.96 6 0.167 31.000 33.33 0.16 7 0.133 32.000 26.67 1.07 8 0.100 12.000 20.00 3.20 9 0.067 10.000 13.33 0.83 10 0.033 9.000 6.67 0.82 1 200 200 8.8725

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