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In a random sample of 1800 observed values from the interval (0,1), it was found that 391 values were between 0 and 0.2; that 490 values were between 0.2 and 0.5; that 580 values were between 0.5 and 0.8; and that 339 values were between 0.8 and 1. Test the hypothesis that the random sample was drawn from a uniform distribution on the interval (0, 1) by carrying out a X2 test of goodness-of-fit at the level of significance 0.01.

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