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, 490 values were between 0.2 and 0.5, 580 values were between 0.5 and 0.8, and 339 values were between 0.8 and 1. Test the hypothesis that the random sample was drawn from the uniform distribution on the interval [0, 1] by carrying out a χ2 test of goodness-of-fit at the level of significance 0.01.
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