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1. Suppose that we observe data { y; ),_ independently generated from a distribution with probability density function f(y; 0) = 0(1 + 0 )-1,

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1. Suppose that we observe data { y; ),_ independently generated from a distribution with probability density function f(y; 0) = 0"(1 + 0 )-1, y = 0, 1, with some 0 > 0.(d) For the data given in (c), test hypothesis Ho : 0 = 0 against the alternative H1 : 0 # 60 with 0 = 0.25 using the score test, with the test statistic U (00) / VI (00). Provide the following values with rounding to exactly 2 decimal places. (i) Value of the test statistic, U (60) / VI (60) = (ii) Corresponding p-value = (iii) Do you reject the null hypothesis at 5% significance level? (No answer given)

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