Question 5 In an investigation into the disposition of diseased trees in a wood,

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Question 5 In an investigation into the disposition of diseased trees in a wood, fifteen R-distances (point-to-nearest- object distances) and fifteen S-distances (object-to-nearest-object distances) are calculated. The data are analysed using Hopkins' test with a 5% significance level. The rejection region for the test is h 0.482,and h 2.074. The observed value of the test statistic is 2.266. Select the option that gives a valid conclusion of the test. Select one There is insufficient evidence at the 5% significance level to reject the hypothesis that diseased trees are not randomly located in the wood. There is insufficient evidence at the 5% significance level to reject the hypothesis that diseased trees are randomly located in the wood. The hypothesis that diseased trees are randomly located in the wood can be rejected at the 5% significance level. Since the observed value of the test statistic is high, the data suggest that diseased trees are somewhat regularly located. The hypothesis that diseased trees are randomly located in the wood can be rejected a the 5% signficance level. Since the observed value of the test statistic is high, the data suggest that there is clustering of diseased trees

Explanation / Answer

since the test static value is lie in the rejection region:- it showed the hypothesis that diseased trees are randomly located in the wood can be rejected at the 5% significance level. since the observed value of the test static is high, the data suggest that there is clustering of diseased trees.

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