{"id":117,"date":"2018-03-27T13:39:00","date_gmt":"2018-03-27T11:39:00","guid":{"rendered":"https:\/\/kindsonthegenius.com\/blog\/2018\/03\/27\/hypothesis-testing-question-19-run-test-trees-were-planted\/"},"modified":"2020-08-22T20:33:25","modified_gmt":"2020-08-22T18:33:25","slug":"hypothesis-testing-question-19-run-test-trees-were-planted","status":"publish","type":"post","link":"https:\/\/kindsonthegenius.com\/blog\/hypothesis-testing-question-19-run-test-trees-were-planted\/","title":{"rendered":"Hypothesis Testing Question 19 – Run Test ( Trees were planted…)"},"content":{"rendered":"
\n
\n

Question 19<\/span><\/strong>
\nTrees planted along the road were checked for which ones are healthy(H) or deseased (D) and the following arrangement of the trees were obtained:<\/p>\n

H H H H D D D H H H H H H H D D H H D D D<\/p>\n

Test at the\u00a0 {displaystyle varepsilon !}<\/span>\"varepsilon\u00a0 = 0.05 signnificance wether this arrangeemnt may be regarded as random<\/p>\n

 <\/p>\n

Solution Steps<\/span><\/strong>
\nStetp 1:<\/strong> State the null and alternate hypothesis
\nH0: Arrangement is random
\nH1: Arrangement is not random<\/p>\n

 <\/p>\n

Step 2<\/strong>: Calculate the number of runs, H and D<\/p>\n

H H H H<\/span> D D D<\/span> H H H H H H H <\/span>D D <\/span>H H <\/span>D D D D<\/span><\/p>\n

Number of runs is given by R = 6
\nNumber of H, n1<\/sub> = 13
\nNumber of D, n2<\/sub> = 9<\/p>\n

 <\/p>\n

Step 3: <\/strong>Lookup Critical values in table of runs tests
\nAt\u00a0 \"varepsilon\u00a0 = 0.05 signnificance, n1<\/> = 13, n2<\/sub> = 9<\/p>\n

 <\/p>\n

Step 4: <\/strong>State your Conclusion
\nIn this case , since the absolute value calculated is less than the critical value, we reject the null hypothesis and conclude that the arrangement is not random<\/p>\n

 <\/p>\n

Note about the Run Test<\/strong>
\nThe Run Test (which is also the Wald-Wolfowitz runs test) is a non-parametric statistical test that tests the randomness of a hypothesis for a 2-valued sequence of data.
\nIt is used to test the hypothesis that the elements of the sequence are mutually independent<\/p>\n<\/div>\n<\/div>\n

<\/ins>
\n<\/ins><\/p>\n","protected":false},"excerpt":{"rendered":"

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