Question

The following sequence of 26 consecutive data values was collected. This sequence was found to contain twelve O's and fourteen 1's. Conduct a runs test for randomness for this sequence at the 0.05 significance level, and test the claim that the order of this sequence is random. 11000100110101010111011010 Round your answers to 3 places after the decimal point, if necessary. (a) Find the value of the test statistic. Test statistic's value: (b) Find the critical values. List both critical values in the answer box with a comma between them. Critical values: (c) What is the correct conclusion of this test? There is not sufficient evidence to warrant rejection of the claim that the order of this sequence is random. There is sufficient evidence to warrant rejection of the claim that the order of this sequence is random. There is not sufficient evidence to support the claim that the order of this sequence is random. There is sufficient evidence to support the claim that the order of this sequence is random.

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Answer 1

Answer:- Given Rata :- 26 Consecutive data values are collected. o's Contain = 12 i's Lontain -14 Significance devel 20.05 Ha- The sequence was produced in a random mannen Hi The sequence was y produced in a not random manner. 00g 109 LOUGLOVOV04910 Total Runs -18 Test static is 2= R-E(R) etddev (R) n, a number of zegol. number of onel n₂2 336 E(R) - an, 02 nith2 2X 12X14 12 + 14 26 ECR) = 12.923

steder (R) = un, 2 na (nitr233 4 (12) 2 (14) 2 (12+14) 3 1128 96 17576 - 6.423 = 2.53 2 - 18 -12.923 2.2.006 2.53 a) Text Statistic -2.006 b) The critical values are + 1.96 for 0.05 -1.96, +1.96 line Izl> zcoritical The z value 2.006 is not in between -1.96 , +1.96 So, Hb i aucepted (C) option c.
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