Question

3ASAP please

D) 13 8) A government agency believes that the median hourly wages for retail store workers in the centra In a random sample of 100 workers, 68 were paid less than $6.75, 10 were paid $6.75 rest more than $6.75. Find the test statistic z to test the government's hypothesis. Use a 0.05. A) -2.386 B) -3.912 C)-4.743 D)-3.187 A gne-sample sign test is a test of the median mean B) standard deviation D) mode

Answer 1

From the above problem it is given that A government Agency believes that the median hour wages for retail store workers in the central U S is $ 6.75. sample workers 100. H_o: eta = 6.75 and alternate H_1: eta notequalto 6.75 Let S_1 = observations less than 6.75 = 68 S_2 = observations greater than 6.75 = 100 - 68 - 10 = 22 Define, S = max {s_1, S_2} = 68 The P - value = 2 P (x > s), where x Bin (n, 1/2) Here the sample size, n = 100 ( > 30) so we can use Normal approximation The test - statistic is given by Z = S - n/2 - 1/2/squareroot n times 1/2 times 1/2 = 68 - 50 - 0.5/squareroot 100 times 1/2 times 1/2 = 3.5