A Watson Wyatt Worldwide survey showed that 58% of all Hispanic Americans are satisfied with their salary. Suppose a researcher randomly samples 27 Hispanic American workers and asks whether they are satisfied with their salary with the result that 15 say yes. The sequence of Yes and No responses is recorded and tested for randomness by means of Minitab. The output follows. Using an alpha of .05 and a two-tailed test, what could you conclude about the randomness of the sample?
Runs Test: Yes/No
Runs test for Yes/No
Runs above and below K = 0.5556
The observed number of runs = 18
The expected number of runs = 14.3333
15 Observations above K, 12 below
P-value = 0.1452