A Production Run of 500 Items Resulted in 29 Defectives $\mathrm { K } = 0.058$

Multiple Choice

A production run of 500 items resulted in 29 defectives items.A defective item is coded as 1 and a good item as 0.The following is an output from Minitab.
Runs Test: Defects

Runs test for Defects

Runs above and below $\mathrm { K } = 0.058$

The observed number of runs $= 57$
The expected number of runs $= 55.636$
29 observations above K, 471 below
$\mathrm { P } -$ value $= 0.574$
Using $\alpha$ =0.1, the conclusion is __________________.

A) successive items did not constitute a random sample.
B) reject the hypothesis that successive items constituted a random sample
C) do not reject the hypothesis that successive items constituted a random sample
D) reject the hypothesis that successive items constituted a random sample.
E) the distribution is binomial