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
P-value $= 0.574$
The null hypothesis for a one-sample runs test is __________________.

A) successive items did not constitute a random sample.
B) successive items constituted a random sample
C) the proportion of defective items is 0.05
D) the proportion of defective items is 0.058
E) the distribution is binomial