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 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
Using α=0.1,the conclusion is __________________.
A) successive items did not constitute a random sample.
B) 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

Question

Quizplus · Accepted Answer

The p-value is 0.574 which is greater than the significance level α=0.1. Therefore, we do not have sufficient evidence to reject the null hypothesis that successive items constituted a random sample. Hence, the correct choice is (C) - do not reject the hypothesis that successive items constituted a random sample.

A Production Run of 500 Items Resulted in 29 Defectives