Auto parts were subjected to a crash test with two potential outcomes and the re

Question

Auto parts were subjected to a crash test with two potential outcomes and the results were as follows: (1, 1, 0, 1, 0, 1, 1, 1, 1, 0). Assume 1 is for success and 0 for failure. What is the value of the sample proportion of failures? Assume 0 is for success and 1 for failure. What is the value of the sample proportion of failures? If we assume 1 is for success and labeled all 1's as S and 0 for failure and labeled all 0's as F, we can still calculate the proportion of successes and failures in the sample. What does this tell us about the type of the data?

Explanation / Answer

We have

(1,1,0,1,0,1,1,1,1,0)

If 1 is for Success and 0 for faliure

Sample Proportion of Failures = 3/10 = 0.3

If 0 is for Success and 1 for faliure

Sample Proportion of Failures = 7/10 = 0.7

If we labelled all 1's as S and all 0's as F, we can still calculate the proportion of successes and failures in the sample, because we can still count the no of success and failure. This tells us that this is a binomial distribution data with each event is independent of the previous event and each event will result in either success or failure

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