A candidate must gather at least 8,000 valid signatures on a petition before the deadline in order to run in an election. One candidate turns in 10,000 signatures right before the deadline, but it's always expected that some percentage of them are invalid. Elections officials take the random sample of 100 signatures and thoroughly investigate them to find that 84% are valid. Is this statistically significant evidence that the candidate has enough valid signatures overall? Explain.
This solution is a 336 word, step-by-step example showing how to perform a hypothesis test to evaluate a population proportion.