AnswersEHS Content Recovery - Probability and Statistics - Part CCalculating Probabilities for Sampling DistributionQuestion 3
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QuizMultiple Choice
Calculating Probabilities for Sampling Distribution
Question 3 • EHS Content Recovery - Probability and Statistics - Part C
A producer of gel pens claims that 96% of its pens can write more than 10,000 words without losing ink. A random sample of 500 pens is collected, and it is found that 470 of the pens can write more than 10,000 words without losing ink. Let = the proportion of the sample of pens that can write more than 10,000 words.The probability that 94% or fewer of these gel pens can write more than 10,000 words is 0.0115. Does this result provide convincing evidence against the producer of the gel pens?
Answer
A
Yes, the difference between the sample proportion and the parameter is 2%, which is less than 5%.B
Yes, the probability of seeing the sample result is so far from what is expected that the probability of it occurring by chance alone is very unlikely (0.0115 < 0.05).C
No, it is expected that at least 470 gel pens from this producer will write more than 10,000 words.D
No, the difference between the sample result and what is expected is not extreme enough. The probability of it occurring by chance alone is not unlikely (0.0115 < 0.05).