1. Question:Brayden tosses a coin 500 times. Of those 500 times, he observes heads a total of 416 times. Calculations show that the probability of this occurring by chance is less than 0.01, assuming the coin is fair. Determine the meaning of the significance level.
2. Question:Suppose X∼N(11,0....
Question 1
Brayden tosses a coin 500 times. Of those 500 times, he observes heads a total
of 416 times. Calculations show that the probability of this occurring by chance is less
than 0.01, assuming the coin is fair. Determine the meaning of the significance level.
That is correct!
We expect that 416 of every 500 coin tosses will result in heads.
At the 0.01 level of significance, the coin is likely not a fair coin.
There is certainty that the coin is not a fair coin.
The results are not statistically significant at the 0.05 level of significance.
Answer Explanation
Correct answer:
At the 0.01 level of significance, the coin is likely not a fair coin.
The results of the experiment are significant at the 0.01 level of significance. This
means the probability that the outcome was the result of chance is 0.01 or less.
Because of this, we can be fairly confident, but not certain, that the coin is not a fair
coin.
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Question 2
Suppose X∼N(11,0.5), and x=12. Find and interpret the z-score of the
standardized normal random variable.
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