Show that you have mastery over the idea behind hypothesis testing by calculating some probabilities and drawing conclusions.
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Niels has a Magic 8-Ball, which is a toy used for fortune-telling or seeking advice. To consult the ball, you ask the ball a question and shake it. One of 5 different possible answers then appears at random in the ball. Niels sensed that the ball answers "Ask again later" too frequently. He used the ball 10 times and got "Ask again later" 6 times.
Let's test the hypothesis that each answer has an equal chance of 20, percent of appearing in the Magic 8-Ball versus the alternative that "Ask again later" has a greater probability.
The table below sums up the results of 1000 simulations, each simulating 10 random answers with a 20, percent chance of getting "Ask again later".
According to the simulations, what is the probability of getting "Ask again later" 6 times or more out of 10?
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • a percent, like 12, point, 34, percent
Let's agree that if the observed outcome has a probability less than 1, percent under the tested hypothesis, we will reject the hypothesis.
What should we conclude regarding the hypothesis?
Please choose from one of the following options.
#\# of "Ask again later" out of 10Frequency