State an appropriate alternative hypothesis, also using the parameter q, that reflects the suspicion that the coin is biased toward tails. State what would be a result at least as extreme as the observed data, in view of your alternative hypothesis. (ii) Apply a one-tailed test to determine the p-value for the above data. (iii) Use the value of p you found in (iii) to determine the significance
3. A coin is flipped 10 times and comes up heads exactly once. The null
hypothesis for this experiment is that the coin is fair (i.e., that the
probability q of the coin landing heads is 0.5).
(i) State an appropriate alternative hypothesis, also using the parameter
q, that reflects the suspicion that the coin is biased toward tails. State what would be a result at least as extreme as the observed data, in view of your alternative hypothesis.
(ii) Apply a one-tailed test to determine the p-value for the above
data.
(iii) Use the value of p you found in (iii) to determine the significance
of the data, using the criteria that:
p > 0.1 means not significant.
0.1 > p > 0.05 means trends toward significance.
0.05 > p > 0.01 means significant
0.01 > p > 0.001 means highly significant.
p < 0.001 means very highly significant.
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