You need to test whether a coin is fair or biased in favour of either heads or tails. You decide to do an experiment in which you toss the coin 10 times to see what happens. 1a. Without doing any calculations, writer down a range of values for the number of heads to appear in the 10 tosses that will make you reject the null hypothesis that the coin is fair. b. Also without doing any calculations, write down a range of values for the number of heads to appear in the 10 tosses for which you would not reject the null hypothesis but stull might be suspicious that the coin is not fair. If this is the case, how might you be able to reduce your suspicions? c. Use the binomial distribution to work out the probability of the events listed in 1a happening if the coin is fair.
You need to test whether a coin is fair or biased in favour of either heads or tails. You decide to do an experiment in which you toss the coin 10 times to see what happens.
1a. Without doing any calculations, writer down a
b. Also without doing any calculations, write down a range of values for the number of heads to appear in the 10 tosses for which you would not reject the null hypothesis but stull might be suspicious that the coin is not fair. If this is the case, how might you be able to reduce your suspicions?
c. Use the binomial distribution to work out the probability of the
d. Do you feel that this probability is small enough that you could reject the null hypothesis if one of the events listed occurred?
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